{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JSB5QXHJXV7Q6KIMVBTWIIYIIH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"aa964c8c38ee9a10a3428d2c33885bea344fb9dc95fda5df4972fc0f48ed2ca1","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-03-09T21:48:59Z","title_canon_sha256":"7180ace4d191fd28f5e45e02134180882571458942741f0192342a9d243b19af"},"schema_version":"1.0","source":{"id":"1203.2192","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.2192","created_at":"2026-05-18T04:00:26Z"},{"alias_kind":"arxiv_version","alias_value":"1203.2192v1","created_at":"2026-05-18T04:00:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2192","created_at":"2026-05-18T04:00:26Z"},{"alias_kind":"pith_short_12","alias_value":"JSB5QXHJXV7Q","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JSB5QXHJXV7Q6KIM","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JSB5QXHJ","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:bf9708ab131e39e100feb93f4c44582b44eaee4a29c821d37792ee83f20a965c","target":"graph","created_at":"2026-05-18T04:00:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Jorgensen conjectured that every 6-connected graph with no K_6 minor has a vertex whose deletion makes the graph planar. We prove the conjecture for all sufficiently large graphs.","authors_text":"Ken-ichi Kawarabayashi, Paul Wollan, Robin Thomas, Serguei Norine","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-03-09T21:48:59Z","title":"K_6 minors in large 6-connected graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2192","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:724cff73f33968949f478f24703e202158b7c88159407f711326bbebb6b61b73","target":"record","created_at":"2026-05-18T04:00:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"aa964c8c38ee9a10a3428d2c33885bea344fb9dc95fda5df4972fc0f48ed2ca1","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-03-09T21:48:59Z","title_canon_sha256":"7180ace4d191fd28f5e45e02134180882571458942741f0192342a9d243b19af"},"schema_version":"1.0","source":{"id":"1203.2192","kind":"arxiv","version":1}},"canonical_sha256":"4c83d85ce9bd7f0f290ca86764230841cb6eb115118870475b3e263894f8c6f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c83d85ce9bd7f0f290ca86764230841cb6eb115118870475b3e263894f8c6f3","first_computed_at":"2026-05-18T04:00:26.169022Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:26.169022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m5kFJOdmvbdXckUIEd11Z8B/g30ah6A7cGqMQMLyWxzxe1gqDmGIyMDeYMJqSf+xmZCaa836GJIpy3v0ppIwCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:26.169610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.2192","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:724cff73f33968949f478f24703e202158b7c88159407f711326bbebb6b61b73","sha256:bf9708ab131e39e100feb93f4c44582b44eaee4a29c821d37792ee83f20a965c"],"state_sha256":"40357d73e4dd09dd82ff693d8a612d094a5cb90072ad973bff46edbc17ead6d7"}