{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XIMNCI6UVICX7ECTZH54XRIZJ2","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":"975ae4b8d2655af996b61befa4969a24b5f3ec488b61134789d86d073daeeb69","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-05-02T20:37:59Z","title_canon_sha256":"941efd10be7999e5e2bfd4e7b2075205e3077d52a02fe6c28e410d9ac2b7bc49"},"schema_version":"1.0","source":{"id":"1405.0506","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0506","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0506v1","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0506","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"pith_short_12","alias_value":"XIMNCI6UVICX","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XIMNCI6UVICX7ECT","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XIMNCI6U","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:8e452b3fc68b00cff815aa45191e896f313ebb38fb2b4a6fe10ca2353c144ca4","target":"graph","created_at":"2026-05-18T02:52:41Z","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":"Efficiently sampling from the P\\'olya-Gamma distribution, ${PG}(b,z)$, is an essential element of P\\'olya-Gamma data augmentation. Polson et. al (2013) show how to efficiently sample from the ${PG}(1,z)$ distribution. We build two new samplers that offer improved performance when sampling from the ${PG}(b,z)$ distribution and $b$ is not unity.","authors_text":"James G. Scott, Jesse Windle, Nicholas G. Polson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-05-02T20:37:59Z","title":"Sampling Polya-Gamma random variates: alternate and approximate techniques"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0506","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":"sha256:2572ed623abc7f87fb6850a3b09d76e146802506bc19792619a7fd46563cee8a","target":"record","created_at":"2026-05-18T02:52:41Z","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":"975ae4b8d2655af996b61befa4969a24b5f3ec488b61134789d86d073daeeb69","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-05-02T20:37:59Z","title_canon_sha256":"941efd10be7999e5e2bfd4e7b2075205e3077d52a02fe6c28e410d9ac2b7bc49"},"schema_version":"1.0","source":{"id":"1405.0506","kind":"arxiv","version":1}},"canonical_sha256":"ba18d123d4aa057f9053c9fbcbc5194e9e4dd0439242675081d1ce9aafdaddf1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba18d123d4aa057f9053c9fbcbc5194e9e4dd0439242675081d1ce9aafdaddf1","first_computed_at":"2026-05-18T02:52:41.297970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:41.297970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K2FOq3be1shPOpiYA67S5KjnSPiNA1OlLO8KbQbobcFCzMGVGxn0rEMEpKTdyue7KI1qA642S4sZmuLizRgACg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:41.298401Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.0506","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2572ed623abc7f87fb6850a3b09d76e146802506bc19792619a7fd46563cee8a","sha256:8e452b3fc68b00cff815aa45191e896f313ebb38fb2b4a6fe10ca2353c144ca4"],"state_sha256":"94d87dc5775d9c488be2b19b1dee12efcaa38269bf551c042c69aa8c63e28476"}