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      "model_label": "Antigravity (Multi-Model Ensemble: Gemini 3.1 Pro, Gemini 3 Flash, Claude 4.6 Sonnet/Opus)",
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    {
      "result_id": "r2_8b0f991d81f73534923f76a4b5ccffd852bad880a1ac2cb38588a8870e91a4e1",
      "problem_id": "annals_unit_conjecture",
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      "submitter": "lukerj00",
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      "acceptance_event_id": "issue-0000001693",
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    {
      "result_id": "r2_9118b93be221961eec4b68952823bf4c960a7da64a8b75cef8630a1b7bf48f31",
      "problem_id": "annals_reverse_minkowski",
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      "submitter": "lukerj00",
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    {
      "result_id": "r2_9917bf5afa48de8f730247943dd4bc351dd559f35a510452e6426d07bb98d78b",
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      "acceptance_event_id": "issue-0000001693",
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    {
      "result_id": "r2_d4483bed3b9d93fd57cc5b05cae49f28d57b3cf9ccf6e6104b42d6575006e52c",
      "problem_id": "commProb_closed",
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      "model_label": "Tau (caj.al)",
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      "acceptance_event_id": "issue-0000001693",
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    },
    {
      "result_id": "r2_ebbae7555aa3cb3125a9dd2a8c8bf39509c5a9686c344451d1a70000d2c07f71",
      "problem_id": "annals_supremum_of_selector_processes",
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      "accepted_at": "2026-09-07T11:51:22Z",
      "acceptance_event_id": "issue-0000001693",
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    {
      "result_id": "r2_400ee78cd1c3e9a73dcf5fa28a8a990cc341be154739206f52b328fb463c12a6",
      "problem_id": "chen_theorem",
      "statement_revision": 1,
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      "model_label": "OpenAI Codex (GPT-6 + GPT-5.6 Sol)",
      "submitter": "lixiang90",
      "accepted_at": "2026-09-07T16:30:35Z",
      "acceptance_event_id": "issue-0000001696",
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    },
    {
      "result_id": "r2_988fee187ebe791506b055a5692f74d79cd9144c9609e1c67a92b5b89739b1bf",
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      "model_label": "GPT-5.6 Sol",
      "submitter": "n-yamaguchi-0729",
      "accepted_at": "2026-09-08T05:52:52.002Z",
      "acceptance_event_id": "01a07f93-8f22-7092-bf42-cdce4479606a",
      "first_solve": true
    },
    {
      "result_id": "r2_2fe042fc941c05a564ef6bd7f4b158b08c3669b7a9e452ce454e18da387ac15f",
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      "model_label": "GPT-5.6 Sol",
      "submitter": "n-yamaguchi-0729",
      "accepted_at": "2026-09-08T05:53:41.002Z",
      "acceptance_event_id": "01a07f94-4e8a-7fcf-8669-9154bb713ab5",
      "first_solve": true
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    {
      "result_id": "r2_564338d99a24d68a80837277960732f749ae4ce07816c7df3217839d5c8a0387",
      "problem_id": "annals_unit_conjecture",
      "statement_revision": 1,
      "canonical_model_id": "forge",
      "model_label": "Forge",
      "submitter": "xiaoyangliu-sjtu",
      "accepted_at": "2026-09-11T03:09:03.002Z",
      "acceptance_event_id": "01a08e70-a89a-7202-acfd-b7c39e48765b",
      "first_solve": false
    }
  ],
  "standings": [
    {
      "canonical_model_id": "axiom-prover-axiom-math",
      "model_label": "Axiom Prover (Axiom Math)",
      "counts": {
        "unique": 3,
        "first": 3,
        "total": 41
      },
      "problem_ids": [
        "annals_algebraic_integers",
        "annals_duffin_schaeffer_conjecture",
        "annals_enumerating_number_fields",
        "annals_equiangular_lines_fixed_angle",
        "annals_flat_littlewood_poly",
        "annals_fractal_uncertainty",
        "annals_fractional_expectation_thresholds",
        "annals_hessian_estimates",
        "annals_improved_bounds_sunflower_lemma",
        "annals_inscribed_rectangles",
        "annals_large_value_estimates",
        "annals_linear_subspaces",
        "annals_local_global_apollonian_circle_packings",
        "annals_lorentzian_polynomials",
        "annals_on_approximation_of_reals",
        "annals_optimal_moebius",
        "annals_periodic_tiling_conjecture",
        "annals_pseudorandom_grassmann",
        "annals_rademacher_enflo_type",
        "annals_random_bernoulli_matrices",
        "annals_reverse_minkowski",
        "annals_supremum_of_selector_processes",
        "annals_ulam",
        "annals_unit_conjecture",
        "annals_van_der_waerden_conjecture",
        "annals_viscosity_solutions",
        "annals_zagier_hoffman_positive_char",
        "dimitrov",
        "duffin_schaeffer",
        "erdos_unit_distance_conjecture_false",
        "green_tao",
        "hadwiger",
        "hopf_rinow",
        "neukirch_uchida",
        "schmidt_subspace",
        "smooth_knot_has_quadrisecant",
        "sphere_theorem_topological",
        "szemeredi",
        "uniformization",
        "vinogradov_mean_value",
        "zhang_bounded_prime_gaps"
      ],
      "submitters": [
        "Vilin97"
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      "canonical_model_id": "gpt-5-6-sol",
      "model_label": "gpt-5.6-Sol",
      "counts": {
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        "total": 4
      },
      "problem_ids": [
        "green_tao",
        "martinet_totally_real_towers",
        "shafarevich_relation_rank_bound",
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      ],
      "submitters": [
        "Vilin97",
        "n-yamaguchi-0729"
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        "total": 37
      },
      "problem_ids": [
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        "annals_fractional_expectation_thresholds",
        "annals_hessian_estimates",
        "annals_improved_bounds_sunflower_lemma",
        "annals_large_value_estimates",
        "annals_linear_subspaces",
        "annals_local_global_apollonian_circle_packings",
        "annals_lorentzian_polynomials",
        "annals_on_approximation_of_reals",
        "annals_optimal_moebius",
        "annals_periodic_tiling_conjecture",
        "annals_pseudorandom_grassmann",
        "annals_rademacher_enflo_type",
        "annals_random_bernoulli_matrices",
        "annals_reverse_minkowski",
        "annals_supremum_of_selector_processes",
        "annals_ulam",
        "annals_unit_conjecture",
        "annals_van_der_waerden_conjecture",
        "annals_viscosity_solutions",
        "annals_zagier_hoffman_positive_char",
        "duffin_schaeffer",
        "e8_irrep_tensor_square_decomp",
        "erdos_unit_distance_conjecture_false",
        "green_tao",
        "hadwiger",
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        "ZhengyangZhang06",
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      "model_label": "Humanize2 flame chase: GPT-5.6-sol + Claude Opus 5",
      "counts": {
        "unique": 0,
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        "total": 7
      },
      "problem_ids": [
        "annals_algebraic_integers",
        "annals_duffin_schaeffer_conjecture",
        "annals_hessian_estimates",
        "annals_linear_subspaces",
        "annals_random_bernoulli_matrices",
        "annals_reverse_minkowski",
        "annals_van_der_waerden_conjecture"
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        "ZhengyangZhang06"
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      "canonical_model_id": "humanize-rlcr-gpt-5-6-sol-max-worker-reviewer",
      "model_label": "Humanize RLCR: GPT-5.6-sol (max) worker + reviewer",
      "counts": {
        "unique": 0,
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        "total": 2
      },
      "problem_ids": [
        "annals_viscosity_solutions",
        "schmidt_subspace"
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    {
      "canonical_model_id": "claude-fable-5",
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        "total": 1
      },
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        "uniformization"
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      "canonical_model_id": "codex-with-human-in-the-loop",
      "model_label": "Codex (with human in the loop)",
      "counts": {
        "unique": 0,
        "first": 1,
        "total": 1
      },
      "problem_ids": [
        "erdos_unit_distance_conjecture_false"
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        "plby"
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    },
    {
      "canonical_model_id": "fable-5-and-gpt-5-6",
      "model_label": "Fable 5 and GPT-5.6",
      "counts": {
        "unique": 0,
        "first": 1,
        "total": 1
      },
      "problem_ids": [
        "neukirch_uchida"
      ],
      "submitters": [
        "adamtopaz"
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    },
    {
      "canonical_model_id": "github-com-mlgraham-claude-fable-5",
      "model_label": "github.com/mlgraham (Claude Fable 5)",
      "counts": {
        "unique": 0,
        "first": 1,
        "total": 1
      },
      "problem_ids": [
        "dimitrov"
      ],
      "submitters": [
        "mlgraham"
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    },
    {
      "canonical_model_id": "openai-codex-gpt-5-6-sol",
      "model_label": "OpenAI Codex (GPT-5.6 Sol)",
      "counts": {
        "unique": 0,
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        "total": 1
      },
      "problem_ids": [
        "chen_theorem"
      ],
      "submitters": [
        "Cond-t"
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    {
      "canonical_model_id": "opus-5",
      "model_label": "Opus-5",
      "counts": {
        "unique": 0,
        "first": 1,
        "total": 1
      },
      "problem_ids": [
        "hadwiger"
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      "submitters": [
        "Vilin97"
      ]
    },
    {
      "canonical_model_id": "seed-prover-bytedance",
      "model_label": "Seed Prover (ByteDance)",
      "counts": {
        "unique": 0,
        "first": 1,
        "total": 1
      },
      "problem_ids": [
        "hopf_rinow"
      ],
      "submitters": [
        "hanwenzhu"
      ]
    },
    {
      "canonical_model_id": "tau-caj-al",
      "model_label": "Tau (caj.al)",
      "counts": {
        "unique": 0,
        "first": 0,
        "total": 29
      },
      "problem_ids": [
        "annals_algebraic_integers",
        "annals_duffin_schaeffer_conjecture",
        "annals_enumerating_number_fields",
        "annals_equiangular_lines_fixed_angle",
        "annals_flat_littlewood_poly",
        "annals_fractal_uncertainty",
        "annals_fractional_expectation_thresholds",
        "annals_hessian_estimates",
        "annals_improved_bounds_sunflower_lemma",
        "annals_linear_subspaces",
        "annals_local_global_apollonian_circle_packings",
        "annals_lorentzian_polynomials",
        "annals_on_approximation_of_reals",
        "annals_optimal_moebius",
        "annals_periodic_tiling_conjecture",
        "annals_pseudorandom_grassmann",
        "annals_rademacher_enflo_type",
        "annals_random_bernoulli_matrices",
        "annals_reverse_minkowski",
        "annals_supremum_of_selector_processes",
        "annals_unit_conjecture",
        "annals_zagier_hoffman_positive_char",
        "dimitrov",
        "duffin_schaeffer",
        "green_tao",
        "hadwiger",
        "hopf_rinow",
        "szemeredi",
        "uniformization"
      ],
      "submitters": [
        "lukerj00"
      ]
    },
    {
      "canonical_model_id": "aristotle-harmonic",
      "model_label": "Aristotle (Harmonic)",
      "counts": {
        "unique": 0,
        "first": 0,
        "total": 12
      },
      "problem_ids": [
        "annals_equiangular_lines_fixed_angle",
        "annals_fractional_expectation_thresholds",
        "annals_improved_bounds_sunflower_lemma",
        "annals_local_global_apollonian_circle_packings",
        "annals_on_approximation_of_reals",
        "annals_optimal_moebius",
        "annals_periodic_tiling_conjecture",
        "annals_rademacher_enflo_type",
        "annals_supremum_of_selector_processes",
        "annals_unit_conjecture",
        "duffin_schaeffer",
        "vinogradov_mean_value"
      ],
      "submitters": [
        "parabamoghv"
      ]
    },
    {
      "canonical_model_id": "brilliant-chatgpt-5-6-sol",
      "model_label": "BRILLiant + ChatGPT 5.6 Sol",
      "counts": {
        "unique": 0,
        "first": 0,
        "total": 1
      },
      "problem_ids": [
        "annals_unit_conjecture"
      ],
      "submitters": [
        "LexBrill"
      ]
    },
    {
      "canonical_model_id": "deepscientist-gpt-5-6",
      "model_label": "DeepScientist + GPT-5.6",
      "counts": {
        "unique": 0,
        "first": 0,
        "total": 1
      },
      "problem_ids": [
        "annals_unit_conjecture"
      ],
      "submitters": [
        "LikC1606"
      ]
    },
    {
      "canonical_model_id": "forge",
      "model_label": "Forge",
      "counts": {
        "unique": 0,
        "first": 0,
        "total": 1
      },
      "problem_ids": [
        "annals_unit_conjecture"
      ],
      "submitters": [
        "xiaoyangliu-sjtu"
      ]
    },
    {
      "canonical_model_id": "github-com-mlgraham-various-models",
      "model_label": "github.com/mlgraham (various models)",
      "counts": {
        "unique": 0,
        "first": 0,
        "total": 1
      },
      "problem_ids": [
        "dimitrov"
      ],
      "submitters": [
        "mlgraham"
      ]
    },
    {
      "canonical_model_id": "openai-codex-gpt-6-gpt-5-6-sol",
      "model_label": "OpenAI Codex (GPT-6 + GPT-5.6 Sol)",
      "counts": {
        "unique": 0,
        "first": 0,
        "total": 1
      },
      "problem_ids": [
        "chen_theorem"
      ],
      "submitters": [
        "lixiang90"
      ]
    }
  ],
  "standings_default_sort": "unique",
  "data_limitations": [
    "Results absent from modern State result materialization were adapted from the immutable base-results store. Historical replay or disposition evidence is applied where State supplies it; otherwise replay is explicitly unavailable, and release remains unavailable.",
    "Some results have no reviewed State model alias; their normalized declared model labels are used as fallback credit identities."
  ]
}