| # STEM: eight domains, 40 tasks, 55 recorded Argon attempts |
|
|
| This package combines the latest five-task samples for Astronomy, Biology, |
| Chemistry, Earth science, Engineering, Mathematics, Medicine, and Physics. |
| All task folders share one `tasks/` directory; all corresponding attempt folders |
| share one `trajectory/` directory. There are no domain-level wrapper directories, |
| nested archives, duplicated `runs/` trees, or original-ID mapping tables. |
|
|
| **40 independent tasks · 55 recorded attempts · 19 passes · 34.55% pooled attempt pass rate.** |
|
|
| The retained task and trajectory files are preserved byte-for-byte from the eight |
| normalized five-task samples. Task IDs are unique, and each domain uses IDs numbered 1–5. |
| This combines the later five-task Chemistry sample, not the earlier six-task |
| Chemistry set whose IDs overlap. Shared grading utilities, the inventory under `docs/`, |
| documentation, and checksums have been consolidated for this package. |
|
|
| ## Domain inventory and observed outcomes |
|
|
| | Domain | Task IDs | Tasks | Recorded attempts | Passes | Attempt pass rate | |
| | --- | --- | ---: | ---: | ---: | ---: | |
| | Astronomy | `ASTRO1`–`ASTRO5` | 5 | 5 | 2 | 40.00% | |
| | Biology | `BIO1`–`BIO5` | 5 | 5 | 2 | 40.00% | |
| | Chemistry | `CHEM1`–`CHEM5` | 5 | 10 | 2 | 20.00% | |
| | Earth science | `EARTH1`–`EARTH5` | 5 | 5 | 2 | 40.00% | |
| | Engineering | `ENG1`–`ENG5` | 5 | 5 | 2 | 40.00% | |
| | Mathematics | `MATH1`–`MATH5` | 5 | 15 | 5 | 33.33% | |
| | Medicine | `MED1`–`MED5` | 5 | 5 | 2 | 40.00% | |
| | Physics | `PHYS1`–`PHYS5` | 5 | 5 | 2 | 40.00% | |
| | **Total** | **Eight domains** | **40** | **55** | **19** | **34.55%** | |
|
|
| These were deliberately selected samples. The pass rates describe the included |
| recorded attempts, not general model performance, independent estimates of task |
| difficulty, or prospective success probabilities. A pass requires the complete |
| answer to satisfy its included verifier; fractional field reward is not a pass. |
|
|
| The pooled rate weights every recorded attempt equally. It combines different |
| capture modes and model labels and is not a common pass@1 or pass@k estimate. |
| Separately, **19 of 40 tasks (47.5%)** were solved at least once; that is a different |
| measure from the requested 20%–40% per-attempt sample rate. Each domain's attempt |
| pass rate remains within that range. |
|
|
| ## Directory layout |
|
|
| ```text |
| STEM-final.zip |
| ├── tasks/ |
| │ ├── ASTRO1/ ... ASTRO5/ |
| │ ├── BIO1/ ... BIO5/ |
| │ ├── CHEM1/ ... CHEM5/ |
| │ ├── EARTH1/ ... EARTH5/ |
| │ ├── ENG1/ ... ENG5/ |
| │ ├── MATH1/ ... MATH5/ |
| │ ├── MED1/ ... MED5/ |
| │ └── PHYS1/ ... PHYS5/ |
| ├── trajectory/ |
| │ ├── ASTRO1/ ... ASTRO5/ |
| │ ├── BIO1/ ... BIO5/ |
| │ ├── CHEM1/ ... CHEM5/ |
| │ ├── EARTH1/ ... EARTH5/ |
| │ ├── ENG1/ ... ENG5/ |
| │ ├── MATH1/ ... MATH5/ |
| │ ├── MED1/ ... MED5/ |
| │ └── PHYS1/ ... PHYS5/ |
| ├── environment/ |
| │ ├── __init__.py |
| │ ├── grade.py |
| │ └── stem_env.py |
| └── docs/ |
| ├── README.md |
| ├── tasks.json |
| └── SHA256SUMS.json |
| ``` |
|
|
| The ZIP opens directly to these folders; it does not contain an extra `STEM/` |
| wrapper. Each `tasks/<TASK_ID>/` includes `instruction.md`, `instance.json`, |
| `task.json`, `verify.py`, and `solution/solution.json`. Optional Mathematics |
| reference solvers are retained where present. Per-task READMEs have been removed; |
| `docs/README.md` is the single authoritative package guide. |
|
|
| Each `trajectory/<TASK_ID>/attempt_<N>/` contains: |
|
|
| - `trajectory.json`: the available captured model/tool record in its original normalized format. |
| - `submitted_action.json`: the complete answer actually submitted for grading. |
| - `result.json`: the recorded pass/fail outcome, reward, and available diagnostics. |
|
|
| Chemistry has `attempt_1` and `attempt_2`; Mathematics has `attempt_1` through |
| `attempt_3`; all other domains have `attempt_1`. Attempt numbering is local to a |
| task. `docs/tasks.json` is the unified machine-readable inventory and contains each |
| task's domain, paths, attempt count, and recorded outcomes. In that manifest, |
| `path` and `trajectory_path` are relative to the package root. Within each |
| `task.json`, instruction, instance, verifier, and reference-solution paths are |
| relative to the task folder; `trajectory_path`, where present, is root-relative. |
| Explicit file links inside a trajectory are relative to its attempt folder. |
|
|
| ## Grade answers offline |
|
|
| Use **Python 3.10 or newer**. All 40 numerical verifiers and the shared grading |
| utilities use only the Python standard library. No network connection, private |
| image, external dataset, or separately downloaded reference answer is required. |
| The `environment/` folder contains utilities, not a container image. |
|
|
| From the extracted package root: |
|
|
| ```bash |
| # Grade all 40 bundled reference answers. |
| python environment/grade.py --all |
| |
| # Regrade all 55 saved submissions and compare their recorded outcomes. |
| python environment/grade.py --check-trajectories |
| |
| # Check every packaged file against the combined SHA-256 manifest. |
| python environment/grade.py --check-integrity |
| |
| # Restrict bulk grading or trajectory checking to one domain. |
| python environment/grade.py --all --domain BIO |
| python environment/grade.py --check-trajectories --domain MATH |
| |
| # Grade a new answer or one saved attempt. |
| python environment/grade.py --task CHEM1 --candidate candidate.json |
| python environment/grade.py --task MATH1 --attempt 2 |
| |
| # Run an individual task verifier directly, with an explicit candidate path. |
| python tasks/ASTRO1/verify.py tasks/ASTRO1/solution/solution.json |
| ``` |
|
|
| `--domain` accepts `ASTRO`, `BIO`, `CHEM`, `EARTH`, `ENG`, `MATH`, `MED`, and |
| `PHYS`. Bulk checks use up to eight workers. The CLI returns JSON; bulk modes |
| include a summary and per-entry results. For individual grading, exit code 0 |
| means pass and 1 means fail. For `--check-trajectories`, exit code 0 means every |
| saved result matches, **including correctly reproduced failures**. Invalid CLI |
| arguments return exit code 2. With `--task` and no candidate or attempt, the shared |
| grader checks that task's reference solution. |
|
|
| Read each task's full instruction and exact schema before submitting. Depending |
| on the original normalized task, the schema appears as `submission_schema` or |
| `action_schema` in `instance.json`. Keep required keys, units, numeric types, and |
| any required `problem_id` exactly as specified. Mathematics answers can include |
| arrays, integers, or rational strings; do not assume every task accepts only |
| scalar floats. The per-candidate size limit is recorded in `docs/tasks.json`. |
|
|
| ## One-step environment |
|
|
| ```python |
| from environment import STEMEnv |
| |
| # Fix a task; alternatively, use STEMEnv(domain="BIO") or STEMEnv(). |
| env = STEMEnv(task_id="BIO1") |
| observation, info = env.reset(seed=0) |
| |
| # Supply your answer as a JSON-compatible dictionary, JSON string, or bytes. |
| # observation, reward, terminated, truncated, info = env.step(answer) |
| ``` |
|
|
| One episode accepts one submitted answer. Call `reset()` before another episode. |
| The environment is a convenience interface, **not a security sandbox**. For a |
| blind assessment, expose only problem instructions and instances to the solving |
| agent. Keep reference solutions, verifiers, saved trajectories, and result data |
| in evaluator-side storage. Verifier feedback may reveal reference values. |
|
|
| ## Models, capture fidelity, and limits |
|
|
| Astronomy records identify the model as `gemini-4-argon-high`; the other domains |
| identify it as `gemini-4-argon`. These labels come from the supplied records, not |
| newly verified provider identities. No new model runs were generated. |
|
|
| Chemistry preserves one single-turn, no-tool attempt and one agentic Python-tool |
| attempt per task. Mathematics preserves three recorded tool-use attempts per |
| task. The remaining domains preserve one captured tool-use attempt per task. |
| The `trajectory.json` schemas differ between source samples and are intentionally |
| preserved rather than forcing heterogeneous capture records into a lossy format. |
| The shared directory layout, complete submitted answers, and task-level inventory |
| provide consistent access across all eight domains. |
|
|
| **Medical capture limitation:** the supplied medical records cap or truncate |
| some tool-code and console-output snippets. These are not fully executable |
| transcripts. Their complete saved submitted answers remain independently |
| gradeable. The capture metadata identifies these limitations; missing code and |
| conversation content have not been reconstructed. |
|
|
| More generally, captured reasoning summaries, tool traces, stdout, or stderr may |
| be excerpts rather than complete API conversations. Available content, order, |
| recorded usage, and timing are retained as provided. Regrading checks final |
| answers; it does not rerun Argon, replay historical tool execution, or certify |
| that the captured code is sufficient to regenerate an answer. |
|
|
| Optional Mathematics `solution/solver.py` files are reference implementations, |
| not required by the grading commands. The MATH2 solver imports SciPy. Historical |
| tool snippets may also depend on optional numerical libraries; those libraries |
| are not required to grade the packaged reference or submitted JSON answers. |
|
|
| ## Selected task catalog |
|
|
| Outcomes below follow `attempt_1`, `attempt_2`, and `attempt_3` where available. |
|
|
| | Task | Area | Problem | Recorded outcomes | |
| | --- | --- | --- | --- | |
| | `ASTRO1` | Cosmology / recombination and CMB damping | Coupled Peebles Recombination with $s+p$-Wave Dirac Dark-Matter Annihilation & Silk Damping | Fail | |
| | `ASTRO2` | Strong-field gravity / black-hole superradiance | Kerr Superradiant $2p$ Scalar Cloud with Self-Gravity Shift, Boson Number & Annihilation GW Signal | Pass | |
| | `ASTRO3` | Compact stars / relativistic stellar structure | MIT Bag Model Strange Quark Star TOV Structure, ISM Dispersion & Bare-Surface Thermal Flux | Fail | |
| | `ASTRO4` | Interstellar medium / gravitational stability | Bonnor–Ebert Critical Stability Limit via Emden–Chandrasekhar ODE Turning Point & Submm Flux | Fail | |
| | `ASTRO5` | Exoplanets / orbital irradiation and radiative transfer | Eccentric Exoplanet Orbital Insolation: Flux-Averaged vs. Time-Averaged Temperatures & Periastron Flux | Pass | |
| | `BIO1` | Enzyme kinetics and biochemical networks | Theorell–Chance enzyme kinetics and coupled carrier-buffered thermodynamics | Fail | |
| | `BIO2` | Molecular biophysics and nonequilibrium thermodynamics | Single-molecule work fluctuations with Donnan partitioning | Pass | |
| | `BIO3` | Cellular electrophysiology and ion transport | Eyring ion-channel permeation with thermal and electrolyte linkage | Fail | |
| | `BIO4` | Population genetics and evolutionary dynamics | Underdominant-inversion traveling waves with viscoelastic and homeostatic coupling | Fail | |
| | `BIO5` | Ecological biogeochemistry and nutrient cycling | Soil nitrification–denitrification with crowding and mass-transfer coupling | Pass | |
| | `CHEM1` | Electrochemistry / impedance spectroscopy | Electrochemical impedance with coupled conformational equilibrium | Pass, Fail | |
| | `CHEM2` | Polymer / soft-matter thermodynamics | Polyelectrolyte hydrogel swelling and nonlinear mechanics | Fail, Pass | |
| | `CHEM3` | Theoretical / quantum chemistry | Radical-cation Hückel molecular-orbital analysis | Fail, Fail | |
| | `CHEM4` | Organometallic catalysis / reaction kinetics | Wilkinson-catalyzed hydrogenation microkinetics | Fail, Fail | |
| | `CHEM5` | Thermodynamics / reaction equilibrium | Non-ideal ammonia synthesis using a cubic equation of state | Fail, Fail | |
| | `EARTH1` | Earthquake physics / rate-and-state fault dynamics | Inverse Dieterich–Ruina Nonlinear Phase-Plane Excursion, Hopf Bifurcation, and Rebound Peak | Pass | |
| | `EARTH2` | Geothermal convection / porous-media stability | Inverse Variable-Conductivity Anisotropic Porous Thermal Convection Sturm–Liouville BVP | Fail | |
| | `EARTH3` | Glaciology / Antarctic ice-shelf hydrofracture | Antarctic Ice-Shelf Firn-Aquifer Meltwater Percolation & Hydrofracture BVP | Fail | |
| | `EARTH4` | Chemical oceanography / marine iron cycling | Hydrothermal-to-Abyssal Dissolved Iron Organic-Siderophore Stabilization BVP | Fail | |
| | `EARTH5` | Atmospheric chemistry / polar ozone depletion | Polar Stratospheric Cloud (PSC) Type Ia NAT Denitrification & ClONO2-HCl Activation BVP | Pass | |
| | `ENG1` | Magnetohydrodynamics and liquid-metal cooling | Hartmann-channel ohmic dissipation and microwave-transducer heat flow | Fail | |
| | `ENG2` | Geotechnical mechanics and optical sensing | Strip-foundation stress and causal optical-sensor pulse dispersion | Pass | |
| | `ENG3` | Information theory and signal processing | Gaussian source reverse water-filling and coupled quantum ground-state energy | Pass | |
| | `ENG4` | Control systems and electrochemical transduction | Control-loop stability and coupled electrostatic–osmotic free energy | Fail | |
| | `ENG5` | Chemical process engineering and electro-optics | Fixed-bed adsorption breakthrough and Pockels-waveguide pulse propagation | Fail | |
| | `MATH1` | Algebraic geometry / arithmetic curves | Frobenius Slopes and Hasse-Witt Invariants of a Genus 2 Curve over $\mathbb{F}_7$ | Fail, Pass, Fail | |
| | `MATH2` | Partial differential equations / nonlinear elasticity | Radial Equilibria and Non-Homogeneous Annular Deformations for Polyconvex Hyperelasticity | Fail, Pass, Fail | |
| | `MATH3` | Probability / random matrix theory | Normalized Expected Sum of Singular Values of Gaussian Matrices | Fail, Pass, Fail | |
| | `MATH4` | Analytic number theory / modular forms | Analytic Invariants of the Normalized Ramanujan Delta L-Function | Pass, Fail, Fail | |
| | `MATH5` | Topology / knot invariants | Determinant, Signature, and Cyclotomic Tristram-Levine Invariants of Pretzel Knots | Pass, Fail, Fail | |
| | `MED1` | Cardiovascular hemodynamics | Womersley blood flow coupled to a three-element Windkessel | Fail | |
| | `MED2` | Renal physiology | Glomerular ultrafiltration with tubuloglomerular feedback and protein transport | Pass | |
| | `MED3` | Cancer genetics and Bayesian risk modeling | Two-hit retinoblastoma, mosaic selection, and sequencing-biased genetic risk | Pass | |
| | `MED4` | Medical imaging physics | SPGR MRI T1 mapping with field scaling, protein binding, and T2* decay | Fail | |
| | `MED5` | Clinical-trial biostatistics | Non-inferiority trials with constancy drift and crossover correction | Fail | |
| | `PHYS1` | Condensed-matter physics | Quantum oscillations and polariton wavepacket dispersion | Pass | |
| | `PHYS2` | Quantum optics and open quantum systems | Quantum-jump photon statistics and driven-probe heat transport | Pass | |
| | `PHYS3` | Kinetic plasma physics | Vlasov–Landau plasma damping and driven-probe heat transport | Fail | |
| | `PHYS4` | Fluid mechanics and hydrodynamic stability | Görtler boundary-layer instability and dispersive waveguide pulses | Fail | |
| | `PHYS5` | General relativity and spin dynamics | Relativistic gyroscope precession and dispersive waveguide pulses | Fail | |
| |
| ## Validation and integrity |
| |
| All **40 reference answers pass** the unchanged packaged verifiers. All **55 saved |
| Argon outcomes reproduce**, including pass/fail, reward, and applicable recorded |
| field diagnostics. The **370 retained task and trajectory files** are byte-identical to |
| the eight normalized input samples; merging has not changed numerical answers, |
| reference targets, tolerances, or historical content. Task IDs are unique and |
| metadata file links are checked against the merged directory layout. |
| |
| `docs/SHA256SUMS.json` lists every delivered file except itself. Its paths are |
| relative to the package root, not to `docs/`. It is regenerated for this final |
| package, not copied from any individual domain archive. |
| Runtime Python bytecode caches are ignored by the integrity checker. No private |
| images, duplicate run trees, nested ZIPs, or temporary build reports are shipped. |
| |
| Passing a bundled verifier establishes compatibility with that benchmark's |
| reference answers and tolerances. It does not constitute independent scientific |
| peer review of the problem statements or reference calculations. The Medicine |
| entries are benchmark problems, not guidance for patient care. |
| |
