{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:HY7344X73H2BN7N4HNZPBZXGZZ","short_pith_number":"pith:HY7344X7","schema_version":"1.0","canonical_sha256":"3e3fbe72ffd9f416fdbc3b72f0e6e6ce5e1ee6e0f1ecf4b7e39e32e6c676d73d","source":{"kind":"arxiv","id":"1302.2919","version":3},"attestation_state":"computed","paper":{"title":"Angular velocity of gravitational radiation from precessing binaries and the corotating frame","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Michael Boyle","submitted_at":"2013-02-12T21:00:03Z","abstract_excerpt":"This paper defines an angular velocity for time-dependent functions on the sphere, and applies it to gravitational waveforms from compact binaries. Because it is geometrically meaningful and has a clear physical motivation, the angular velocity is uniquely useful in helping to solve an important---and largely ignored---problem in models of compact binaries: the inverse problem of deducing the physical parameters of a system from the gravitational waves alone. It is also used to define the corotating frame of the waveform. When decomposed in this frame, the waveform has no rotational dynamics a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1302.2919","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-02-12T21:00:03Z","cross_cats_sorted":[],"title_canon_sha256":"c0e8e030c32a90799be679901423cd2106d8be774f194d621b5b08dbd8dd759c","abstract_canon_sha256":"4885c264c513585c5e26dbd9c5ec032ac56cd0dba888d49a7cf0556821afe48d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:59.196623Z","signature_b64":"3iofRdn9qDbcSVBTJXgySK7TEx/6au3Iim5+sGaV35yrgYdEYzekEg3HVyX6Zh5c9Z2Cl5ns3YmRmjplJ0p6CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e3fbe72ffd9f416fdbc3b72f0e6e6ce5e1ee6e0f1ecf4b7e39e32e6c676d73d","last_reissued_at":"2026-05-18T00:31:59.196151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:59.196151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Angular velocity of gravitational radiation from precessing binaries and the corotating frame","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Michael Boyle","submitted_at":"2013-02-12T21:00:03Z","abstract_excerpt":"This paper defines an angular velocity for time-dependent functions on the sphere, and applies it to gravitational waveforms from compact binaries. Because it is geometrically meaningful and has a clear physical motivation, the angular velocity is uniquely useful in helping to solve an important---and largely ignored---problem in models of compact binaries: the inverse problem of deducing the physical parameters of a system from the gravitational waves alone. It is also used to define the corotating frame of the waveform. When decomposed in this frame, the waveform has no rotational dynamics a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2919","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1302.2919","created_at":"2026-05-18T00:31:59.196211+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.2919v3","created_at":"2026-05-18T00:31:59.196211+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2919","created_at":"2026-05-18T00:31:59.196211+00:00"},{"alias_kind":"pith_short_12","alias_value":"HY7344X73H2B","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"HY7344X73H2BN7N4","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"HY7344X7","created_at":"2026-05-18T12:27:46.883200+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2605.20562","citing_title":"Convergence of post-Newtonian for quasi-circular non-precessing comparable mass ratios BBHs","ref_index":34,"is_internal_anchor":true},{"citing_arxiv_id":"1905.09300","citing_title":"Surrogate models for precessing binary black hole simulations with unequal masses","ref_index":100,"is_internal_anchor":true},{"citing_arxiv_id":"2604.14270","citing_title":"Fast neural network surrogate for multimodal effective-one-body gravitational waveforms from generically precessing compact binaries","ref_index":59,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HY7344X73H2BN7N4HNZPBZXGZZ","json":"https://pith.science/pith/HY7344X73H2BN7N4HNZPBZXGZZ.json","graph_json":"https://pith.science/api/pith-number/HY7344X73H2BN7N4HNZPBZXGZZ/graph.json","events_json":"https://pith.science/api/pith-number/HY7344X73H2BN7N4HNZPBZXGZZ/events.json","paper":"https://pith.science/paper/HY7344X7"},"agent_actions":{"view_html":"https://pith.science/pith/HY7344X73H2BN7N4HNZPBZXGZZ","download_json":"https://pith.science/pith/HY7344X73H2BN7N4HNZPBZXGZZ.json","view_paper":"https://pith.science/paper/HY7344X7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.2919&json=true","fetch_graph":"https://pith.science/api/pith-number/HY7344X73H2BN7N4HNZPBZXGZZ/graph.json","fetch_events":"https://pith.science/api/pith-number/HY7344X73H2BN7N4HNZPBZXGZZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HY7344X73H2BN7N4HNZPBZXGZZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HY7344X73H2BN7N4HNZPBZXGZZ/action/storage_attestation","attest_author":"https://pith.science/pith/HY7344X73H2BN7N4HNZPBZXGZZ/action/author_attestation","sign_citation":"https://pith.science/pith/HY7344X73H2BN7N4HNZPBZXGZZ/action/citation_signature","submit_replication":"https://pith.science/pith/HY7344X73H2BN7N4HNZPBZXGZZ/action/replication_record"}},"created_at":"2026-05-18T00:31:59.196211+00:00","updated_at":"2026-05-18T00:31:59.196211+00:00"}