{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:KXWGSWMEKDAT5JMMZGDOGTYVFC","short_pith_number":"pith:KXWGSWME","canonical_record":{"source":{"id":"2412.14551","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-19T06:08:07Z","cross_cats_sorted":[],"title_canon_sha256":"54f7f39c85799ce2f533cd4c1f373f2306c3a47758d353f83e570e50fd18c21d","abstract_canon_sha256":"b87eb66e360520a5ae16a9a058009783d53b8f5c8f9ea718ca9edab41c85220b"},"schema_version":"1.0"},"canonical_sha256":"55ec69598450c13ea58cc986e34f152895f2f30219408595e1af2759e775648e","source":{"kind":"arxiv","id":"2412.14551","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.14551","created_at":"2026-07-05T11:23:21Z"},{"alias_kind":"arxiv_version","alias_value":"2412.14551v1","created_at":"2026-07-05T11:23:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.14551","created_at":"2026-07-05T11:23:21Z"},{"alias_kind":"pith_short_12","alias_value":"KXWGSWMEKDAT","created_at":"2026-07-05T11:23:21Z"},{"alias_kind":"pith_short_16","alias_value":"KXWGSWMEKDAT5JMM","created_at":"2026-07-05T11:23:21Z"},{"alias_kind":"pith_short_8","alias_value":"KXWGSWME","created_at":"2026-07-05T11:23:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:KXWGSWMEKDAT5JMMZGDOGTYVFC","target":"record","payload":{"canonical_record":{"source":{"id":"2412.14551","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-19T06:08:07Z","cross_cats_sorted":[],"title_canon_sha256":"54f7f39c85799ce2f533cd4c1f373f2306c3a47758d353f83e570e50fd18c21d","abstract_canon_sha256":"b87eb66e360520a5ae16a9a058009783d53b8f5c8f9ea718ca9edab41c85220b"},"schema_version":"1.0"},"canonical_sha256":"55ec69598450c13ea58cc986e34f152895f2f30219408595e1af2759e775648e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:23:21.855054Z","signature_b64":"R/iIEMhRg8xpMutGf0VKH6rPiik9fsFml8lIRCQ6+oKuO5GBXFZswHss0/aUphe/MLzLx0RR1upl6mv8bThTAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55ec69598450c13ea58cc986e34f152895f2f30219408595e1af2759e775648e","last_reissued_at":"2026-07-05T11:23:21.854496Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:23:21.854496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.14551","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:23:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Y4dmlwVGqYmJGH9prR2V+yaIuZ+HsMhQboptizQsv+3cz4idKr7ZFfukvF/f5e3AzOZD/iKFk4m0a04+awABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:55:08.956754Z"},"content_sha256":"f9fae2eda2149f1daec91cfa1a4856d808fe0246121844b28d5dbad5afb4930f","schema_version":"1.0","event_id":"sha256:f9fae2eda2149f1daec91cfa1a4856d808fe0246121844b28d5dbad5afb4930f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:KXWGSWMEKDAT5JMMZGDOGTYVFC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An analytical joint prior for effective spins for inference on the spin distribution of binary black holes","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Kazuya Kobayashi, Kenta Hotokezaka, Masaki Iwaya, Soichiro Morisaki, Tomoya Kinugawa","submitted_at":"2024-12-19T06:08:07Z","abstract_excerpt":"We derive an analytical form of the joint prior of effective spin parameters, $\\chi_\\mathrm{eff}$ and $\\chi_\\mathrm{p}$, assuming an isotropic and uniform-in-magnitude spin distribution. This is a vital factor in performing hierarchical Bayesian inference for studying the population properties of merging compact binaries observed with gravitational waves. In previous analyses, this was evaluated numerically using kernel density estimation (KDE). However, we find that this numerical approach is inaccurate in certain parameter regions, where both $|\\chi_\\mathrm{eff}|$ and $\\chi_\\mathrm{p}$ are s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.14551","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.14551/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:23:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UV+Y3DniJ9dkkEtO3W0HD9oS+DBkwP8AVOhgd3red12CQSIrSNTfRKpUfayZQrOM/+LupmLHLTLrg6hIm7ceDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:55:08.957258Z"},"content_sha256":"00b26ae3256eb5cb0e33118e3d7cc726bd556f47f3ea286987fe8b4972889198","schema_version":"1.0","event_id":"sha256:00b26ae3256eb5cb0e33118e3d7cc726bd556f47f3ea286987fe8b4972889198"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KXWGSWMEKDAT5JMMZGDOGTYVFC/bundle.json","state_url":"https://pith.science/pith/KXWGSWMEKDAT5JMMZGDOGTYVFC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KXWGSWMEKDAT5JMMZGDOGTYVFC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-13T03:55:08Z","links":{"resolver":"https://pith.science/pith/KXWGSWMEKDAT5JMMZGDOGTYVFC","bundle":"https://pith.science/pith/KXWGSWMEKDAT5JMMZGDOGTYVFC/bundle.json","state":"https://pith.science/pith/KXWGSWMEKDAT5JMMZGDOGTYVFC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KXWGSWMEKDAT5JMMZGDOGTYVFC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KXWGSWMEKDAT5JMMZGDOGTYVFC","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":"b87eb66e360520a5ae16a9a058009783d53b8f5c8f9ea718ca9edab41c85220b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-19T06:08:07Z","title_canon_sha256":"54f7f39c85799ce2f533cd4c1f373f2306c3a47758d353f83e570e50fd18c21d"},"schema_version":"1.0","source":{"id":"2412.14551","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.14551","created_at":"2026-07-05T11:23:21Z"},{"alias_kind":"arxiv_version","alias_value":"2412.14551v1","created_at":"2026-07-05T11:23:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.14551","created_at":"2026-07-05T11:23:21Z"},{"alias_kind":"pith_short_12","alias_value":"KXWGSWMEKDAT","created_at":"2026-07-05T11:23:21Z"},{"alias_kind":"pith_short_16","alias_value":"KXWGSWMEKDAT5JMM","created_at":"2026-07-05T11:23:21Z"},{"alias_kind":"pith_short_8","alias_value":"KXWGSWME","created_at":"2026-07-05T11:23:21Z"}],"graph_snapshots":[{"event_id":"sha256:00b26ae3256eb5cb0e33118e3d7cc726bd556f47f3ea286987fe8b4972889198","target":"graph","created_at":"2026-07-05T11:23:21Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.14551/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive an analytical form of the joint prior of effective spin parameters, $\\chi_\\mathrm{eff}$ and $\\chi_\\mathrm{p}$, assuming an isotropic and uniform-in-magnitude spin distribution. This is a vital factor in performing hierarchical Bayesian inference for studying the population properties of merging compact binaries observed with gravitational waves. In previous analyses, this was evaluated numerically using kernel density estimation (KDE). However, we find that this numerical approach is inaccurate in certain parameter regions, where both $|\\chi_\\mathrm{eff}|$ and $\\chi_\\mathrm{p}$ are s","authors_text":"Kazuya Kobayashi, Kenta Hotokezaka, Masaki Iwaya, Soichiro Morisaki, Tomoya Kinugawa","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-19T06:08:07Z","title":"An analytical joint prior for effective spins for inference on the spin distribution of binary black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.14551","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:f9fae2eda2149f1daec91cfa1a4856d808fe0246121844b28d5dbad5afb4930f","target":"record","created_at":"2026-07-05T11:23:21Z","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":"b87eb66e360520a5ae16a9a058009783d53b8f5c8f9ea718ca9edab41c85220b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-19T06:08:07Z","title_canon_sha256":"54f7f39c85799ce2f533cd4c1f373f2306c3a47758d353f83e570e50fd18c21d"},"schema_version":"1.0","source":{"id":"2412.14551","kind":"arxiv","version":1}},"canonical_sha256":"55ec69598450c13ea58cc986e34f152895f2f30219408595e1af2759e775648e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55ec69598450c13ea58cc986e34f152895f2f30219408595e1af2759e775648e","first_computed_at":"2026-07-05T11:23:21.854496Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:23:21.854496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R/iIEMhRg8xpMutGf0VKH6rPiik9fsFml8lIRCQ6+oKuO5GBXFZswHss0/aUphe/MLzLx0RR1upl6mv8bThTAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:23:21.855054Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.14551","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9fae2eda2149f1daec91cfa1a4856d808fe0246121844b28d5dbad5afb4930f","sha256:00b26ae3256eb5cb0e33118e3d7cc726bd556f47f3ea286987fe8b4972889198"],"state_sha256":"0b7ed658fe63688bec5b8f7f3881cb929221f0d79ad78c0df2819d57781781e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z0BTxpgH2yNX+qv/yxKM2GtZO0iDCVmnY8IuGvcdXAV00JwIT6eAi07KXqUpmox79Ds7Yq2yuLOdOWe/zBkXDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T03:55:08.961481Z","bundle_sha256":"a343f0b1fa4c784272eb3a4a9ed834bf42ca9b27096f160ad68bffe8c76ba4c4"}}