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Mathematics5Math-7

5Math-7

A five-environment mathematics suite built around long-horizon inference under scientific and measurement uncertainty. Each domain has its own mathematical model and action grammar, requiring agents to maintain compact beliefs, choose observation-dependent experiments, manage nonlinear costs and irreversible actions, predict sealed outcomes, and know when to identify, return a candidate set, or abstain.

MathematicsAdaptive reasoningRLVR
Version2.0.0
Environments5
RewardScalar · 0–1
DeliveryPrivate ZIP
01 Task contract

A real, versioned RL environment.

A five-environment mathematics suite built around long-horizon inference under scientific and measurement uncertainty. Each domain has its own mathematical model and action grammar, requiring agents to maintain compact beliefs, choose observation-dependent experiments, manage nonlinear costs and irreversible actions, predict sealed outcomes, and know when to identify, return a candidate set, or abstain.

Agent objective

  • Interact with the supplied stateful environment.
  • Produce verifier-checkable actions or artifacts.
  • Maximise scalar reward under the package contract.

Evaluation

  • 5 verifier-backed environments.
  • Reported reward range 0–1.
  • Package-specific public and private checks.

Delivery boundary

  • Private object stored in Cloudflare R2.
  • Authenticated entitlement required.
  • Short-lived signed URL per download.
02 What you will work on

Distinct environments, one demanding research contract.

Enough detail to understand the intellectual terrain; generated instances, hidden mechanisms, and solution paths remain inside the private package.

EnvironmentMathematical or technical frontierAdaptive research problem
SpectralSequenceForgeHomological algebra and spectral sequencesRoute page-level evidence into compatible differential, extension, and secondary-operation tests under hidden calibration.
TropicalResultantMazeTropical geometry and Puiseux liftingNavigate subdivisions and continuation branches, deciding when calibration or a chart change is worth its cost.
FreeMomentCipherFree probability and operator algebrasRoute word families, linearizations, and resolvent probes while managing realization reuse and finite-size contamination.
ConformalCrossingLabConformal bootstrap and inverse field theoryChoose an irreversible continuation branch from noisy sector evidence, then resolve mixed-correlator structure.
EndoscopicPacketLabAutomorphic forms and representation theoryCoordinate ramified local evidence, global twists, transfer checks, normalization ambiguity, and missing observations.
03 Why it is interesting

What the supplied evaluation reveals.

A source-informed frozen controller scored 0.8445 across 50 preregistered episodes and passed 40/50, with FreeMomentCipher remaining the clearest frontier at 6/10. More importantly, plausible first observations changed the preferred follow-up in 14/15 cases; static and one-step controls largely failed. The package therefore measures genuinely adaptive investigation, not a fixed query script. Its release reports 95 tests and ten fixture replays.

We publish aggregate behavior and task structure, while withholding generated instances, hidden labels, exact successful probes, private checks, and solution trajectories.

04 Supplied evaluation

Observed evaluation result.

Shown with its provenance and limitations; it is not a performance guarantee.

i
Methodology matters

Reported result from the evaluation artifact supplied with this package.

Evaluated system / policyGPT-5.6 Pro

As identified by the supplied artifact.

Mean reward0.8790

50 reported runs.

Result artifactIncluded

hyperomega_v2_final_score_summary.json

Public result record

Machine-readable provenance and the exact displayed metric are available in results.json.

Open result JSON
05 Private delivery

The package stays off the public website.

The paid ZIP will live in a private R2 bucket. Vercel authorizes the buyer and issues a 2–5 minute object URL; R2 serves the bytes directly.

Included with purchase

  • Exact package version 2.0.0
  • Environment and task contracts
  • Verifier or scoring interface
  • Supplied reference/evaluation artifacts
  • Purchase record and licence v1.1
delivery flow
Authenticated buyer + entitlement check
+ private R2 object + 2–5 minute signed URL
= direct, auditable download

Package SHA-256
3e81c53ab32ba7157ab6f17c7719c9682dadf281967f2852314a53d54385143f
06 Licence v1.1

Commercial use, without exclusivity.

One purchase licenses this identified item to one legal organisation for worldwide, perpetual commercial model training, evaluation, research and development. Redistribution and resale of the package are not permitted.

Read the full licenceYotta Content LTD · business customers only
5Math-7

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