{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4VVWCYRMTM2RJ3CNNFK3DZLG55","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":"6454ae48332ba6bc845e456e27a7daf1cb26bec9ff0a804988fba2658c1064ff","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2014-11-26T19:20:08Z","title_canon_sha256":"f3393dae81206f2940b1cfdab2136eab66fb6da9488bcbba8f21d87e063ab8a9"},"schema_version":"1.0","source":{"id":"1411.7338","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7338","created_at":"2026-05-18T01:34:35Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7338v2","created_at":"2026-05-18T01:34:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7338","created_at":"2026-05-18T01:34:35Z"},{"alias_kind":"pith_short_12","alias_value":"4VVWCYRMTM2R","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4VVWCYRMTM2RJ3CN","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4VVWCYRM","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:3f04ef38175b21eacbe3b4e9ef06ebff2f8b37abb3bb8fd3a144eee2dbb60763","target":"graph","created_at":"2026-05-18T01:34:35Z","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 prove polynomial upper and lower bounds on the expected size of the maximum agreement subtree of two random binary phylogenetic trees under both the uniform distribution and Yule-Harding distribution. This positively answers a question posed in earlier work. Determining tight upper and lower bounds remains an open problem.","authors_text":"Colby Long, Daniel Irving Bernstein, Katherine St. John, Lam Si Tung Ho, Mike Steel, Seth Sullivant","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2014-11-26T19:20:08Z","title":"Bounds on the Expected Size of the Maximum Agreement Subtree"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7338","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:ffee6df2ed775cff1ee65536e8e9494d53b6482545d41dd322bba7c2600a8357","target":"record","created_at":"2026-05-18T01:34:35Z","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":"6454ae48332ba6bc845e456e27a7daf1cb26bec9ff0a804988fba2658c1064ff","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2014-11-26T19:20:08Z","title_canon_sha256":"f3393dae81206f2940b1cfdab2136eab66fb6da9488bcbba8f21d87e063ab8a9"},"schema_version":"1.0","source":{"id":"1411.7338","kind":"arxiv","version":2}},"canonical_sha256":"e56b61622c9b3514ec4d6955b1e566ef42105adc87ad2721adb71d1a600727fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e56b61622c9b3514ec4d6955b1e566ef42105adc87ad2721adb71d1a600727fb","first_computed_at":"2026-05-18T01:34:35.375438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:35.375438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FalbFJwdGmQ0NUFenGP5/1in7uUA7lH7Z7bUr5U7stiUFgfRxEpdlBDY1feEMrnkmQTl7sh/dg5Uy9NaTq1bDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:35.376048Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.7338","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffee6df2ed775cff1ee65536e8e9494d53b6482545d41dd322bba7c2600a8357","sha256:3f04ef38175b21eacbe3b4e9ef06ebff2f8b37abb3bb8fd3a144eee2dbb60763"],"state_sha256":"9b3e74a865e85d4e798afa591cab62c07ace698eee4a5b4293a0a11a34e54a16"}