{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SAWODJOAJP4G224OODZLBVTYTC","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":"ee6c9598549df2d03307672b9cf3f8831f9c6a11d446f3fc9aa256d34abde8f9","cross_cats_sorted":["cs.CE","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-02-01T21:59:40Z","title_canon_sha256":"b5271c9a93fa4ae9673497a629f04d6cab213ad35eaca1bc22a92d978593a423"},"schema_version":"1.0","source":{"id":"1102.0309","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0309","created_at":"2026-05-18T04:18:22Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0309v3","created_at":"2026-05-18T04:18:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0309","created_at":"2026-05-18T04:18:22Z"},{"alias_kind":"pith_short_12","alias_value":"SAWODJOAJP4G","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SAWODJOAJP4G224O","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SAWODJOA","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:ed367b6af0ba009ffb5985ed8ad41de97350e1afd9d21bcb75129b4d7c293d23","target":"graph","created_at":"2026-05-18T04:18:22Z","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":"A classical result, fundamental to evolutionary biology, states that an edge-weighted tree $T$ with leaf set $X$, positive edge weights, and no vertices of degree 2 can be uniquely reconstructed from the set of leaf-to-leaf distances between any two elements of $X$. In biology, $X$ corresponds to a set of taxa (e.g. extant species), the tree $T$ describes their phylogenetic relationships, the edges correspond to earlier species evolving for a time until splitting in two or more species by some speciation/bifurcation event, and their length corresponds to the genetic change accumulating over th","authors_text":"A.W.M. Dress, K.T. Huber, M. Steel","cross_cats":["cs.CE","cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-02-01T21:59:40Z","title":"`Lassoing' a phylogenetic tree I: Basic properties, shellings, and covers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0309","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:d1292086848c55983505fff8a7a0ca32a2ab1eca6bb825a7992f5cadc656380e","target":"record","created_at":"2026-05-18T04:18:22Z","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":"ee6c9598549df2d03307672b9cf3f8831f9c6a11d446f3fc9aa256d34abde8f9","cross_cats_sorted":["cs.CE","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-02-01T21:59:40Z","title_canon_sha256":"b5271c9a93fa4ae9673497a629f04d6cab213ad35eaca1bc22a92d978593a423"},"schema_version":"1.0","source":{"id":"1102.0309","kind":"arxiv","version":3}},"canonical_sha256":"902ce1a5c04bf86d6b8e70f2b0d67898b69014502c19387c613db40a90154219","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"902ce1a5c04bf86d6b8e70f2b0d67898b69014502c19387c613db40a90154219","first_computed_at":"2026-05-18T04:18:22.081560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:22.081560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DqVLBKxH/AFcAPwAxdsFatuSiuTraUJ23IDWT/62wHIp7eMs52OM9TieK7+QCgNaQt8115tFqRXKKk0+9TtDAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:22.082170Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.0309","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1292086848c55983505fff8a7a0ca32a2ab1eca6bb825a7992f5cadc656380e","sha256:ed367b6af0ba009ffb5985ed8ad41de97350e1afd9d21bcb75129b4d7c293d23"],"state_sha256":"d8b22b7f5c6666dc698a2c01dbcd52768b35d5b8939fedae3e201667d8722380"}