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Mathematics5Math-3

5Math-3

A five-environment mathematics suite about scientific identification under uncertainty. Agents choose costly, noisy experiments across generative models, symmetry, topology, neural geometry, and conformal uncertainty, then transfer the inferred mechanism to sealed conditions—a compact test of mathematical reasoning, planning, and judgment.

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

A real, versioned RL environment.

A five-environment mathematics suite about scientific identification under uncertainty. Agents choose costly, noisy experiments across generative models, symmetry, topology, neural geometry, and conformal uncertainty, then transfer the inferred mechanism to sealed conditions—a compact test of mathematical reasoning, planning, and judgment.

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
DiffusionLensAnalytic probability and score-model geometryChoose probes across locations and noise scales to distinguish generative mechanisms, then predict behavior under sealed queries.
SymmetryHunterFinite-group representations and equivarianceAudit subtle symmetry breaking using transformations and compressed sensors whose individual nullspaces can hide the defect.
PersistentAtlasPersistent homology and multiparameter filtrationsBalance coarse invariants against localized slice measurements before transferring inferred topology to unseen directions.
TropicalCircuitReLU arrangements and tropical geometryReverse-engineer piecewise-linear structure from line probes complicated by cancellation, sign loss, and overlapping boundaries.
ConformalSleuthFinite-sample conformal predictionDiagnose latent scoring effects through thresholds, coverage, set sizes, and compressed membership behavior on selected panels.
03 Why it is interesting

What the supplied evaluation reveals.

A GPT-5.6 Pro tool-assisted, truth-blind exact-Bayes policy earned 0.8784 mean reward but only 3/5 strict passes on untouched expert episodes. It achieved 0.9415 held-out prediction, yet misses on SymmetryHunter and PersistentAtlas show that prediction alone cannot substitute for identification, calibration, truth mass, experiment design, and stopping. The package reports 61/61 automated tests.

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 reward0.8784

5 reported runs.

Result artifactIncluded

5Math-3-results.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 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
952a492e9d26c3a6aff02ff3dfc791d934433aa6354c200cf721443c80bfb5d7
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-3

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