{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZUDA7BOI27JZOPO6KFK2MZ3ZCF","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":"a354875b4eed6dec56ee21aeb0c738ec590e17476eec6440d95bd9997cfa8f70","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-17T21:08:50Z","title_canon_sha256":"044ac101d3f800a9063fc542c4d2af9d0b10b3b971c0984e59555f53da618416"},"schema_version":"1.0","source":{"id":"1101.3331","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.3331","created_at":"2026-05-18T02:22:51Z"},{"alias_kind":"arxiv_version","alias_value":"1101.3331v2","created_at":"2026-05-18T02:22:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3331","created_at":"2026-05-18T02:22:51Z"},{"alias_kind":"pith_short_12","alias_value":"ZUDA7BOI27JZ","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZUDA7BOI27JZOPO6","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZUDA7BOI","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:8a9b4482f7fa7642caba54f554c12892962db9a56cf764e9be0d3f24a23c56bf","target":"graph","created_at":"2026-05-18T02:22:51Z","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":"We study conservative finite-mass corrections to the motion of a particle in a bound (eccentric) strong-field orbit around a Schwarzschild black hole. We assume the particle's mass $\\mu$ is much smaller than the black hole mass $M$, and explore post-geodesic corrections of $O(\\mu/M)$. Our analysis uses numerical data from a recently developed code that outputs the Lorenz-gauge gravitational self-force (GSF) acting on the particle along the eccentric geodesic. First, we calculate the $O(\\mu/M)$ conservative correction to the periastron advance of the orbit, as a function of the (gauge-dependent","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":"2011-01-17T21:08:50Z","title":"Beyond the geodesic approximation: conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3331","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":"sha256:7b9d5655de19e08918f947fed27c89addce92f9f73a9e1130d226f5a737fcef7","target":"record","created_at":"2026-05-18T02:22:51Z","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":"a354875b4eed6dec56ee21aeb0c738ec590e17476eec6440d95bd9997cfa8f70","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-17T21:08:50Z","title_canon_sha256":"044ac101d3f800a9063fc542c4d2af9d0b10b3b971c0984e59555f53da618416"},"schema_version":"1.0","source":{"id":"1101.3331","kind":"arxiv","version":2}},"canonical_sha256":"cd060f85c8d7d3973dde5155a6677911597d7b0cf142e9f1df7f81cec930d41e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd060f85c8d7d3973dde5155a6677911597d7b0cf142e9f1df7f81cec930d41e","first_computed_at":"2026-05-18T02:22:51.899304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:51.899304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ntz/eK5gp8vOBG6pAnQ8ZBv3PXHS+uwm9ve8VAFPOnGSlGziU62xJvyKyA36GuVVSVSST3JCAXTemB97dy2CCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:51.899776Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.3331","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b9d5655de19e08918f947fed27c89addce92f9f73a9e1130d226f5a737fcef7","sha256:8a9b4482f7fa7642caba54f554c12892962db9a56cf764e9be0d3f24a23c56bf"],"state_sha256":"7c9188bebe616972ad25a12d06a792594ba225cf9e0e7a3074b823a217fcc0ab"}