Mathematics5Math-Hard-4

5Math-Hard-4

Five omega-tier mathematics environments with 512 seed-shuffled candidates and only two noisy measurements. Across Stokes phenomena, decoder pseudocodewords, singular learning theory, higher associativity, and flag geometry, agents must escape exact seed equivalence, reason through nonlinear interactions, and submit calibrated posteriors that transfer to unseen mathematical functionals.

MathematicsAdaptive reasoningRLVR
Version1.0.0
Environments5
RewardScalar · 0–1
DeliveryPrivate ZIP
01 Task contract

A real, versioned RL environment.

Five omega-tier mathematics environments with 512 seed-shuffled candidates and only two noisy measurements. Across Stokes phenomena, decoder pseudocodewords, singular learning theory, higher associativity, and flag geometry, agents must escape exact seed equivalence, reason through nonlinear interactions, and submit calibrated posteriors that transfer to unseen mathematical functionals.

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
StokesLabyrinthIrregular equations and resurgenceChoose continuation measurements with complementary sector and vector nullspaces beyond the shared formal normal form.
DecoderPseudocodewordIterative decoding and trapping-set geometryProbe soft beliefs, syndrome landscapes, and Jacobians when all candidates decode clean and single-bit cases identically.
RLCTScannerSingular learning and resolution geometryInfer singular risk structure through finite-temperature evidence, moments, sectors, and susceptibility beyond identical local derivatives.
AssociahedronAuditOperads and higher associativityCompare parenthesizations and coherence networks away from a shared unit and tangent algebra.
FlagManifoldXRayGrassmannians, flags, Plücker geometryUse externally marked orientation probes when dimensions, projector spectra, and intrinsic nesting all agree.
03 Why it is interesting

What the supplied evaluation reveals.

An isolated tool-using copy policy ran 60 fresh expert episodes and averaged 0.7047, with only 3 strict passes despite 0.8706 experiment design and 0.8532 held-out prediction. DecoderPseudocodeword was especially hard, while FlagManifoldXRay showed stronger identification. The result demonstrates that two good probes do not automatically produce a calibrated 512-way posterior. This is a tool policy, not a separately hosted model rollout.

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 reward0.7047

60 reported runs.

Result artifactIncluded

independent_copy_agent_report.md

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 1.0.0
  • 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
3f84ba8779a6430d7b4f70139d301774f6d9d099a8dc35fac5813373b6c3d03f
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-Hard-4

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