{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:MVMARSVFEQMIZQ2ALXZKD4J72U","short_pith_number":"pith:MVMARSVF","schema_version":"1.0","canonical_sha256":"655808caa524188cc3405df2a1f13fd517b2b7dc9790ab2b587283fa5d2003fd","source":{"kind":"arxiv","id":"1810.06831","version":2},"attestation_state":"computed","paper":{"title":"Lattice consensus: A partial order on phylogenetic trees that induces an associatively stable consensus method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"q-bio.PE","authors_text":"Andrew Francis, Michael Hendriksen","submitted_at":"2018-10-16T06:26:40Z","abstract_excerpt":"There is a long tradition of the axiomatic study of consensus methods in phylogenetics that satisfy certain desirable properties. One recently-introduced property is associative stability, which is desirable because it confers a computational advantage, in that the consensus method only needs to be computed \"pairwise\". In this paper, we introduce a phylogenetic consensus method that satisfies this property, in addition to being \"regular\". The method is based on the introduction of a partial order on the set of rooted phylogenetic trees, itself based on the notion of a hierarchy-preserving map "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1810.06831","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-10-16T06:26:40Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"eb2f791a699a2471d001d5f1147deb546c86ae428b16419dbb46973ad7944ef1","abstract_canon_sha256":"4160c65d67bafb98a1cc1261e16211c31cdaac3b129ef2bdedf484ebaa3c84a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:48.870719Z","signature_b64":"3F8N5X8r8pwoOvJarT/Y3WXKeWpBT7F09sIumwynTJ3rmI3P1X+/1nlhQZNDiSOoMhblUlQqK799/86VFqBWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"655808caa524188cc3405df2a1f13fd517b2b7dc9790ab2b587283fa5d2003fd","last_reissued_at":"2026-05-18T00:02:48.870004Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:48.870004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lattice consensus: A partial order on phylogenetic trees that induces an associatively stable consensus method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"q-bio.PE","authors_text":"Andrew Francis, Michael Hendriksen","submitted_at":"2018-10-16T06:26:40Z","abstract_excerpt":"There is a long tradition of the axiomatic study of consensus methods in phylogenetics that satisfy certain desirable properties. One recently-introduced property is associative stability, which is desirable because it confers a computational advantage, in that the consensus method only needs to be computed \"pairwise\". In this paper, we introduce a phylogenetic consensus method that satisfies this property, in addition to being \"regular\". The method is based on the introduction of a partial order on the set of rooted phylogenetic trees, itself based on the notion of a hierarchy-preserving map "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06831","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1810.06831","created_at":"2026-05-18T00:02:48.870109+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.06831v2","created_at":"2026-05-18T00:02:48.870109+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06831","created_at":"2026-05-18T00:02:48.870109+00:00"},{"alias_kind":"pith_short_12","alias_value":"MVMARSVFEQMI","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"MVMARSVFEQMIZQ2A","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"MVMARSVF","created_at":"2026-05-18T12:32:40.477152+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MVMARSVFEQMIZQ2ALXZKD4J72U","json":"https://pith.science/pith/MVMARSVFEQMIZQ2ALXZKD4J72U.json","graph_json":"https://pith.science/api/pith-number/MVMARSVFEQMIZQ2ALXZKD4J72U/graph.json","events_json":"https://pith.science/api/pith-number/MVMARSVFEQMIZQ2ALXZKD4J72U/events.json","paper":"https://pith.science/paper/MVMARSVF"},"agent_actions":{"view_html":"https://pith.science/pith/MVMARSVFEQMIZQ2ALXZKD4J72U","download_json":"https://pith.science/pith/MVMARSVFEQMIZQ2ALXZKD4J72U.json","view_paper":"https://pith.science/paper/MVMARSVF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.06831&json=true","fetch_graph":"https://pith.science/api/pith-number/MVMARSVFEQMIZQ2ALXZKD4J72U/graph.json","fetch_events":"https://pith.science/api/pith-number/MVMARSVFEQMIZQ2ALXZKD4J72U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MVMARSVFEQMIZQ2ALXZKD4J72U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MVMARSVFEQMIZQ2ALXZKD4J72U/action/storage_attestation","attest_author":"https://pith.science/pith/MVMARSVFEQMIZQ2ALXZKD4J72U/action/author_attestation","sign_citation":"https://pith.science/pith/MVMARSVFEQMIZQ2ALXZKD4J72U/action/citation_signature","submit_replication":"https://pith.science/pith/MVMARSVFEQMIZQ2ALXZKD4J72U/action/replication_record"}},"created_at":"2026-05-18T00:02:48.870109+00:00","updated_at":"2026-05-18T00:02:48.870109+00:00"}