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Mathematics5Math-1

5Math-1

A five-environment mathematics suite in which agents uncover hidden mechanisms through budgeted experiments across optimization dynamics, kernel geometry, attention operators, Boolean Fourier structure, and entropic transport. Noisy compressed observations and sealed transfer checks reward informative measurement choices and calibrated uncertainty rather than static answer recall.

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

A real, versioned RL environment.

A five-environment mathematics suite in which agents uncover hidden mechanisms through budgeted experiments across optimization dynamics, kernel geometry, attention operators, Boolean Fourier structure, and entropic transport. Noisy compressed observations and sealed transfer checks reward informative measurement choices and calibrated uncertainty rather than static answer recall.

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
OptimizerFingerprintConvex quadratics, dynamical systems, preconditioningDesign complementary trajectory measurements that reveal hidden training dynamics without wasting the experiment budget on redundant regimes.
KernelCipherRKHS geometry, kernels, Gaussian-process uncertaintySelect kernel functionals that separate subtly different latent geometries when simple pairwise measurements leave explanations aliased.
AttentionMicroscopeSoftmax operators and harmonic analysisVary content, position, temperature, and compressed spectral readouts to infer a hidden positional mechanism without seeing the full attention map.
BooleanSpectrometerBoolean Fourier analysis and active learningConstruct restricted sampling experiments that expose hidden high-order structure through noisy low-order observables.
TransportDecoderEntropic optimal transport and Sinkhorn geometryChoose marginals, regularization regimes, and coupling statistics that distinguish latent transport costs concealed by aggregate measurements.
03 Why it is interesting

What the supplied evaluation reveals.

This suite separates adaptive mathematical reasoning from answer recall. In the supplied 40-episode expert evaluation, a tool-assisted exact-likelihood policy reached 0.8418 mean reward but only 22/40 strict passes; performance ranged from 8/8 passes on AttentionMicroscope to 2/8 on KernelCipher. The spread shows that its five domains exercise materially different experiment-design skills. The release passed 60/60 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

The report identifies this as a source-informed or executable-policy result, not a clean black-box benchmark.

Evaluated system / policyGPT-5.6 Pro-assisted evaluation

As identified by the supplied artifact.

Mean reward0.8401

40 reported runs.

Result artifactIncluded

5Math-1-run.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
39bb5cbcc3dd6059d96a871090adc5b6441bb8ff240218957bfc4d0a633611f6
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-1

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