Mathematics5Math-Hard-11

5Math-Hard-11

Name: 5Math-Hard-11
SKU: 5Math-Hard-11
Price: 1000.00 USD
Availability: PreOrder

Five long-horizon mathematics environments with noisy apparatus, hidden nuisance variables, and irreversible decisions. Across cluster wall crossing, p-adic Hodge theory, rough paths, KAM resonance, and spin-glass landscapes, agents route observations through distinct state machines, allocate scarce resources, and choose justified identification, bounded-set, or abstention decisions with sealed transfer.

MathematicsAdaptive reasoningRLVR

Version1.0.0

Environments5

RewardScalar · 0–1

DeliveryPrivate ZIP

01 Task contract

A real, versioned RL environment.

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.

Environment	Mathematical or technical frontier	Adaptive research problem
ClusterWallCrossingLab	Cluster algebras and scattering diagrams	Commit to a seed and route mutations, walls, theta bases, stability, and monodromy evidence adaptively.
pAdicHodgeLab	p-adic Hodge and Galois representations	Choose a period-ring route and coordinate Frobenius, filtration, monodromy, refinement, and local conditions.
RoughPathSignatureLab	Rough paths and controlled equations	Select a lift and noncommutative words, then reconcile area, bracket, renormalization, and response evidence.
KAMResonanceLab	Hamiltonian resonance and small divisors	Commit to a frame and adapt normal-form, residue, splitting, control, and transport probes.
SpinGlassLandscapeLab	Replica symmetry breaking and TAP landscapes	Choose replica coupling and combine overlap, cavity, Hessian, chaos, signal, and annealing evidence.

03 Why it is interesting

What the supplied evaluation reveals.

A session-mediated GPT-5.6 Pro sweep averaged 0.4923 with no passes across ten hard/expert cases. Its mean path score was 0.8386 but terminal-decision score only 0.2765, making the suite a focused test of moving from competent experimentation to justified conclusions. Every packaged control also passed 0/10, while privileged replay certificates establish reachability. The release passed 132/132 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.

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 reward0.4923

10 reported runs.

Result artifactIncluded

gpt56_pro_blind_report.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
291f6e57b3e8bd54a1ef5508e73f1942c7247d383934ba557997125efcbf4acb

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-11

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5Math-Hard-11

A real, versioned RL environment.

Agent objective

Evaluation

Delivery boundary

Distinct environments, one demanding research contract.

What the supplied evaluation reveals.

Observed evaluation result.

Public result record

The package stays off the public website.

Included with purchase

Commercial use, without exclusivity.

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Ready to add this environment?