{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GKYWMO62PCR54XZGVIXCK6CWSY","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":"3f636560c90109cb7cf25ec3e97295be434fbbbd943a024b9b3375eb31ab0bd0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-04-20T05:15:08Z","title_canon_sha256":"a55090a33880c864535c28c6d295d67d524ca6e94996a59e2b27abc696594764"},"schema_version":"1.0","source":{"id":"1404.5013","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5013","created_at":"2026-05-18T02:32:30Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5013v1","created_at":"2026-05-18T02:32:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5013","created_at":"2026-05-18T02:32:30Z"},{"alias_kind":"pith_short_12","alias_value":"GKYWMO62PCR5","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GKYWMO62PCR54XZG","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GKYWMO62","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:9cc3fbe32356e080bf8cbadb5089a607a4ef79069c3172c1eeac06c6f432e4b6","target":"graph","created_at":"2026-05-18T02:32:30Z","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":"In 1992, Manoussakis conjectured that a strongly 2-connected digraph $D$ on $n$ vertices is hamiltonian if for every two distinct pairs of independent vertices $x,y$ and $w,z$ we have $d(x)+d(y)+d(w)+d(z)\\geq 4n-3$. In this note we show that $D$ has a Hamilton path, which gives an affirmative evidence supporting this conjecture.","authors_text":"Bo Ning","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-04-20T05:15:08Z","title":"Notes on a conjecture of Manoussakis concerning Hamilton cycles in digraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5013","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":"sha256:29468b7dc9aa6d667bb16dde86e46732fcdc38ca9af591f5c2c4f928d3c2d6e3","target":"record","created_at":"2026-05-18T02:32:30Z","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":"3f636560c90109cb7cf25ec3e97295be434fbbbd943a024b9b3375eb31ab0bd0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-04-20T05:15:08Z","title_canon_sha256":"a55090a33880c864535c28c6d295d67d524ca6e94996a59e2b27abc696594764"},"schema_version":"1.0","source":{"id":"1404.5013","kind":"arxiv","version":1}},"canonical_sha256":"32b1663bda78a3de5f26aa2e257856963d04153d6ee2b1e039d3e47958bf0489","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32b1663bda78a3de5f26aa2e257856963d04153d6ee2b1e039d3e47958bf0489","first_computed_at":"2026-05-18T02:32:30.843284Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:30.843284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FLzBuudy/lPRmGG0IR79TiokmOH05CCgahvEpmJwIgQr/BEx0ir0IprzEbPIV/+lRslJIgcz9qA/nP9mbiCbBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:30.843687Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.5013","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29468b7dc9aa6d667bb16dde86e46732fcdc38ca9af591f5c2c4f928d3c2d6e3","sha256:9cc3fbe32356e080bf8cbadb5089a607a4ef79069c3172c1eeac06c6f432e4b6"],"state_sha256":"51afdc0b4beae46f4e84c2af33064d40f753eaa82c55010cbb6835c2376746de"}