{"data":{"event":{"id":"c5a1dbeb-e751-45ba-a85e-28219b08303e","slug":"chatgpt-56-stable-forking-counterexample","title":"Freitag and Mutchnik, using ChatGPT 5.6, counterexample the stable forking conjecture","short_summary":"On 31 August 2026 James Freitag and Scott Mutchnik posted arXiv:2609.00436, a counterexample to the 1996 Hart–Kim–Pillay stable forking conjecture, found using ChatGPT 5.6.","full_description":"The stable forking conjecture asked whether forking independence in simple theories is controlled by stable formulas. Freitag and Mutchnik report a counterexample found with ChatGPT 5.6. The preprint is unformalized and not yet refereed. Model identity is the ChatGPT 5.6 product line, not GPT-6 Astra and not a specified Sol/Terra/Luna SKU.","ledger_type":"benefit","primary_domain_id":"23d935bb-b857-4b2b-9471-d568bb848a66","event_status":"provisional","event_date":"2026-08-31T00:00:00.000Z","discovery_date":"2026-08-31T00:00:00.000Z","first_published_date":"2026-08-31T00:00:00.000Z","last_reviewed_date":"2026-08-31T00:00:00.000Z","geographic_scope":"International","affected_population":"Model theory research community","base_impact_tier":3,"base_score":"10.00","attribution_multiplier":"0.6000","evidence_multiplier":"0.3500","realization_multiplier":"0.4500","durability_multiplier":"0.7000","current_event_score":"0.661500","confidence_level":"medium","score_explanation":"A counterexample to a 1996 model-theory conjecture is major (tier 3) if it holds. Humans are the authors; ChatGPT 5.6 found the example (0.60). Evidence is a fresh arXiv preprint (0.35). Realization is a public construction, not community acceptance (0.45).","methodology_version_id":"d7881163-fb23-4e71-8625-bac1a8662c0f","original_methodology_version_id":"d7881163-fb23-4e71-8625-bac1a8662c0f","published_at":"2026-08-31T00:00:00.000Z","created_at":"2026-09-13T22:56:05.431Z","updated_at":"2026-09-13T22:56:05.431Z","flags":[],"domain_name":"Mathematics","domain_slug":"mathematics","methodology_version":"0.1"},"contributions":[{"id":"3f97cf1a-cbf6-4360-80bd-79c151b099b7","event_id":"c5a1dbeb-e751-45ba-a85e-28219b08303e","model_id":"8443c83f-8fb8-4da1-b718-e65fcf8031ea","role_description":"Used as ChatGPT 5.6 to find the stable-forking counterexample.","attribution_multiplier":"0.6000","credit_share":"1.0000","contribution_score":"0.661500","attribution_rationale":"The abstract says the counterexample was found using ChatGPT 5.6; it does not name Sol, Terra, or Luna, so the record stays at the 5.6 generation.","attribution_confidence":"medium","first_used_date":"2026-08-31T00:00:00.000Z","model_version_if_known":null,"review_status":"approved","created_at":"2026-09-13T22:56:05.431Z","model_slug":"gpt-5-6","model_name":"GPT-5.6","identity_class":"unknown","is_internal":false,"family_name":"GPT-5.6","family_slug":"openai-gpt-5-6","organization_name":"OpenAI","organization_slug":"openai"}],"sources":[{"id":"e0f12188-29c0-4b8f-8679-2d077766583c","event_id":"c5a1dbeb-e751-45ba-a85e-28219b08303e","url":"https://arxiv.org/abs/2609.00436","canonical_url":"https://arxiv.org/abs/2609.00436","source_type":"preprint","publisher":"arXiv","author":null,"publication_date":"2026-08-31T00:00:00.000Z","retrieved_at":"2026-09-13T22:56:05.431Z","title":"A counterexample to the stable forking conjecture","excerpt":null,"content_hash":null,"source_reliability_class":"medium","is_primary_source":true,"is_independent":true,"is_peer_reviewed":false,"archived_url":null,"created_at":"2026-09-13T22:56:05.431Z"}],"claims":[{"id":"40ca8c74-2e9b-46ae-b798-9f0de4dd3f74","event_id":"c5a1dbeb-e751-45ba-a85e-28219b08303e","claim_text":"Freitag and Mutchnik posted a counterexample to the Hart–Kim–Pillay stable forking conjecture, found using ChatGPT 5.6.","claim_type":"outcome","claim_status":"supported","confidence_score":null,"created_at":"2026-09-13T22:56:05.431Z","updated_at":"2026-09-13T22:56:05.431Z"}],"revisions":[{"id":"512c723c-68ff-42a0-9447-4e628b57694a","event_id":"c5a1dbeb-e751-45ba-a85e-28219b08303e","model_id":null,"previous_score":"0.000000","new_score":"0.661500","previous_factors":{},"new_factors":{"evidence":0.35,"base_score":10,"durability":0.7,"attribution":0.6,"realization":0.45},"change_reason":"Imported events under methodology 0.1.","trigger_type":"editorial_import","trigger_source_ids":null,"reviewer_id":null,"review_status":"published","created_at":"2026-09-13T22:56:05.431Z"}],"secondary":[]},"methodology_version":"0.1"}