{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GUSJ477ASXCXACDF2I2FLIKMZU","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":"9dda188ef473effc68381264ac5b0aa63a8bb26cf1461c7ad2dde27225ae7bd5","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-08-25T08:31:51Z","title_canon_sha256":"c6604ed02d9b26f2837b85cee80e14e0ef71aeb2606d7ac7fca80f6e40c45b0e"},"schema_version":"1.0","source":{"id":"1808.08376","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08376","created_at":"2026-05-17T23:56:29Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08376v5","created_at":"2026-05-17T23:56:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08376","created_at":"2026-05-17T23:56:29Z"},{"alias_kind":"pith_short_12","alias_value":"GUSJ477ASXCX","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GUSJ477ASXCXACDF","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GUSJ477A","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:1b4a200c563306345e8194dcc608821ebc89b157e6533b608bd5de1d3b41fbfe","target":"graph","created_at":"2026-05-17T23:56:29Z","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 biology, a phylogenetic tree is a tool to represent the evolutionary relationship between species. Unfortunately, the classical Schr\\\"oder tree model is not adapted to take into account the chronology between the branching nodes. In particular, it does not answer the question: how many different phylogenetic stories lead to the creation of n species and what is the average time to get there? In this paper, we enrich this model in two distinct ways in order to obtain two ranked tree models for phylogenetics, i.e. models coding chronology. For that purpose, we first develop a model of (strong","authors_text":"Antoine Genitrini, Mehdi Naima, Olivier Bodini","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-08-25T08:31:51Z","title":"Ranked Schr\\\"oder Trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08376","kind":"arxiv","version":5},"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:ba315432a06bdd43fb7522b7f51f8ad5cb686ca07336367acd2ea50336320c03","target":"record","created_at":"2026-05-17T23:56:29Z","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":"9dda188ef473effc68381264ac5b0aa63a8bb26cf1461c7ad2dde27225ae7bd5","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-08-25T08:31:51Z","title_canon_sha256":"c6604ed02d9b26f2837b85cee80e14e0ef71aeb2606d7ac7fca80f6e40c45b0e"},"schema_version":"1.0","source":{"id":"1808.08376","kind":"arxiv","version":5}},"canonical_sha256":"35249e7fe095c5700865d23455a14ccd2b94829805b3140278a62feb9be33abc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35249e7fe095c5700865d23455a14ccd2b94829805b3140278a62feb9be33abc","first_computed_at":"2026-05-17T23:56:29.486430Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:29.486430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VIokVstSIBjdpFurEWy4MSKrHSM0nxSKCyVn8TyV2b1UHNFb9sr4mLKBdOU5qwzZ25wCpb20AokjiCrP4nU0CA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:29.486886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.08376","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba315432a06bdd43fb7522b7f51f8ad5cb686ca07336367acd2ea50336320c03","sha256:1b4a200c563306345e8194dcc608821ebc89b157e6533b608bd5de1d3b41fbfe"],"state_sha256":"3b4c599b6e66b3002de031ea39218de2364d5a4ca8a8fd2aac3b1d4a747ae76a"}