{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:4OROFB33DACH4PAGNPLCGZRAZO","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":"731640e0d42f5ef926b6f371fb27983a6684544f42c904503b0d5e1b55507331","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CO","submitted_at":"2024-06-05T11:57:02Z","title_canon_sha256":"d8fd4c5edc264c56c2fae9e89b94e7267561cfe779d678e2a1b2574dcc9920b5"},"schema_version":"1.0","source":{"id":"2406.03166","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.03166","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"arxiv_version","alias_value":"2406.03166v3","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.03166","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"pith_short_12","alias_value":"4OROFB33DACH","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"pith_short_16","alias_value":"4OROFB33DACH4PAG","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"pith_short_8","alias_value":"4OROFB33","created_at":"2026-07-05T12:05:08Z"}],"graph_snapshots":[{"event_id":"sha256:cfb3779114623822a7edb3ffcfe29fc37ac13aa6c05a96745f3d3419de4e30a2","target":"graph","created_at":"2026-07-05T12:05:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2406.03166/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In new progress on conjectures of Stein, and Addario-Berry, Havet, Linhares Sales, Reed and Thomass\\'e, we prove that every oriented graph with all in- and out-degrees greater than 5k/8 contains an alternating path of length k. This improves on previous results of Klimo\\v{s}ov\\'a and Stein, and Chen, Hou and Zhou.","authors_text":"Jozef Skokan, Mykhaylo Tyomkyn","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CO","submitted_at":"2024-06-05T11:57:02Z","title":"Alternating paths in oriented graphs with large semidegree"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.03166","kind":"arxiv","version":3},"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:ec619307043e02594d8bea385b2aa48c5ed1ade78c651c2dda2dbe4ace1b9ab7","target":"record","created_at":"2026-07-05T12:05:08Z","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":"731640e0d42f5ef926b6f371fb27983a6684544f42c904503b0d5e1b55507331","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CO","submitted_at":"2024-06-05T11:57:02Z","title_canon_sha256":"d8fd4c5edc264c56c2fae9e89b94e7267561cfe779d678e2a1b2574dcc9920b5"},"schema_version":"1.0","source":{"id":"2406.03166","kind":"arxiv","version":3}},"canonical_sha256":"e3a2e2877b18047e3c066bd6236620cb80278d2d7c0260adad6669cafd65e3f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3a2e2877b18047e3c066bd6236620cb80278d2d7c0260adad6669cafd65e3f1","first_computed_at":"2026-07-05T12:05:08.906665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:05:08.906665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vNIj0pv/LRw+i+Hk6Q7bQnwThKRJ3+uTN+HMKpAd7F24Nou38lJWivlVkPDLX1l7fJOZdaUs0NCWqVAAHZKnBg==","signature_status":"signed_v1","signed_at":"2026-07-05T12:05:08.907178Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.03166","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec619307043e02594d8bea385b2aa48c5ed1ade78c651c2dda2dbe4ace1b9ab7","sha256:cfb3779114623822a7edb3ffcfe29fc37ac13aa6c05a96745f3d3419de4e30a2"],"state_sha256":"1968d127254124e21bcb7c2a22cf7f67ec1efb8bdcd6b92c9411d2bf00543a5c"}