{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IKFIJFHSHBQTCF7ZBH72U7ANL2","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":"5f6c6f6d1cad5ffb0581ed48191e9901ff9f3b689146c3c03acb13c03cf8793f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-05-03T07:50:28Z","title_canon_sha256":"a3b8c05dac1701ebe05ef7e2a7b1f58c31b42908cefcfe7615d67e46197ea966"},"schema_version":"1.0","source":{"id":"1605.00773","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00773","created_at":"2026-05-18T00:39:40Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00773v2","created_at":"2026-05-18T00:39:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00773","created_at":"2026-05-18T00:39:40Z"},{"alias_kind":"pith_short_12","alias_value":"IKFIJFHSHBQT","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IKFIJFHSHBQTCF7Z","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IKFIJFHS","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:927ad949e59ddb6645880f5b273d2dbf163598d5aba177b106d9a03157cc54eb","target":"graph","created_at":"2026-05-18T00:39:40Z","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":"We show that every 3-uniform hypergraph with minimum vertex degree at least $0.8\\binom{n-1}{2}$ contains a tight Hamiltonian cycle.","authors_text":"Andrzej Ruci\\'nski, Endre Szemer\\'edi, Mathias Schacht, Vojt\\v{e}ch R\\\"odl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-05-03T07:50:28Z","title":"On the Hamiltonicity of triple systems with high minimum degree"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00773","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:d781842c129e41bc8a6c355414f6a53633d6d7dacfb31eb4c56ea7425cbee653","target":"record","created_at":"2026-05-18T00:39:40Z","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":"5f6c6f6d1cad5ffb0581ed48191e9901ff9f3b689146c3c03acb13c03cf8793f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-05-03T07:50:28Z","title_canon_sha256":"a3b8c05dac1701ebe05ef7e2a7b1f58c31b42908cefcfe7615d67e46197ea966"},"schema_version":"1.0","source":{"id":"1605.00773","kind":"arxiv","version":2}},"canonical_sha256":"428a8494f238613117f909ffaa7c0d5eaa34b5a13218147c5e2fc4baa8881021","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"428a8494f238613117f909ffaa7c0d5eaa34b5a13218147c5e2fc4baa8881021","first_computed_at":"2026-05-18T00:39:40.550718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:40.550718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T7Q1Oe93kwqOe7m769kE78GgSYDJTEzqtIDC5bYOTB6itgy/72vHyvVDXtsIryUkCJmKbeNSXdGA5L3K2AFiCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:40.551354Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.00773","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d781842c129e41bc8a6c355414f6a53633d6d7dacfb31eb4c56ea7425cbee653","sha256:927ad949e59ddb6645880f5b273d2dbf163598d5aba177b106d9a03157cc54eb"],"state_sha256":"73b1a505675a04ad7d412ebea3c55f0ae20ec2d6f6c82906e952d65f4cd2d528"}