{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:XT5W53UN3E4TNQPONZZHXRE2G6","short_pith_number":"pith:XT5W53UN","canonical_record":{"source":{"id":"0904.3541","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-04-22T20:01:10Z","cross_cats_sorted":["astro-ph.CO","astro-ph.GA","astro-ph.HE","astro-ph.SR"],"title_canon_sha256":"5db02394277f96c24ba347cf8ef6d029547693edbcf02fa3e685a8440c1a3729","abstract_canon_sha256":"84f5be25b3faf58285ec2817ceda62ab3ad651f18f43e896d5c3b1ba254b8a21"},"schema_version":"1.0"},"canonical_sha256":"bcfb6eee8dd93936c1ee6e727bc49a37838e0230e1a88c8f1d656b3e8367d7f4","source":{"kind":"arxiv","id":"0904.3541","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3541","created_at":"2026-07-04T17:29:10Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3541v4","created_at":"2026-07-04T17:29:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3541","created_at":"2026-07-04T17:29:10Z"},{"alias_kind":"pith_short_12","alias_value":"XT5W53UN3E4T","created_at":"2026-07-04T17:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"XT5W53UN3E4TNQPO","created_at":"2026-07-04T17:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"XT5W53UN","created_at":"2026-07-04T17:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:XT5W53UN3E4TNQPONZZHXRE2G6","target":"record","payload":{"canonical_record":{"source":{"id":"0904.3541","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-04-22T20:01:10Z","cross_cats_sorted":["astro-ph.CO","astro-ph.GA","astro-ph.HE","astro-ph.SR"],"title_canon_sha256":"5db02394277f96c24ba347cf8ef6d029547693edbcf02fa3e685a8440c1a3729","abstract_canon_sha256":"84f5be25b3faf58285ec2817ceda62ab3ad651f18f43e896d5c3b1ba254b8a21"},"schema_version":"1.0"},"canonical_sha256":"bcfb6eee8dd93936c1ee6e727bc49a37838e0230e1a88c8f1d656b3e8367d7f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:29:10.424072Z","signature_b64":"5FkgBvftCuYMoY0yIsznE3G63Uc08OvY/VY6rgNf0xm0gMaqsAYoZv1olrd0Q7z/dIXjf35QDkg5e4uB6L9aDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcfb6eee8dd93936c1ee6e727bc49a37838e0230e1a88c8f1d656b3e8367d7f4","last_reissued_at":"2026-07-04T17:29:10.423695Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:29:10.423695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.3541","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:29:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MqJYHkLLxG27816NqiAqVeY2QMO+8DtvwAZ5EOMUYvJkKv9e5lAaeGIbeUATFyTTtJeZK7Qt0c310LarlouzDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T06:53:16.048428Z"},"content_sha256":"e7ecaf51719e868794e215fb2ea14e1704a61c41598ece0c24351db723eaa857","schema_version":"1.0","event_id":"sha256:e7ecaf51719e868794e215fb2ea14e1704a61c41598ece0c24351db723eaa857"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:XT5W53UN3E4TNQPONZZHXRE2G6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Remnant Masses, Spins and Recoils from the Merger of Generic Black-Hole Binaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","astro-ph.GA","astro-ph.HE","astro-ph.SR"],"primary_cat":"gr-qc","authors_text":"Carlos O. Lousto, Hiroyuki Nakano (RIT), Manuela Campanelli, Yosef Zlochower","submitted_at":"2009-04-22T20:01:10Z","abstract_excerpt":"We obtain empirical formulae for the final remnant black hole mass, spin, and recoil velocity from merging black-hole binaries with arbitrary mass ratios and spins. Our formulae are based on the mass ratio and spin dependence of the post-Newtonian expressions for the instantaneous radiated energy, linear momentum, and angular momentum, as well as the ISCO binding energy and angular momentum. The relative weight between the different terms is fixed by amplitude parameters chosen through a least-squares fit of recently available fully nonlinear numerical simulations.  These formulae can be used "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3541","kind":"arxiv","version":4},"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/0904.3541/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":"2026-07-04T17:29:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h37LJxZ/E9ZKidGgk7RjF3gGJpX1eLnk8OekdtRJfQnth9m6MT0756FB9FYCcT4zNQlIW7Lf2/ioUCog4A8pCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T06:53:16.048963Z"},"content_sha256":"fed3d4396ce855cd6f42d2de7685033a2c13ea6b04d5f675d78008e7d84bb148","schema_version":"1.0","event_id":"sha256:fed3d4396ce855cd6f42d2de7685033a2c13ea6b04d5f675d78008e7d84bb148"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XT5W53UN3E4TNQPONZZHXRE2G6/bundle.json","state_url":"https://pith.science/pith/XT5W53UN3E4TNQPONZZHXRE2G6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XT5W53UN3E4TNQPONZZHXRE2G6/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":"2026-08-06T06:53:16Z","links":{"resolver":"https://pith.science/pith/XT5W53UN3E4TNQPONZZHXRE2G6","bundle":"https://pith.science/pith/XT5W53UN3E4TNQPONZZHXRE2G6/bundle.json","state":"https://pith.science/pith/XT5W53UN3E4TNQPONZZHXRE2G6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XT5W53UN3E4TNQPONZZHXRE2G6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:XT5W53UN3E4TNQPONZZHXRE2G6","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":"84f5be25b3faf58285ec2817ceda62ab3ad651f18f43e896d5c3b1ba254b8a21","cross_cats_sorted":["astro-ph.CO","astro-ph.GA","astro-ph.HE","astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-04-22T20:01:10Z","title_canon_sha256":"5db02394277f96c24ba347cf8ef6d029547693edbcf02fa3e685a8440c1a3729"},"schema_version":"1.0","source":{"id":"0904.3541","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3541","created_at":"2026-07-04T17:29:10Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3541v4","created_at":"2026-07-04T17:29:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3541","created_at":"2026-07-04T17:29:10Z"},{"alias_kind":"pith_short_12","alias_value":"XT5W53UN3E4T","created_at":"2026-07-04T17:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"XT5W53UN3E4TNQPO","created_at":"2026-07-04T17:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"XT5W53UN","created_at":"2026-07-04T17:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:fed3d4396ce855cd6f42d2de7685033a2c13ea6b04d5f675d78008e7d84bb148","target":"graph","created_at":"2026-07-04T17:29:10Z","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/0904.3541/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We obtain empirical formulae for the final remnant black hole mass, spin, and recoil velocity from merging black-hole binaries with arbitrary mass ratios and spins. Our formulae are based on the mass ratio and spin dependence of the post-Newtonian expressions for the instantaneous radiated energy, linear momentum, and angular momentum, as well as the ISCO binding energy and angular momentum. The relative weight between the different terms is fixed by amplitude parameters chosen through a least-squares fit of recently available fully nonlinear numerical simulations.  These formulae can be used ","authors_text":"Carlos O. Lousto, Hiroyuki Nakano (RIT), Manuela Campanelli, Yosef Zlochower","cross_cats":["astro-ph.CO","astro-ph.GA","astro-ph.HE","astro-ph.SR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-04-22T20:01:10Z","title":"Remnant Masses, Spins and Recoils from the Merger of Generic Black-Hole Binaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3541","kind":"arxiv","version":4},"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:e7ecaf51719e868794e215fb2ea14e1704a61c41598ece0c24351db723eaa857","target":"record","created_at":"2026-07-04T17:29:10Z","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":"84f5be25b3faf58285ec2817ceda62ab3ad651f18f43e896d5c3b1ba254b8a21","cross_cats_sorted":["astro-ph.CO","astro-ph.GA","astro-ph.HE","astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-04-22T20:01:10Z","title_canon_sha256":"5db02394277f96c24ba347cf8ef6d029547693edbcf02fa3e685a8440c1a3729"},"schema_version":"1.0","source":{"id":"0904.3541","kind":"arxiv","version":4}},"canonical_sha256":"bcfb6eee8dd93936c1ee6e727bc49a37838e0230e1a88c8f1d656b3e8367d7f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcfb6eee8dd93936c1ee6e727bc49a37838e0230e1a88c8f1d656b3e8367d7f4","first_computed_at":"2026-07-04T17:29:10.423695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:29:10.423695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5FkgBvftCuYMoY0yIsznE3G63Uc08OvY/VY6rgNf0xm0gMaqsAYoZv1olrd0Q7z/dIXjf35QDkg5e4uB6L9aDw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:29:10.424072Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.3541","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7ecaf51719e868794e215fb2ea14e1704a61c41598ece0c24351db723eaa857","sha256:fed3d4396ce855cd6f42d2de7685033a2c13ea6b04d5f675d78008e7d84bb148"],"state_sha256":"795c023ae3704ce760b1b0210e2aab582f1c882aa361b4dea844b5e69a77f8f6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c+GsrZWEYBiY1FxRzvonH0ST8GzplXnq+NPPS7EjrXpCI7VmRv7bJxfC71uwBhNgK2S89GpVjk0Z5CFTB/RDBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T06:53:16.053019Z","bundle_sha256":"a2176e50d7d8880336044e6998b2336857990b86b51d3a3996dfa2fd519113ee"}}