{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:OM4EHRZD4INTXAHOR5CFMF5W5M","short_pith_number":"pith:OM4EHRZD","schema_version":"1.0","canonical_sha256":"733843c723e21b3b80ee8f445617b6eb00533d6687f7c2f214dac55f071e4dfa","source":{"kind":"arxiv","id":"1404.6133","version":2},"attestation_state":"computed","paper":{"title":"Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"gr-qc","authors_text":"Abhay G. Shah, Alexandre Le Tiec, Hiroyuki Nakano, Leor Barack, Niels Warburton, Sam R. Dolan, Soichiro Isoyama, Takahiro Tanaka","submitted_at":"2014-04-24T14:39:31Z","abstract_excerpt":"For a self-gravitating particle of mass \\mu in orbit around a Kerr black hole of mass M >> \\mu, we compute the O(\\mu/M) shift in the frequency of the innermost stable circular equatorial orbit (ISCEO) due to the conservative piece of the gravitational self-force acting on the particle. Our treatment is based on a Hamiltonian formulation of the dynamics in terms of geodesic motion in a certain locally-defined effective smooth spacetime. We recover the same result using the so-called first law of binary black-hole mechanics. We give numerical results for the ISCEO frequency shift as a function o"},"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":"1404.6133","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-04-24T14:39:31Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"60a4920cba8c8b85eb839acca2785e49019cdb7ff5381c5e68f5d4d5350158b9","abstract_canon_sha256":"de11b9ac909929fbd9e56125d7cf57f5ea41106d74ffb5ef1b2092ded71fcaef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:48.258873Z","signature_b64":"NwaGOUB+zmj2RwSS52eT2GsYlgTWQnmmEvU9sL5cXPE+ObA8czYcZ/uX8fsA3RzpvgiwGTdPiLqHULmZIAp8Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"733843c723e21b3b80ee8f445617b6eb00533d6687f7c2f214dac55f071e4dfa","last_reissued_at":"2026-05-18T02:39:48.258282Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:48.258282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"gr-qc","authors_text":"Abhay G. Shah, Alexandre Le Tiec, Hiroyuki Nakano, Leor Barack, Niels Warburton, Sam R. Dolan, Soichiro Isoyama, Takahiro Tanaka","submitted_at":"2014-04-24T14:39:31Z","abstract_excerpt":"For a self-gravitating particle of mass \\mu in orbit around a Kerr black hole of mass M >> \\mu, we compute the O(\\mu/M) shift in the frequency of the innermost stable circular equatorial orbit (ISCEO) due to the conservative piece of the gravitational self-force acting on the particle. Our treatment is based on a Hamiltonian formulation of the dynamics in terms of geodesic motion in a certain locally-defined effective smooth spacetime. We recover the same result using the so-called first law of binary black-hole mechanics. We give numerical results for the ISCEO frequency shift as a function o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6133","kind":"arxiv","version":2},"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":"1404.6133","created_at":"2026-05-18T02:39:48.258410+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.6133v2","created_at":"2026-05-18T02:39:48.258410+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6133","created_at":"2026-05-18T02:39:48.258410+00:00"},{"alias_kind":"pith_short_12","alias_value":"OM4EHRZD4INT","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"OM4EHRZD4INTXAHO","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"OM4EHRZD","created_at":"2026-05-18T12:28:41.024544+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2510.16113","citing_title":"Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary","ref_index":114,"is_internal_anchor":true},{"citing_arxiv_id":"2511.10735","citing_title":"Constants of motion and fundamental frequencies for elliptic orbits at fourth post-Newtonian order","ref_index":56,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OM4EHRZD4INTXAHOR5CFMF5W5M","json":"https://pith.science/pith/OM4EHRZD4INTXAHOR5CFMF5W5M.json","graph_json":"https://pith.science/api/pith-number/OM4EHRZD4INTXAHOR5CFMF5W5M/graph.json","events_json":"https://pith.science/api/pith-number/OM4EHRZD4INTXAHOR5CFMF5W5M/events.json","paper":"https://pith.science/paper/OM4EHRZD"},"agent_actions":{"view_html":"https://pith.science/pith/OM4EHRZD4INTXAHOR5CFMF5W5M","download_json":"https://pith.science/pith/OM4EHRZD4INTXAHOR5CFMF5W5M.json","view_paper":"https://pith.science/paper/OM4EHRZD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.6133&json=true","fetch_graph":"https://pith.science/api/pith-number/OM4EHRZD4INTXAHOR5CFMF5W5M/graph.json","fetch_events":"https://pith.science/api/pith-number/OM4EHRZD4INTXAHOR5CFMF5W5M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OM4EHRZD4INTXAHOR5CFMF5W5M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OM4EHRZD4INTXAHOR5CFMF5W5M/action/storage_attestation","attest_author":"https://pith.science/pith/OM4EHRZD4INTXAHOR5CFMF5W5M/action/author_attestation","sign_citation":"https://pith.science/pith/OM4EHRZD4INTXAHOR5CFMF5W5M/action/citation_signature","submit_replication":"https://pith.science/pith/OM4EHRZD4INTXAHOR5CFMF5W5M/action/replication_record"}},"created_at":"2026-05-18T02:39:48.258410+00:00","updated_at":"2026-05-18T02:39:48.258410+00:00"}