{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Y26GFIARIW7YV444PMNULNWWEH","short_pith_number":"pith:Y26GFIAR","canonical_record":{"source":{"id":"1104.5009","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2011-04-26T19:58:46Z","cross_cats_sorted":[],"title_canon_sha256":"40128da374e16f723b535fd5160da459ad6b6dd3a16e0a6dfcbe274d0c958ce8","abstract_canon_sha256":"d33e1e12f891a956e21f5ee6ec60a84a2239ec8940c4297d4050eb8e5dbbd7fb"},"schema_version":"1.0"},"canonical_sha256":"c6bc62a01145bf8af39c7b1b45b6d621d90c58942ab10fcd3b8296fea05da386","source":{"kind":"arxiv","id":"1104.5009","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5009","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5009v2","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5009","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"Y26GFIARIW7Y","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y26GFIARIW7YV444","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y26GFIAR","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Y26GFIARIW7YV444PMNULNWWEH","target":"record","payload":{"canonical_record":{"source":{"id":"1104.5009","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2011-04-26T19:58:46Z","cross_cats_sorted":[],"title_canon_sha256":"40128da374e16f723b535fd5160da459ad6b6dd3a16e0a6dfcbe274d0c958ce8","abstract_canon_sha256":"d33e1e12f891a956e21f5ee6ec60a84a2239ec8940c4297d4050eb8e5dbbd7fb"},"schema_version":"1.0"},"canonical_sha256":"c6bc62a01145bf8af39c7b1b45b6d621d90c58942ab10fcd3b8296fea05da386","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:00.873931Z","signature_b64":"9SmCC1UpArc3nlvOYge14kG7lKbmmXY+977ijY5/xCnsJh/aFOYBFUc4FUmXBvRc9pkFWyPTNW9UY5fSwZ/MDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6bc62a01145bf8af39c7b1b45b6d621d90c58942ab10fcd3b8296fea05da386","last_reissued_at":"2026-05-18T02:22:00.873213Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:00.873213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.5009","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TuDn9GOTgncnsk/NGDvbSX/7MYYU6SZHyIuLhNq924IbGiyz8Ow3W7JQa5nmc6LgkpAJ3RdbDE+QoY1ohAlMDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T06:34:37.596559Z"},"content_sha256":"179830006d44a07eb1cabc743d58f006f194fd0adef93c6b0559551556909e1e","schema_version":"1.0","event_id":"sha256:179830006d44a07eb1cabc743d58f006f194fd0adef93c6b0559551556909e1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Y26GFIARIW7YV444PMNULNWWEH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"3-List Colouring Permutation Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DM","authors_text":"Jessica Enright, Lorna Stewart","submitted_at":"2011-04-26T19:58:46Z","abstract_excerpt":"3-list colouring is an NP-complete decision problem. It is hard even on planar bipartite graphs. We give a polynomial-time algorithm for solving 3-list colouring on permutation graphs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5009","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"73cPMJ75z9hLFagdxGymO7esRecFg9hz+Y+Tv7Ze+L3N0yjj0M6ERog11waBtuiSOKPn0x7qhdU9kwfEiFSmAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T06:34:37.596906Z"},"content_sha256":"98ea77063b280c4357f985726ec417e803b9e0d552701623eeeec3ea8e37d47a","schema_version":"1.0","event_id":"sha256:98ea77063b280c4357f985726ec417e803b9e0d552701623eeeec3ea8e37d47a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y26GFIARIW7YV444PMNULNWWEH/bundle.json","state_url":"https://pith.science/pith/Y26GFIARIW7YV444PMNULNWWEH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y26GFIARIW7YV444PMNULNWWEH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T06:34:37Z","links":{"resolver":"https://pith.science/pith/Y26GFIARIW7YV444PMNULNWWEH","bundle":"https://pith.science/pith/Y26GFIARIW7YV444PMNULNWWEH/bundle.json","state":"https://pith.science/pith/Y26GFIARIW7YV444PMNULNWWEH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y26GFIARIW7YV444PMNULNWWEH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Y26GFIARIW7YV444PMNULNWWEH","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":"d33e1e12f891a956e21f5ee6ec60a84a2239ec8940c4297d4050eb8e5dbbd7fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2011-04-26T19:58:46Z","title_canon_sha256":"40128da374e16f723b535fd5160da459ad6b6dd3a16e0a6dfcbe274d0c958ce8"},"schema_version":"1.0","source":{"id":"1104.5009","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5009","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5009v2","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5009","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"Y26GFIARIW7Y","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y26GFIARIW7YV444","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y26GFIAR","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:98ea77063b280c4357f985726ec417e803b9e0d552701623eeeec3ea8e37d47a","target":"graph","created_at":"2026-05-18T02:22:00Z","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":"3-list colouring is an NP-complete decision problem. It is hard even on planar bipartite graphs. We give a polynomial-time algorithm for solving 3-list colouring on permutation graphs.","authors_text":"Jessica Enright, Lorna Stewart","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2011-04-26T19:58:46Z","title":"3-List Colouring Permutation Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5009","kind":"arxiv","version":2},"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":"sha256:179830006d44a07eb1cabc743d58f006f194fd0adef93c6b0559551556909e1e","target":"record","created_at":"2026-05-18T02:22:00Z","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":"d33e1e12f891a956e21f5ee6ec60a84a2239ec8940c4297d4050eb8e5dbbd7fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2011-04-26T19:58:46Z","title_canon_sha256":"40128da374e16f723b535fd5160da459ad6b6dd3a16e0a6dfcbe274d0c958ce8"},"schema_version":"1.0","source":{"id":"1104.5009","kind":"arxiv","version":2}},"canonical_sha256":"c6bc62a01145bf8af39c7b1b45b6d621d90c58942ab10fcd3b8296fea05da386","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6bc62a01145bf8af39c7b1b45b6d621d90c58942ab10fcd3b8296fea05da386","first_computed_at":"2026-05-18T02:22:00.873213Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:00.873213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9SmCC1UpArc3nlvOYge14kG7lKbmmXY+977ijY5/xCnsJh/aFOYBFUc4FUmXBvRc9pkFWyPTNW9UY5fSwZ/MDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:00.873931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.5009","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:179830006d44a07eb1cabc743d58f006f194fd0adef93c6b0559551556909e1e","sha256:98ea77063b280c4357f985726ec417e803b9e0d552701623eeeec3ea8e37d47a"],"state_sha256":"59763009ec01fda79188fa93835cd1f1ccb968392d74804efd44771189e1d29a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9S0XU/mWhuogCeXc3SWP//OzJ971JvXF5VbaTv3cnIdMSQIKF/tqHOsKJ4RQHM8nzW2idf04CU96YRVzEVUDAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T06:34:37.599002Z","bundle_sha256":"40106d157e134002034bf03061628e01c8863db08a7b88cbc673c4726978cc51"}}