{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UE5VVHDWAIU6STQOA7JIAQ7GKU","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":"a516d4b2828b0df59db20de7ffd95f3324ffbf6490f3693d17682cb79fac4be4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2019-06-04T17:00:12Z","title_canon_sha256":"2b664d066a65334960d48f21e4e535210827e21a288e57867a87945351aaf3d7"},"schema_version":"1.0","source":{"id":"1906.01586","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.01586","created_at":"2026-05-17T23:44:16Z"},{"alias_kind":"arxiv_version","alias_value":"1906.01586v1","created_at":"2026-05-17T23:44:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.01586","created_at":"2026-05-17T23:44:16Z"},{"alias_kind":"pith_short_12","alias_value":"UE5VVHDWAIU6","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UE5VVHDWAIU6STQO","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UE5VVHDW","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:42e0ed65718a56d31ee569b0545fc51abd36a02a52315ecd0380f6441c1572cf","target":"graph","created_at":"2026-05-17T23:44:16Z","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":"Phylogenetics is the study of the evolutionary relationships between organisms. One of the main challenges in the field is to take biological data for a group of organisms and to infer an evolutionary tree, a graph that represents these relationships. Developing practical and efficient methods for inferring phylogenetic trees has lead to a number of interesting mathematical questions across a variety of fields. However, due to hybridization and gene flow, a phylogenetic network may be a better representation of the evolutionary history of some groups of organisms. In this chapter, we introduce","authors_text":"Colby Long, Elizabeth Gross, Joseph Rusinko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2019-06-04T17:00:12Z","title":"Phylogenetic Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.01586","kind":"arxiv","version":1},"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:b4c709fc9215876e82be97b1c5985b1f217f587740284498a5d4e35411dcb41c","target":"record","created_at":"2026-05-17T23:44:16Z","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":"a516d4b2828b0df59db20de7ffd95f3324ffbf6490f3693d17682cb79fac4be4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2019-06-04T17:00:12Z","title_canon_sha256":"2b664d066a65334960d48f21e4e535210827e21a288e57867a87945351aaf3d7"},"schema_version":"1.0","source":{"id":"1906.01586","kind":"arxiv","version":1}},"canonical_sha256":"a13b5a9c760229e94e0e07d28043e65500231ed2d9d31e352e16a625c6f6289e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a13b5a9c760229e94e0e07d28043e65500231ed2d9d31e352e16a625c6f6289e","first_computed_at":"2026-05-17T23:44:16.041548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:16.041548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8lM6aWkRMq2QDSVQ2ZP6f6DlMcQoj8BgnHmgBXUyg6l7J7c5DKwWGoULF3d93exLUL8g41bz7Hv6NeVzK/KRBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:16.042059Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.01586","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4c709fc9215876e82be97b1c5985b1f217f587740284498a5d4e35411dcb41c","sha256:42e0ed65718a56d31ee569b0545fc51abd36a02a52315ecd0380f6441c1572cf"],"state_sha256":"df685f86852692c915f6bcd863f54effdffe9f8950a7c86427cd093827f00097"}