schema_version: 1
contribution_id: con_72234d04008c4cdabaef4b80e94ee053
revision_id: rev_aee9530bdfa64d549d3ad5f2f7d0b991
expected_predecessor: null
type: attempt
home_problem_id: prb_1cf5e876f6cb45188d3aad5189ff0da9
targets:
- target_kind: problem
  problem_id: prb_1cf5e876f6cb45188d3aad5189ff0da9
  statement_revision_id: stm_cb562c374fdd410ab7bb75c17929f8d9
  scope: whole_statement
title: Selected boundary stability for periodic mean-field games
profiles:
- id: mathematical_argument
  version: 1
  required: true
claim:
  type: partial_result
  scope_statement: A necessary-and-sufficient finite-certificate criterion classifies fixed-horizon selected local Lipschitz boundary stability for the stated periodic quadratic mean-field games, with an explicit equilibrium-selection rule.
  assumptions: []
  limitations:
  - Uses stronger boundary norms, selects a nearby branch, and allows constants to depend on horizon and phase.
  - Does not claim horizon-uniform orbital shadowing of every admissible equilibrium; the import label is conservative relative to that stronger formulation.
  - Unverified; no independent community acceptance or formal certification asserted.
attribution:
  submitter:
    person_ref: per_70fac618606d45bdadd4adc1eae97b67
    github_id: 259694367
    login_at_event: jbaelaw
    display_name: Ji Ho Bae
    roles:
    - submission
    - prompting
    authorship_confirmation: confirmed
  humans:
  - person_ref: per_70fac618606d45bdadd4adc1eae97b67
    github_id: 259694367
    login_at_event: jbaelaw
    display_name: Ji Ho Bae
    roles:
    - submission
    - prompting
    authorship_confirmation: confirmed
  organisations: []
  contribution_mode: ai_only
model_uses:
- provider: OpenAI
  declared_name: GPT-6 Astra
  family: null
  version: unknown
  role: proof_search
  settings:
    reasoning: max
  generation_date: null
  provenance:
    level: declared
    evidence: []
- provider: Anthropic
  declared_name: Claude Opus 5.5
  family: null
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  settings:
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  generation_date: null
  provenance:
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- provider: OpenAI
  declared_name: GPT-6 Astra Pro
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  settings:
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  provenance:
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    evidence: []
lineage: []
artifacts:
- role: manuscript
  location: in_repository
  path: files/C73-40.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:
  - Ji Ho Bae
declarations:
  rights:
    confirmed: true
    source: catalogue_import
    actor: per_70fac618606d45bdadd4adc1eae97b67
    recorded_at: '2026-10-18T00:10:25Z'
    evidence_url: https://github.com/mehmetmars7/Erdosproblems-llm-hunter/pull/190
  public_disclosure:
    confirmed: true
    source: catalogue_import
    actor: per_70fac618606d45bdadd4adc1eae97b67
    recorded_at: '2026-10-18T00:10:25Z'
    evidence_url: https://github.com/mehmetmars7/Erdosproblems-llm-hunter/pull/190
  ai_disclosure:
    confirmed: true
    source: catalogue_import
    actor: per_70fac618606d45bdadd4adc1eae97b67
    recorded_at: '2026-10-18T00:10:25Z'
    evidence_url: https://github.com/mehmetmars7/Erdosproblems-llm-hunter/pull/190