{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:GOSP3EKQCCJJQCEBT3OMAAFLCU","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":"913c7808cafe41f352cf49f3ddc0aeb8e8d21a282f3146ecf6559f1c90e772e8","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-02-03T18:10:58Z","title_canon_sha256":"a950c76b5f7dc9da4b8885357da95f154f5c7256f0f2c5b7757c5675ef3415d8"},"schema_version":"1.0","source":{"id":"0902.0573","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.0573","created_at":"2026-07-04T15:45:14Z"},{"alias_kind":"arxiv_version","alias_value":"0902.0573v2","created_at":"2026-07-04T15:45:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.0573","created_at":"2026-07-04T15:45:14Z"},{"alias_kind":"pith_short_12","alias_value":"GOSP3EKQCCJJ","created_at":"2026-07-04T15:45:14Z"},{"alias_kind":"pith_short_16","alias_value":"GOSP3EKQCCJJQCEB","created_at":"2026-07-04T15:45:14Z"},{"alias_kind":"pith_short_8","alias_value":"GOSP3EKQ","created_at":"2026-07-04T15:45:14Z"}],"graph_snapshots":[{"event_id":"sha256:72fc22d45bd085a1bb9110f31866e1887ec1d9e16b55055b4925a15c5bb3546d","target":"graph","created_at":"2026-07-04T15:45:14Z","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/0902.0573/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The innermost stable circular orbit (ISCO) of a test particle around a Schwarzschild black hole of mass $M$ has (areal) radius $r_{\\rm isco}= 6M G/c^2$. If the particle is endowed with mass $\\mu(\\ll M)$, it experiences a gravitational self-force whose conservative piece alters the location of the ISCO. Here we calculate the resulting shifts $\\Delta r_{\\rm isco}$ and $\\Delta\\Omega_{\\rm isco}$ in the ISCO's radius and frequency, at leading order in the mass ratio $\\mu/M$. We obtain, in the Lorenz gauge, $\\Delta r_{\\rm isco}=-3.269 (\\pm 0.003)\\mu G/c^2$ and $\\Delta\\Omega_{\\rm isco}/\\Omega_{\\rm is","authors_text":"Leor Barack, Norichika Sago","cross_cats":["astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-02-03T18:10:58Z","title":"Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.0573","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":"sha256:2d01180e637cf88bb3cd87d5072c2945ec0f5e1c0677c4166e33658a743e1ef8","target":"record","created_at":"2026-07-04T15:45:14Z","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":"913c7808cafe41f352cf49f3ddc0aeb8e8d21a282f3146ecf6559f1c90e772e8","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-02-03T18:10:58Z","title_canon_sha256":"a950c76b5f7dc9da4b8885357da95f154f5c7256f0f2c5b7757c5675ef3415d8"},"schema_version":"1.0","source":{"id":"0902.0573","kind":"arxiv","version":2}},"canonical_sha256":"33a4fd915010929808819edcc000ab15017fd799e5a3d0a8de71246568df90f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33a4fd915010929808819edcc000ab15017fd799e5a3d0a8de71246568df90f6","first_computed_at":"2026-07-04T15:45:14.687309Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:45:14.687309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DYS4kv2htLyRVTegK3+hG2KRTOg6Asp2eDjI0ZtgBEtjmUNE5gFmDfId94hTLEbZctAmfx/sUeCDx5sU7hSEAw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:45:14.687747Z","signed_message":"canonical_sha256_bytes"},"source_id":"0902.0573","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d01180e637cf88bb3cd87d5072c2945ec0f5e1c0677c4166e33658a743e1ef8","sha256:72fc22d45bd085a1bb9110f31866e1887ec1d9e16b55055b4925a15c5bb3546d"],"state_sha256":"218e730e2f9e8032646191771cff93cbef9dbfc5001f9aa51341df620a750ec6"}