Maha Celestial Calculations

Compress long documents and RAG inputs into token-budgeted, deduplicated context packs with source-linked provenance. Returns original and compiled token counts, so the saving is verifiable. Net-positive above N = fee / (r x p) tokens: r your reduction, p your input price. Extractive and budget-bound, so check includedPassages before relying on it. Ranks Latin, Cyrillic, Greek, Arabic and CJK; CJK coarser (bigrams). Not for tabular or heavily-structured payloads.

Compile 1-8 documents into a token-budgeted context pack, then measure exact retention of 1-32 caller-labelled evidence spans. Returns the pack, source-linked passages, input and output hashes, original and compiled token estimates, tokensSaved, source coverage, and requiredEvidenceRetentionPercent. Retention is exact span matching only: not accuracy, answer quality, verification, or hallucination prevention. Extractive and budget-bound. Request content is not stored.

Evaluate exact retention of 1-32 caller-labelled evidence spans at exactly five ascending token budgets. Returns five source-linked Context Packs, per-run retention metrics, an evidence frontier, stable hashes, and a deterministic receipt digest. Price basis: five $0.01 evaluations. Retention is not truth, accuracy, answer quality, legal compliance, or hallucination prevention. Bodies are not stored.

Read one supported section of The Imagined Life as machine-readable licensed prose with edition and section identity. For agents researching this specific book. Not the complete edition, a general book search or permission to redistribute the work.

Purchase one pinned Markdown section of The Maha Principle with edition identity, word/byte counts and SHA-256 integrity receipt. Choose a section and confirm the edition digest before paying. Not an EPUB/PDF bundle, medical advice or factual certification. Personal/internal use only; no redistribution, resale, training rights or copyright transfer. No stored-result recovery.

Purchase one pinned Markdown section of The Orbital Mind with edition identity, word/byte counts and SHA-256 integrity receipt. Choose a section and confirm the edition digest before paying. Not an EPUB/PDF bundle, medical advice or factual certification. Personal/internal use only; no redistribution, resale, training rights or copyright transfer. No stored-result recovery.

Read one supported section of The Volcanic Engine as machine-readable licensed prose with edition and section identity. For agents researching this specific book. Not the complete edition, a general book search or permission to redistribute the work.

Build an astronomy or astrology tool with seven classical-body geocentric longitudes at one UTC instant, Tropical and versioned Lahiri Sidereal frames, conventions and a deterministic receipt. Public or synthetic inputs only. No interpretations, forecasts or predictive certification. Request and result bodies are not stored.

Choose a context budget before an agent run. Compare five extractive compilation budgets with token estimates and source coverage. Price basis: five compiler runs, the comparison table and the receipt digest. Uses caller-supplied documents; no answer generation, factual verification or guaranteed token-billing savings.

Great-circle angles for bounded caller-supplied right ascension and declination pairs in integer microdegrees; no ephemeris lookup.

Check up to 80 declared floor areas and assignable ratios, returning exact assignable/support-area totals. Uses one declared area unit and basis-point ratios. No geometry, zoning, code compliance, rentable-area or structural certification.

Check one structured public or synthetic low-stakes experiment plan for timing, comparator, outcome and analysis declarations. Returns deficiencies and an integrity receipt. No registration, trusted timestamp, prediction, power analysis or scientific validation.

Compare up to 64 proposed Base-USDC calls with a declared total budget, per-call cap, allowed payees and human-approval requirement. Returns policy mismatches and exact arithmetic totals. Does not authorize, sign or execute payments; caller approval labels are not verified.

Compare two structured celestial result declarations using versioned rules. Reports mismatched conventions and missing prerequisites. No inferred settings, time/frame conversion, calculation verification or predictive validation.

Convert half-open UTF-8 byte, UTF-16 code-unit, or Unicode code-point spans into all three units for supplied text. Reject offsets inside a code point. No PDF parsing, page inference, or external source lookup.

Check declared citation coverage of up to 64 claims against bounded source and locator inventories. Reject duplicate IDs and dangling references. Coverage is structural, not proof that a source supports a claim.

Compute binary Brier score and count-weighted ECE for up to 256 declared held-out score/outcome pairs. Supports probability or percent scores, normalized to probabilities. Equal-width bins use exact rational boundaries: lower inclusive, upper exclusive, final bin includes 1. Empty bins report null means/gaps. No clinical validity claim.

Compare up to eight declared records per version, converting length units and comparing properties, XYZ poses and wrapped yaw against separate length/angle/ratio tolerances. Reports additions, removals, unit changes and incompatible dimensions. Not field certification.

Multiply or divide two seven-component SI dimension vectors and compare with the expected output dimension. No unit conversion, formula validation, scale-factor inference or physical-model certification.

Find an exact 0/1 maximum-declared-value allocation for up to 64 evidence items and a 0–4096 integer token budget. Deterministic ID-based tie handling; items are indivisible. Optimality applies only to the additive caller-declared values, not relevance or answer quality.

Compare 2-20 caller-labelled observations of one claim, population and outcome. Returns opposing directions and explicitly excluded observations. No literature search, source inspection, consensus judgment or factual verification.

Compare up to 80 expected and 80 observed document descriptors against one declared tenant and scope. Flags missing, unexpected and cross-tenant documents; incomplete scope stays undetermined. Public/synthetic metadata only. Not access-control enforcement, corpus completeness or legal verification.

Interpolate between two integer-coordinate points with exact rational arithmetic and an integrity receipt. Refuses extrapolation and repeated nodes. Does not estimate measurement error or validate the interpolation model.

Get an inspectable exact solution to a 1-8 variable rational linear system. Returns rank, pivots, particular solution and null space; distinguishes unique, inconsistent and underdetermined systems. No floating-point conditioning or physical-model assessment.

Check exact quotes at declared code-point offsets and enumerate overlapping exact occurrences in supplied text (first 32 offsets, complete count). Unicode/case/whitespace are not normalized. A matching quote does not establish factual or contextual support.

Check presence of baseline, primary measure, acceptance threshold and bounded stopping rule; no efficacy or statistical validation.

Compare up to 64 total extracted spans from at most 16 labeled tools against exact code-point slices of supplied source text and declared UTF-8 hashes. Group identical source spans to expose text disagreements. No OCR/PDF execution, normalization, or completeness claim.

Compare up to 24 public/synthetic feature summaries: mean differences, reference-standardized shifts and variance ratios. Explicitly flags zero reference variance. Counts and variance convention are declared, not verified; not a distribution test or clinical inference. No raw EEG, participant identifiers or full participant signals.

Evaluate up to 64 explicitly fictional strategy/game choices against caller-declared integer utilities. Reports best declared actions, chosen utility, regret and observed-minus-declared error. No hindsight counterfactual outcome inference, financial advice, real-world intelligence assessment or strategy fitness claim.

Classify up to 100 declared measurement intervals against tolerances as pass, fail or hold. Integer millimetres; uncertainty is an absolute interval half-width, not a confidence level. No sensor verification or engineering approval.

Compare up to 32 requested uses with an explicit machine-readable license policy for reading, internal use, redistribution, resale or training. Unknown policies remain undetermined. Does not interpret legal prose, verify ownership, grant rights or provide a legal-compliance verdict.

Exact rational expected-yield and cost arithmetic for up to 16 scenarios and 12 sequential conditional reject rates. All batch units incur unit cost; rejected units incur an additional penalty. Reports differences from the first scenario and undefined cost per good unit at zero yield. Declared assumptions, not a production forecast.

Consolidate up to 128 cut rows by material and exact converted length in metres, summing integer quantities and total lengths without floating-point arithmetic. Supports mm/cm/m and four material classes. No kerf, stock nesting, waste optimization or fabrication certification.

Check declared MCP tool contracts before an upgrade. Compare required names and exact input/output schema digests with a supplied server snapshot, protocol version and transport. No server contact, semantic schema-subtyping proof or official conformance certification.

Validate exact UTF-8 SHA-256 hashes for up to 64 public or synthetic passages. No Unicode normalization, source authentication, or semantic validation.

Inspect a declared dependency graph of up to 64 nodes and 128 edges: exact cycle membership, source-root reachability, and deterministic graph digest. Duplicate edges and dangling references are rejected. Hash declarations are not authenticated.

Apply the composite trapezoidal rule to 2-128 equally spaced integer samples. Returns an exact rational arithmetic result, declared units and an integrity receipt. No quadrature-error estimate or claim of an exact underlying integral.

Check a declared bandwidth and up to 16 tones against the strict Nyquist inequality, with equality reported separately. Computes folded tone frequencies exactly. Assumes uniform sampling, bandlimited input and no jitter; does not verify filters, acquisition hardware or real signal bandwidth.

Verify one Ed25519 signature over up to 8,000 characters of exact UTF-8 receipt text using a supplied 32-byte public key. Returns cryptographic validity and message hash. Does not establish issuer identity, trusted time, licensing or the truth of the receipt. No private keys accepted.

Compare source coverage on exactly the same declared record cohort across two snapshots. Report per-record gained/lost sources, per-source count changes, and global coverage drift. Reject unknown sources or missing/duplicate records. Coverage does not establish source quality.

Compare bounded room requirements with supplied topology; report unknown and contradictory declarations, not architectural approval.

Check up to 32 JSON argument values against a closed, declared scalar tool contract: types, required fields, code-point length and exact safe-integer bounds. Rounded fractions/underflow are not integers. Returns unknown fields and mismatches. No remote references, arbitrary patterns, tool execution or MCP conformance certification.

Deterministic four-neighbor BFS on a grid of at most 24×24 cells. Returns a shortest obstacle-free route or an explicit unreachable/step-limit result. Toy discrete geometry only; no hardware, collision certification or physical feasibility claim.

Verify a bounded civic-ledger-1 public organizational decision suffix against declared checkpoints, including expected-head truncation detection. No Merkle proof or anchor.

Fit y = intercept + slope*x to 2–64 declared pairs using positive weights and exact rational normal equations. Returns residuals and weighted SSE rounded to 12 decimal places, plus finite float64 RMSE. Rejects degenerate X values; weights are not verified uncertainties. Not field certification.

Check up to 64 workflow steps for duplicate IDs, missing dependencies and cycles. Returns a deterministic topological order only when valid. No scheduling, tool execution, access approval or guarantee that the workflow will succeed.

Inspect one supplied x402-v2 exact-payment challenge against an explicit expected HTTPS resource, EVM CAIP-2 network, asset, payee and maximum price. Checks both URL declarations, structure and payment-policy fields only; no live probe, payment, facilitator verification or server-authenticity claim.

Build a reproducible chart view: Tropical and Lahiri Sidereal positions, Sidereal whole-sign houses, mean nodes, geometric aspects and panchanga for one UTC chart. Includes limitations and a deterministic receipt. Public or synthetic inputs only. No interpretation, forecast or predictive certification; bodies are not stored.

Build a Vimshottari timing display with birth balance, nine mahadashas and nine antardashas of the active mahadasha at a reference instant. Uses actual nakshatra stay time and a 365.2425-day year; includes conventions and receipt. Public or synthetic inputs only. No event prediction or interpretation; bodies are not stored.

Check one structured public or synthetic low-stakes experiment plan for timing, comparator, outcome and analysis declarations. Returns deficiencies and an integrity receipt. No registration, trusted timestamp, prediction, power analysis or scientific validation. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Great-circle angles for bounded caller-supplied right ascension and declination pairs in integer microdegrees; no ephemeris lookup. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Compare two structured celestial result declarations using versioned rules. Reports mismatched conventions and missing prerequisites. No inferred settings, time/frame conversion, calculation verification or predictive validation. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check up to 80 declared floor areas and assignable ratios, returning exact assignable/support-area totals. Uses one declared area unit and basis-point ratios. No geometry, zoning, code compliance, rentable-area or structural certification. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check supplied FASTA records for malformed headers, duplicate identifiers and invalid sequence characters before dataset ingestion. No functional or safety inference. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Consolidate up to 128 cut rows by material and exact converted length in metres, summing integer quantities and total lengths without floating-point arithmetic. Supports mm/cm/m and four material classes. No kerf, stock nesting, waste optimization or fabrication certification. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Compare up to 20 homogeneous rectangular-panel scenarios with fixed orientation, edge margin and kerf. Returns row/column capacity, sheet count and material utilization. Not mixed nesting, toolpaths, optimal packing or fabrication approval. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Propagate declared correlated measurement uncertainty for 1-8 sensitivities using c-transpose C c. Requires exact symmetric positive-semidefinite covariance; returns exact variance and a rational square-root enclosure. First-order only; no empirical covariance validation. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Multiply or divide two seven-component SI dimension vectors and compare with the expected output dimension. No unit conversion, formula validation, scale-factor inference or physical-model certification. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Apply the composite trapezoidal rule to 2-128 equally spaced integer samples. Returns an exact rational arithmetic result, declared units and an integrity receipt. No quadrature-error estimate or claim of an exact underlying integral. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Interpolate between two integer-coordinate points with exact rational arithmetic and an integrity receipt. Refuses extrapolation and repeated nodes. Does not estimate measurement error or validate the interpolation model. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Get an inspectable exact solution to a 1-8 variable rational linear system. Returns rank, pivots, particular solution and null space; distinguishes unique, inconsistent and underdetermined systems. No floating-point conditioning or physical-model assessment. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Get a checked rational bracket for a degree 1-8 polynomial root. Bisect a sign-changing rational bracket for at most 64 iterations; return a certified bracket or exact rational root. No arbitrary code, all-roots or uniqueness claim. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Convert a measurement without losing declared uncertainty: one decimal value and standard uncertainty across supported length, mass, time or temperature units using exact rational scale/offset arithmetic. No unit guessing, physical validation or expanded uncertainty. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Exact integer-minor-unit period arithmetic with unknown propagation; never treat missing amounts as zero. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

For agents reviewing shot-count results: return probabilities and binomial confidence intervals with the interval method and independence assumptions. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Calculate X, Y and Z Pauli expectations for a supplied valid single-qubit density matrix. Returns basis conventions; not a hardware measurement. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check a supplied single-qubit complex density matrix for unit trace, Hermiticity and positive semidefiniteness with explicit tolerance; no hardware validation. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Deterministic four-neighbor BFS on a grid of at most 24×24 cells. Returns a shortest obstacle-free route or an explicit unreachable/step-limit result. Toy discrete geometry only; no hardware, collision certification or physical feasibility claim. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check a declared bandwidth and up to 16 tones against the strict Nyquist inequality, with equality reported separately. Computes folded tone frequencies exactly. Assumes uniform sampling, bandlimited input and no jitter; does not verify filters, acquisition hardware or real signal bandwidth. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Compute exact rises/runs and rounded slopes from bounded caller samples in millimetres. Not live volcanic hazard analysis. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Find an exact 0/1 maximum-declared-value allocation for up to 64 evidence items and a 0–4096 integer token budget. Deterministic ID-based tie handling; items are indivisible. Optimality applies only to the additive caller-declared values, not relevance or answer quality. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Compare 2-20 caller-labelled observations of one claim, population and outcome. Returns opposing directions and explicitly excluded observations. No literature search, source inspection, consensus judgment or factual verification. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check up to ten declared claim-evidence relationships against a finite, versioned rule set. Reports unsupported frame transfers and missing information. Unknown combinations remain unresolved. No prose interpretation, source inspection or truth certification. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Compare up to 128 expected passage bindings with up to 128 retained descriptors by passage ID, parent document, version hash and chunk hash. Flags omissions, substitutions, repeats and ordering gaps. Public/synthetic metadata only; does not inspect prompts or prove what a model saw or used. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Prepare an inspectable context-selection evidence pack from caller-supplied documents and labelled spans. Combines budget comparisons, retention checks and policy-bound receipts. Verification concerns the declared workflow, not factual truth, answer quality or legal compliance.

Review a structured policy revision before release. Compare up to 40 caller-supplied clauses per version by stable ID, text and scope; report additions, removals and changes. Checks declared chronology, not legal effect, applicability or compliance. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check up to 500 supplied CSV records for quoting, column counts, duplicate headers, spreadsheet-formula prefixes and caller-declared scalar types. Return bounded row/column findings and input integrity hashes. No cell execution, automatic repair, PII detection or import-success guarantee.

Revisit up to three approved, rights-reviewed public text sources. Check exact quoted passages in versioned extracted text, compare declared prior text hashes and return bounded locators, retrieval times and hashes. No paywall bypass, PDF/JavaScript execution, factual certification or completeness guarantee.

Fetch one approved public endpoint without payment. Inspect Base and Arbitrum native-USDC quotes against caller-declared payee and spending caps, plus bounded discovery-schema observations and latency. No signing, settlement test, paid delivery, uptime guarantee or safety clearance.

Check up to 250 supplied product records for duplicate SKUs, nonpositive or malformed decimal prices, currency-code shape, and optional GTIN check digits. Return bounded row-level findings. No registry lookup, identifier ownership check, automatic repair or marketplace approval guarantee.

Retrieve up to three approved, rights-reviewed public text sources for one narrow question. Return a bounded extractive brief with exact short quotes, source links, locators, retrieval hashes and explicit unknowns. No model calls, invented answer, semantic contradiction detection, open-ended research or factual certification.

Compare stored, dated unpaid observations of one approved endpoint. Report quote, network, schema and reachability changes with sample counts, largest sampling gap and snapshot age. Sparse observations are not continuous uptime, customer calls, settlement or delivery evidence.

Evaluate up to 64 explicitly fictional strategy/game choices against caller-declared integer utilities. Reports best declared actions, chosen utility, regret and observed-minus-declared error. No hindsight counterfactual outcome inference, financial advice, real-world intelligence assessment or strategy fitness claim. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Convert half-open UTF-8 byte, UTF-16 code-unit, or Unicode code-point spans into all three units for supplied text. Reject offsets inside a code point. No PDF parsing, page inference, or external source lookup. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Align authorized declared edition locators for a supported Maha book, with unmapped and ambiguous states. No arbitrary PDF parsing or inferred textual equivalence. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Exact full-release and section hashes plus deterministic bounded line changes for explicitly licensed original Maha section versions; no semantic equivalence claim. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Compute earliest/latest starts and finishes and slack on a declared DAG of at most 48 tasks. Rejects cycles and unknown dependencies. Reports peak overlap of declared unit resource claims at the earliest schedule; does not optimize a resource-constrained schedule or verify physical resources.

Simulate up to 10 sequential assembly scenarios of 100 identical units using one shared crane and declared crews. Factory releases, lift and connection durations are explicit. No lift-capacity, structural, site-safety or optimized scheduling approval.

Prepare an audit-event export for deterministic comparison. Normalize up to 100 metadata events and reject duplicate IDs, malformed times or digests. Does not prove events occurred or establish provenance or completeness against an external system.

Compare up to 20 automation scenarios using declared setup cost, per-unit costs and volumes. Exact cents, savings and break-even counts; no currency conversion, demand forecast, investment advice or independently measured costs.

Match accession, isoform and version declarations against a caller-supplied hashed snapshot. Report missing or ambiguous matches; no authoritative database lookup.

Compare a declared assay with a reviewed control checklist and flag missing positive, negative, vehicle or technical controls. No experimental-success guarantee.

Check declared design hash, assay identity, evidence records and control gaps for a research handoff. Does not validate the design, sequence or biological efficacy.

Count DNA/RNA bases and ambiguities and calculate GC fraction on called bases only. Refuses mixed DNA/RNA alphabets; no sequence design or clinical inference.

Check supplied FASTA records for malformed headers, duplicate identifiers and invalid sequence characters before dataset ingestion. No functional or safety inference.

Globally align two DNA sequences of up to 400 bases using fixed Needleman-Wunsch scores; report aligned strings, identity and gaps. No pathogenicity inference.

Summarize supplied per-residue pLDDT scores into explicit confidence bins. Does not assess missing residues, folding correctness, function or clinical suitability.

Calculate composition, molecular mass and model-based charge descriptors from supplied protein sequences. For dataset analysis; not a folding or function prediction.

Calculate a Pfaffl expression ratio from supplied Ct values and amplification efficiencies; require a declared stable reference. No diagnostic interpretation.

Check supplied Ct replicates, efficiency and control declarations against fixed research QC bands; report Ct SD and failed conditions. No diagnostic validation.

Inspect structured sample assignments for technical/biological replication and batch confounding before comparing experimental groups. No causal conclusion from labels alone.

Fit normalized assay responses using a fixed-bottom/top logit-linear Hill model. Return half-response, slope and residuals; no dosing or nonlinear-fit guarantee.

Compare declared in-vitro, animal and human evidence frames against a requested claim frame. Flag mismatches; no truth certification or clinical endorsement.

Purchase 1-3 complete selected Markdown sections of The Maha Principle in your reading order, pinned to the current edition digest. Maximum combined text 48,000 UTF-8 bytes. Includes per-section and pack integrity hashes; no EPUB/PDF, redistribution, resale, training rights, factual certification or personalized medical advice.

Get a checked rational bracket for a degree 1-8 polynomial root. Bisect a sign-changing rational bracket for at most 64 iterations; return a certified bracket or exact rational root. No arbitrary code, all-roots or uniqueness claim.

Reconcile up to 80 committee-aggregate or non-personal organizational public/synthetic campaign ledger entries against declared opening and closing balances. Flags duplicate IDs and missing document references. Individual-contributor records are prohibited, including hashed or redacted records. Caller must attest authorized commercial use. No contribution intake, payment execution, filing or legal compliance verdict.

Fit positive rate-temperature observations by log-linear Arrhenius OLS; return activation energy, residuals and transformed-fit errors. No mechanism or extrapolation claim.

Reconcile molarity, mass concentration and fractions when required density and composition inputs exist. Flag missing assumptions; no invented material properties.

Calculate stock and working concentrations from supplied quantities with unit and feasibility checks. For arithmetic verification; no chemical-handling or safety guidance.

Convert electrode potentials with supplied SHE offsets only when declared conditions match. Explicit sign convention; no reference-data or area validation.

Fit supplied substrate/rate pairs by reciprocal Lineweaver-Burk OLS; report Km, Vmax and residuals. Exposes noise bias; no parameter confidence interval.

Compare supplied molecules using a declared fingerprint and similarity metric. For dataset analysis; chemical similarity does not establish equivalent function or safety.

Parse a bounded formula with parentheses using a pinned 30-element average-mass table. Return composition and molar mass; no isotopes, purity or safety claim.

Calculate a bounded set of molecular descriptors using a pinned toolkit version. For research dataset preparation; descriptors do not certify drug suitability or toxicity.

Compare supplied structures with explicit salt, protonation and stereochemical handling. For dataset reconciliation; no empirical identity or purity confirmation.

Check supplied reaction declarations for atom and charge accounting. For record quality control; no reaction feasibility, synthesis procedure or safety claim.

Parse supplied SMILES and report valence, stereochemistry and representation problems before molecular-data processing. Structural parsing does not establish safety.

Match supplied reference and sample peak lists under declared tolerances. For spectrum-data comparison; no unique compound identification from peaks alone.

Check citation metadata before an evidence review. Compare up to 20 declared source identities, revisions and locators; return exact mismatches and an integrity receipt. No source retrieval, passage-existence check or claim-support verification.

Compare up to 12 caller-supplied public committee-level totals and filing references at a declared assessment time. Preserves unknown totals, flags stale or amended snapshots and checks cash arithmetic. Caller must attest authorized commercial use and no individual-contributor information. No live FEC fetch, donor data, legal verdict or final-filing certification.

Compare up to 128 expected passage bindings with up to 128 retained descriptors by passage ID, parent document, version hash and chunk hash. Flags omissions, substitutions, repeats and ordering gaps. Public/synthetic metadata only; does not inspect prompts or prove what a model saw or used.

Find missing or stale declared evidence before a governance review. Compare up to 40 control requirements with revision- and scope-bound evidence descriptors. Does not inspect evidence contents, evaluate control effectiveness or certify compliance.

Propagate declared correlated measurement uncertainty for 1-8 sensitivities using c-transpose C c. Requires exact symmetric positive-semidefinite covariance; returns exact variance and a rational square-root enclosure. First-order only; no empirical covariance validation.

Package current original Maha repository microexcerpts or licensed original microtext with caller-declared cross-book links; authorial metaphor, not clinical truth.

Resolve an exact supported Tamil divine-name spelling to source-scoped records in a pinned registry. Keeps ambiguity and name coincidence explicit. No fuzzy universal synonym search, full source text or theological certification.

Paired finite-state replay of onset/dwell and hysteretic release settings over at most 512 labelled offline scores. Timers and state carry across contiguous trials. At equal timestamps score changes precede timers; no event fires at the final endpoint. Reports paired false-event, miss and latency metrics. No hardware or live control.

Align authorized declared edition locators for a supported Maha book, with unmapped and ambiguous states. No arbitrary PDF parsing or inferred textual equivalence.

Locate a printed pasuram reference in the pinned Project Madurai/Hart atlas. Resolves one supported number to its complete unit and exact edition-specific locator. No cross-edition renumbering, translation reproduction or single-verse occurrence claim.

Export caller-supplied public/synthetic plans and results as closed JSON and escaped plain-text Markdown with exact declared source references.

Check up to ten declared claim-evidence relationships against a finite, versioned rule set. Reports unsupported frame transfers and missing information. Unknown combinations remain unresolved. No prose interpretation, source inspection or truth certification.

Check selected versions of up to 40 declared documents against up to 100 effective-date records at one assessment time. Flags inactive, unknown and missing selections; overlapping active versions remain ambiguous. Public/synthetic metadata only. No inferred amendment graph, legal effect or source validation.

Inspect up to 80 declared attempt records for nonce reuse across intents, changed inputs under one idempotency key, duplicate settlements and ambiguous outcomes. No raw payloads or credentials; no live state access, automatic retry or payment authorization.

Compare up to 16 declared observation stations against 64 targets and 16 rectangular obstacles in a bounded 2D scene. Returns visible targets and uncovered IDs. No camera optics, 3D visibility, robot motion or physical inspection claim.

Exact minimum-cost set cover over at most 12 stations and 16 declared requirements. Enumerates at most 4,095 nonempty subsets; breaks equal costs by station count then sorted keys. Reports infeasible coverage explicitly. Coverage and costs are caller declarations, not field verification.

Replay up to 24 declared thresholds over at most 512 labelled scores in contiguous half-open trials. Reports rest rising-edge false events, rest active time, intention misses and first-active latency. State carries across trials; scores are held to the next sample. Held-out status is declared, not verified. No automatic selection or live control.

Exact full-release and section hashes plus deterministic bounded line changes for explicitly licensed original Maha section versions; no semantic equivalence claim.

Score supplied material candidates by weighted cohort min-max criteria; withhold incomplete scores without imputation. No qualification or engineering approval.

Check declared process temperature and corrosivity against substrate constraints and supplied evidence records. Flags conflicts; no fabrication recipe or compatibility approval.

Evaluate supplied absorption observations under a declared band-gap model with fit-window sensitivity. No universal band-gap or integrated-device performance claim.

Summarize supplied particle-size distributions while preserving number, mass or volume weighting. For metrology-data analysis; no toxicology or safety inference.

Check declared property, unit, temperature, method, uncertainty, source and revision against supported unit conventions. No independent measurement verification.

Reconcile required qualification tests with supplied pass/fail/not-run evidence records. List declared passes, failures and gaps; no material certification.

Match supplied Raman peak positions by nearest unused reference within an absolute tolerance. No linewidth analysis or unique material identification.

Relate supplied film thickness, resistivity and sheet resistance under stated uniform-film assumptions. For arithmetic checks; no measured device-performance claim.

Extract supported metrics from bounded supplied stress-strain data under a declared method. Report fit and sampling limits; no structural design approval.

Estimate differential strain from supplied expansion coefficients and temperature changes. For preliminary scenarios; no stress, delamination or reliability certification.

Calculate a one-dimensional layer and interface thermal-resistance scenario from supplied inputs. No hotspot, convection, transient or validated package-safety claim.

Calculate first-order Bragg spacings from supplied two-theta peaks and wavelength. Explicit units; no lattice indexing or unique phase identification.

Score up to 64 labelled time intervals and 128 command events: rest false activations, missed trials, wrong commands and first-correct response times. Public or synthetic event metadata only. No raw EEG, participant identifiers, live control, diagnosis or human-enhancement claim.

Deterministic approximate GMST geometry at supplied UTC samples, site and frozen equatorial positions; no refraction, weather, live data or continuous visibility claims.

Compare strict rank-prefix packing with rank-order greedy-fit and score-density greedy-fit for up to 64 passages under a 1–2048 token budget. Report evidence displacement and optional observed selection violations. Uses declared integer costs/scores; no tokenization or causal attribution.

Compare up to 20 homogeneous rectangular-panel scenarios with fixed orientation, edge margin and kerf. Returns row/column capacity, sheet count and material utilization. Not mixed nesting, toolpaths, optimal packing or fabrication approval.

Compare paired frozen-cohort recovery with seeded whole-paper cluster resampling (100–2000 replicates, 2–64 papers, 64 questions). Report a descriptive percentile interval for question-weighted complete-recovery delta. No question-level bootstrap, significance test, or population guarantee.

Review dependency cycles, declared evidence and completion prerequisites; no partner verification or evidence entailment.

Review a structured policy revision before release. Compare up to 40 caller-supplied clauses per version by stable ID, text and scope; report additions, removals and changes. Checks declared chronology, not legal effect, applicability or compliance.

Map nonpersonal public revision IDs, declared field changes and effective dates; no legal effect or contract interpretation.

Resolve declared committee-level filing IDs, duplicates and amendment chains only with explicit commercial authorization and no individual contributor information.

Review up to 80 public or synthetic spending records for duplicate IDs, inconsistent budgets, budget overruns and declared payee concentration. Duplicate-ID rows are excluded from totals. Flags are review leads, not fraud or legality findings.

Check declared publication views before release. Compare 2-8 article, registry and API views against canonical URL, content, release and source-set digests; flag stale, withdrawn or substituted views. No live fetch, release promotion or semantic content verification.

Compare caller-declared qubit count, connectivity and gate-duration requirements with supplied architecture capability records. No verified best-platform recommendation.

Compare structured benchmark protocol, workload, metric, noise and overhead declarations. Flags mismatches; labels are not independently validated.

Lint up to 128 declared gates on eight qubits for arity, target, angle and post-measurement errors. Returns scheduling depth; no simulation or equivalence proof.

Compare circuit durations with supplied T1/T2 values using an explicit relaxation/dephasing model. For scenario planning; not a measured device-fidelity guarantee.

For agents reviewing shot-count results: return probabilities and binomial confidence intervals with the interval method and independence assumptions.

Calculate X, Y and Z Pauli expectations for a supplied valid single-qubit density matrix. Returns basis conventions; not a hardware measurement.

Fit a bounded damped Rabi/Ramsey trace by frequency-decay grid search; report residuals, resolution, aliasing refusal and edge hits. No parameter confidence interval.

Fit supplied randomized-benchmarking decay observations with residuals and protocol-bound error estimates. Not a platform-independent quantum-computer ranking.

Invert a supplied single-qubit readout calibration and report sensitivity and nonphysical corrected fractions without clipping. Calibration uncertainty not estimated.

Check supplied stabilizer generators for commutation, independence and inconsistent constraints before analysing a code. No logical-error or fault-tolerance guarantee.

Calculate squared Uhlmann fidelity and purity for two supplied single-qubit density matrices. Explicit conventions; no experimental certification.

Check a supplied single-qubit complex density matrix for unit trace, Hermiticity and positive semidefiniteness with explicit tolerance; no hardware validation.

Calculate a surface-code resource scenario under an explicitly named layout and supplied error assumptions. For planning; not a demonstrated physical implementation.

Research one supported Tamil reception comparison with separate source frames and exact locators from the pinned public atlas. No inferred ancestry, uninterrupted transmission, universal identity or full source text.

Build a stable hashed manifest of bounded public/synthetic artifact contents, declared dependencies, algorithm version, seed, and parameters. Verify declared content hashes; reject duplicate/dangling dependencies and cycles. No artifact fetching, execution replay, signing, or authenticity guarantee.

Deterministic supplied-score ranking and one-criterion-at-a-time additive weight sensitivity, not research prediction.

Compare complete, partial, and missed evidence recovery on one matched, hash-frozen cohort of up to 64 questions and papers. Report paired transitions and a caller-declared complete-recovery drop threshold. Descriptive evidence-ID overlap, not answer quality or causal inference.

Check a revision handoff before reusing evidence. Compare one initial or superseding transition with its declared predecessor; return lineage inconsistencies and an integrity receipt. Does not establish authenticity, semantic equivalence or inherited review approval.

Match up to 64 settlements with 64 delivery receipts, including 128 distinct request IDs. Reports missing/contradictory records, duplicate IDs and reused transaction references. Exact settled total includes only unique settlement IDs/transactions, independent of delivery matches. No chain fetch, proof of buyer receipt or fulfilled-sales claim.

Exact integer-minor-unit period arithmetic with unknown propagation; never treat missing amounts as zero.

Generate 16–256 original synthetic sine/noise samples with seeded LCG noise and declared nonoverlapping blink-like pulses, single-sample spikes or dropouts. Returns artifact labels in arbitrary synthetic units. Toy test data only, not physiological simulation or third-party research data; no participant signals.

Compute exact rises/runs and rounded slopes from bounded caller samples in millimetres. Not live volcanic hazard analysis.

Review permission changes before an agent release. Compare two explicit allow-only sets by tool, action and exact resource; report additions, removals and wildcard additions. Does not resolve IAM inheritance or wildcard containment, or authorize execution.

Convert a measurement without losing declared uncertainty: one decimal value and standard uncertainty across supported length, mass, time or temperature units using exact rational scale/offset arithmetic. No unit guessing, physical validation or expanded uncertainty.

Package allowlisted current original Maha repository paragraphs or explicitly licensed original microcontent, with exact edition/section citations; no official hazard forecast.

Review a passage for Maha Principle epistemic classifications with a model-backed audit, not factual certification, legal advice, or human verification. Save the job reference and retrieve the completed result; job acceptance is not delivery. Short input excerpts may be retained in the result.

Compare bounded room requirements with supplied topology; report unknown and contradictory declarations, not architectural approval. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check citation metadata before an evidence review. Compare up to 20 declared source identities, revisions and locators; return exact mismatches and an integrity receipt. No source retrieval, passage-existence check or claim-support verification. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check declared citation coverage of up to 64 claims against bounded source and locator inventories. Reject duplicate IDs and dangling references. Coverage is structural, not proof that a source supports a claim. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Find missing or stale declared evidence before a governance review. Compare up to 40 control requirements with revision- and scope-bound evidence descriptors. Does not inspect evidence contents, evaluate control effectiveness or certify compliance. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Compare up to 64 total extracted spans from at most 16 labeled tools against exact code-point slices of supplied source text and declared UTF-8 hashes. Group identical source spans to expose text disagreements. No OCR/PDF execution, normalization, or completeness claim. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Validate exact UTF-8 SHA-256 hashes for up to 64 public or synthetic passages. No Unicode normalization, source authentication, or semantic validation. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check exact quotes at declared code-point offsets and enumerate overlapping exact occurrences in supplied text (first 32 offsets, complete count). Unicode/case/whitespace are not normalized. A matching quote does not establish factual or contextual support. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Classify up to 100 declared measurement intervals against tolerances as pass, fail or hold. Integer millimetres; uncertainty is an absolute interval half-width, not a confidence level. No sensor verification or engineering approval. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Compare up to 32 requested uses with an explicit machine-readable license policy for reading, internal use, redistribution, resale or training. Unknown policies remain undetermined. Does not interpret legal prose, verify ownership, grant rights or provide a legal-compliance verdict. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Compare up to 24 public/synthetic feature summaries: mean differences, reference-standardized shifts and variance ratios. Explicitly flags zero reference variance. Counts and variance convention are declared, not verified; not a distribution test or clinical inference. No raw EEG, participant identifiers or full participant signals. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Compare up to 64 proposed Base-USDC calls with a declared total budget, per-call cap, allowed payees and human-approval requirement. Returns policy mismatches and exact arithmetic totals. Does not authorize, sign or execute payments; caller approval labels are not verified. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Validate an x402 payment declaration before signing. Check a caller-supplied challenge against expected resource, network, asset, payee and exact spending limits; return mismatches and an integrity receipt. Offline only: no endpoint probe, uptime history, settlement test, safety clearance or payment authorization. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Debug uncertain x402 retries before paying again. Inspect up to 80 supplied attempt records for changed intent, nonce or request-key reuse, repeated settlements and ambiguous outcomes. Returns findings only; no live provider access, automatic retry, recovery execution or payment authorization. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Reconcile an agent session payment export. Match up to 64 supplied settlement rows and 64 delivery receipts, flag missing or contradictory records and reused transaction references, and total unique settlements exactly. Does not fetch the chain or prove the buyer received an API result. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Validate and normalize a JSON audit-event export before reconciliation. Check up to 100 supplied metadata events for duplicate IDs, malformed timestamps and invalid digests. Returns normalized events and an integrity receipt; no CSV parsing, live-system access or proof of event completeness. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Inspect a declared dependency graph of up to 64 nodes and 128 edges: exact cycle membership, source-root reachability, and deterministic graph digest. Duplicate edges and dangling references are rejected. Hash declarations are not authenticated. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Prepare a reproducible research handoff from supplied public or synthetic artifact contents, dependencies, algorithm version, seed and Supplied-record analysis, not independent certification. Full contract at the free describe URL.

Check a revision handoff before reusing evidence. Compare one initial or superseding transition with its declared predecessor; return lineage inconsistencies and an integrity receipt. Does not establish authenticity, semantic equivalence or inherited review approval. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Reconcile up to 80 committee-aggregate or non-personal organizational public/synthetic campaign ledger entries against declared opening and closing Supplied-record analysis, not independent certification. Full contract at the free describe URL.

Compare up to 12 caller-supplied public committee-level totals and filing references at a declared assessment Supplied-record analysis, not independent certification. Full contract at the free describe URL.

Resolve declared committee-level filing IDs, duplicates and amendment chains only with explicit commercial authorization and no individual contributor information. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Verify a bounded civic-ledger-1 public organizational decision suffix against declared checkpoints, including expected-head truncation detection. No Merkle proof or anchor. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check declared publication views before release. Compare 2-8 article, registry and API views against canonical URL, content, release and source-set digests; flag stale, withdrawn or substituted views. No live fetch, release promotion or semantic content verification. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Verify one Ed25519 signature over up to 8,000 characters of exact UTF-8 receipt text using a supplied 32-byte public key. Returns cryptographic validity and message hash. Does not establish issuer identity, trusted time, licensing or the truth of the receipt. No private keys accepted. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check presence of baseline, primary measure, acceptance threshold and bounded stopping rule; no efficacy or statistical validation. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Compare up to eight declared records per version, converting length units and comparing properties, XYZ poses and wrapped yaw against separate length/angle/ratio tolerances. Reports additions, removals, unit changes and incompatible dimensions. Not field certification. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check up to 32 JSON argument values against a closed, declared scalar tool contract: types, required fields, code-point length and exact safe-integer bounds. Rounded fractions/underflow are not integers. Returns unknown fields and mismatches. No remote references, arbitrary patterns, tool execution or MCP conformance certification. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check declared MCP tool contracts before an upgrade. Compare required names and exact input/output schema digests with a supplied server snapshot, protocol version and transport. No server contact, semantic schema-subtyping proof or official conformance certification. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Review permission changes before an agent release. Compare two explicit allow-only sets by tool, action and exact resource; report additions, removals and wildcard additions. Does not resolve IAM inheritance or wildcard containment, or authorize execution. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Check up to 64 workflow steps for duplicate IDs, missing dependencies and cycles. Returns a deterministic topological order only when valid. No scheduling, tool execution, access approval or guarantee that the workflow will succeed. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.