{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:OOCI5T6SNRNKIH3GKHVZ7WSJZJ","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":"0e35939c6f0ce19929bd4bbd83219d6d6b331d26ab7af456c44d2a18a55e9b1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-08-17T21:43:23Z","title_canon_sha256":"adbdbe50d94eefd307ea1a87c2e0d22f3031446163c9da42e0797539520a26cc"},"schema_version":"1.0","source":{"id":"0808.2315","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.2315","created_at":"2026-07-04T15:29:12Z"},{"alias_kind":"arxiv_version","alias_value":"0808.2315v2","created_at":"2026-07-04T15:29:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.2315","created_at":"2026-07-04T15:29:12Z"},{"alias_kind":"pith_short_12","alias_value":"OOCI5T6SNRNK","created_at":"2026-07-04T15:29:12Z"},{"alias_kind":"pith_short_16","alias_value":"OOCI5T6SNRNKIH3G","created_at":"2026-07-04T15:29:12Z"},{"alias_kind":"pith_short_8","alias_value":"OOCI5T6S","created_at":"2026-07-04T15:29:12Z"}],"graph_snapshots":[{"event_id":"sha256:976bd4f04858ecad8cd27faf12c0b7bf13ee38da20971627a0affdf83d842d7e","target":"graph","created_at":"2026-07-04T15:29:12Z","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/0808.2315/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The mode-sum method provides a practical means for calculating the self force acting on a small particle orbiting a larger black hole. In this method, one first computes the spherical-harmonic $l$-mode contributions $F^{\\mu}_l$ of the \"full force\" field $F^{\\mu}$, evaluated at the particle's location, and then sums over $l$ subject to a certain regularization procedure. In the frequency-domain variant of this scheme the quantities $F^{\\mu}_l$ are obtained by fully decomposing the particle's self field into Fourier-harmonic modes $l m \\omega$, calculating the contribution of each such mode to $","authors_text":"Amos Ori, Leor Barack, Norichika Sago","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-08-17T21:43:23Z","title":"Frequency-domain calculation of the self force: the high-frequency problem and its resolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.2315","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:eeea9a555f9b455659ceb5850fe41d29bf66afda47aebf11d2ebe462f561606f","target":"record","created_at":"2026-07-04T15:29:12Z","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":"0e35939c6f0ce19929bd4bbd83219d6d6b331d26ab7af456c44d2a18a55e9b1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-08-17T21:43:23Z","title_canon_sha256":"adbdbe50d94eefd307ea1a87c2e0d22f3031446163c9da42e0797539520a26cc"},"schema_version":"1.0","source":{"id":"0808.2315","kind":"arxiv","version":2}},"canonical_sha256":"73848ecfd26c5aa41f6651eb9fda49ca64c8c2f6f32e8e143752101bdca34150","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73848ecfd26c5aa41f6651eb9fda49ca64c8c2f6f32e8e143752101bdca34150","first_computed_at":"2026-07-04T15:29:12.622210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:29:12.622210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nZQmb8roNyNBAg/Dk9d8kTGiN2D4fuMrhmoM1lt76Iq7Mj+xnnvVZ89ETGz9l3pc038QfZKSkQpPwETNxuvgAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:29:12.622651Z","signed_message":"canonical_sha256_bytes"},"source_id":"0808.2315","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eeea9a555f9b455659ceb5850fe41d29bf66afda47aebf11d2ebe462f561606f","sha256:976bd4f04858ecad8cd27faf12c0b7bf13ee38da20971627a0affdf83d842d7e"],"state_sha256":"c03b0db7603828552cf67ff210c27c22d533c750e3a58a43c57d34cc651129fa"}