schema_version: 1
contribution_id: con_a1958f6ffaf74c46870c06ce07acc666
revision_id: rev_923ecf846e1e4c97bb530dc18ec23065
expected_predecessor: null
type: attempt
home_problem_id: prb_b8fd80d827ea4ad186a62c524b01a848
targets:
- target_kind: problem
  problem_id: prb_b8fd80d827ea4ad186a62c524b01a848
  statement_revision_id: stm_aa9b128d16b048d8bf67649e07efe701
  scope: whole_statement
title: A division-free partition formula for elementary symmetric functions of a sum of matrices
profiles:
- id: mathematical_argument
  version: 1
  required: true
claim:
  type: full_solution
  scope_statement: A finite division-free decorated-partition formula gives elementary symmetric functions of a sum of arbitrary noncommuting matrices over every field, with integral specialization to commutative rings and all recorded boundary cases.
  assumptions: []
  limitations:
  - The source paper's separate positivity conjecture is outside the recorded target.
  - No new mathematical priority is claimed; same-model audits and exact checks are not independent human or formal verification.
  - Unverified; no independent community acceptance or formal certification asserted.
  completion_estimate:
    percent: 100
    justification: Solved (LLM claim), 100% of the entire recorded catalogue formula target, using established Amitsur and Newton-Girard mathematics.
attribution:
  submitter:
    person_ref: per_9622404b40f646199e2bd7ecc053dec4
    github_id: 59171403
    login_at_event: VictorLiwentao
    display_name: Wentao Li
    roles:
    - submission
    - prompting
    authorship_confirmation: confirmed
  humans:
  - person_ref: per_9622404b40f646199e2bd7ecc053dec4
    github_id: 59171403
    login_at_event: VictorLiwentao
    display_name: Wentao Li
    roles:
    - submission
    - prompting
    authorship_confirmation: confirmed
  organisations: []
  contribution_mode: ai_only
model_uses:
- provider: OpenAI
  declared_name: GPT 6.1 Sol
  family: null
  version: unknown
  role: generated_draft
  settings:
    reasoning: max
  generation_date:
    value: '2026-10-12'
    precision: day
  provenance:
    level: declared
    evidence: []
lineage: []
artifacts:
- role: manuscript
  location: in_repository
  path: files/3027.tex
  media_type: application/x-tex
- role: supplementary
  location: in_repository
  path: files/sources.md
  media_type: text/markdown
rights:
  licence: CC-BY-4.0
  redistribution: permitted
  holders:
  - Wentao Li
declarations:
  rights:
    confirmed: true
    source: catalogue_import
    actor: per_9622404b40f646199e2bd7ecc053dec4
    recorded_at: '2026-10-18T00:10:25Z'
    evidence_url: https://github.com/mehmetmars7/Erdosproblems-llm-hunter/pull/192
  public_disclosure:
    confirmed: true
    source: catalogue_import
    actor: per_9622404b40f646199e2bd7ecc053dec4
    recorded_at: '2026-10-18T00:10:25Z'
    evidence_url: https://github.com/mehmetmars7/Erdosproblems-llm-hunter/pull/192
  ai_disclosure:
    confirmed: true
    source: catalogue_import
    actor: per_9622404b40f646199e2bd7ecc053dec4
    recorded_at: '2026-10-18T00:10:25Z'
    evidence_url: https://github.com/mehmetmars7/Erdosproblems-llm-hunter/pull/192