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.

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.

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

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

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.

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.

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

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.

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 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.

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

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.

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.

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.

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.

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.

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.

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.