{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OM4EHRZD4INTXAHOR5CFMF5W5M","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":"de11b9ac909929fbd9e56125d7cf57f5ea41106d74ffb5ef1b2092ded71fcaef","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-04-24T14:39:31Z","title_canon_sha256":"60a4920cba8c8b85eb839acca2785e49019cdb7ff5381c5e68f5d4d5350158b9"},"schema_version":"1.0","source":{"id":"1404.6133","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6133","created_at":"2026-05-18T02:39:48Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6133v2","created_at":"2026-05-18T02:39:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6133","created_at":"2026-05-18T02:39:48Z"},{"alias_kind":"pith_short_12","alias_value":"OM4EHRZD4INT","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"OM4EHRZD4INTXAHO","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"OM4EHRZD","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:79ebc0846ee0d9e527138b98df9714c7a05d6848a65a09ecdc49c616565047f5","target":"graph","created_at":"2026-05-18T02:39:48Z","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":"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","authors_text":"Abhay G. Shah, Alexandre Le Tiec, Hiroyuki Nakano, Leor Barack, Niels Warburton, Sam R. Dolan, Soichiro Isoyama, Takahiro Tanaka","cross_cats":["astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-04-24T14:39:31Z","title":"Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6133","kind":"arxiv","version":2},"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":"sha256:223c829d47cb81c8fc5ecf565bbec80010cadc598321a198ab870e0e55aef590","target":"record","created_at":"2026-05-18T02:39:48Z","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":"de11b9ac909929fbd9e56125d7cf57f5ea41106d74ffb5ef1b2092ded71fcaef","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-04-24T14:39:31Z","title_canon_sha256":"60a4920cba8c8b85eb839acca2785e49019cdb7ff5381c5e68f5d4d5350158b9"},"schema_version":"1.0","source":{"id":"1404.6133","kind":"arxiv","version":2}},"canonical_sha256":"733843c723e21b3b80ee8f445617b6eb00533d6687f7c2f214dac55f071e4dfa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"733843c723e21b3b80ee8f445617b6eb00533d6687f7c2f214dac55f071e4dfa","first_computed_at":"2026-05-18T02:39:48.258282Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:48.258282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NwaGOUB+zmj2RwSS52eT2GsYlgTWQnmmEvU9sL5cXPE+ObA8czYcZ/uX8fsA3RzpvgiwGTdPiLqHULmZIAp8Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:48.258873Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6133","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:223c829d47cb81c8fc5ecf565bbec80010cadc598321a198ab870e0e55aef590","sha256:79ebc0846ee0d9e527138b98df9714c7a05d6848a65a09ecdc49c616565047f5"],"state_sha256":"7fead5cf40a25b3b7513258942fa33dea8f2b9d6e3fadaa60f143ec550aa2d1e"}