{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:6ABJBEBA7S3IJZ6HHYECW4QDPR","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":"6eb7be8db8aed31e9aa99dce6f28e7c37dbad5f5cdb320d90b3d302172f232aa","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-08-27T00:35:00Z","title_canon_sha256":"24ad61eb59ec54fcaf5ee70a70a98f8e8bdad71013a43e0d421a5f9b61d1aeae"},"schema_version":"1.0","source":{"id":"1008.4625","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4625","created_at":"2026-05-18T04:07:06Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4625v2","created_at":"2026-05-18T04:07:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4625","created_at":"2026-05-18T04:07:06Z"},{"alias_kind":"pith_short_12","alias_value":"6ABJBEBA7S3I","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6ABJBEBA7S3IJZ6H","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6ABJBEBA","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:01c879140027ef141bd67e6d9463b6d65fe905037ce3a8957390385a2be5b47d","target":"graph","created_at":"2026-05-18T04:07:06Z","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 derive an invertible transform linking two widely used measures of species diversity: phylogenetic diversity and the expected proportions of segregating (non-constant) sites. We assume a bi-allelic, symmetric, finite site model of substitution. Like the Hadamard transform of Hendy and Penny, the transform can be expressed completely independent of the underlying phylogeny. Our results bridge work on diversity from two quite distinct scientific communities.","authors_text":"David Bryant, Steffen Klaere","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-08-27T00:35:00Z","title":"The link between segregation and phylogenetic diversity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4625","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":"sha256:6fdbedda7d9e24a9e9c3c007d7139d37e0269847375214f840b73c2a4aee941c","target":"record","created_at":"2026-05-18T04:07:06Z","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":"6eb7be8db8aed31e9aa99dce6f28e7c37dbad5f5cdb320d90b3d302172f232aa","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-08-27T00:35:00Z","title_canon_sha256":"24ad61eb59ec54fcaf5ee70a70a98f8e8bdad71013a43e0d421a5f9b61d1aeae"},"schema_version":"1.0","source":{"id":"1008.4625","kind":"arxiv","version":2}},"canonical_sha256":"f002909020fcb684e7c73e082b72037c7ebd7d6c777b15bbe6f121814e0e2eb7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f002909020fcb684e7c73e082b72037c7ebd7d6c777b15bbe6f121814e0e2eb7","first_computed_at":"2026-05-18T04:07:06.776448Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:06.776448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"djqX4P6HX8tSTB8YHUEEZHh2isf8O6YMQkBVTtUZTFNvUZEaikuxzqn7gFT2lqtlCd7dbvHSKSgdi62z1d5LAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:06.777010Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4625","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fdbedda7d9e24a9e9c3c007d7139d37e0269847375214f840b73c2a4aee941c","sha256:01c879140027ef141bd67e6d9463b6d65fe905037ce3a8957390385a2be5b47d"],"state_sha256":"e80a800fa45dbe3b6200ed90ef08831e18fff9e63baba1dea2c5630ed8d58455"}