{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YLYVH47DBRRR3IEE36HHG7XO7T","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":"c146226acbc447675905bd570cd89dfc8c97cfef4de23903a85c420dc3296817","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-14T18:00:05Z","title_canon_sha256":"20b40333ea82fb23232f0a550e6493f242bb4dea72c967916ec87089ae9c17c6"},"schema_version":"1.0","source":{"id":"2406.10343","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.10343","created_at":"2026-07-05T10:46:37Z"},{"alias_kind":"arxiv_version","alias_value":"2406.10343v4","created_at":"2026-07-05T10:46:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.10343","created_at":"2026-07-05T10:46:37Z"},{"alias_kind":"pith_short_12","alias_value":"YLYVH47DBRRR","created_at":"2026-07-05T10:46:37Z"},{"alias_kind":"pith_short_16","alias_value":"YLYVH47DBRRR3IEE","created_at":"2026-07-05T10:46:37Z"},{"alias_kind":"pith_short_8","alias_value":"YLYVH47D","created_at":"2026-07-05T10:46:37Z"}],"graph_snapshots":[{"event_id":"sha256:b1f3c9a4a1f9d314a69d29e18e14a6d371ba4f7bb8750ac6bb803047137f8a2e","target":"graph","created_at":"2026-07-05T10:46:37Z","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/2406.10343/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The motion of an extended, but still weakly gravitating body in general relativity can often be determined by a set of conserved quantities. Much like for geodesic motion, a sufficient number of conserved quantities allows the motion to be solved by quadrature. Under the gravitational self-force (relaxing the \"weakly gravitating\" assumption), the motion can then be described in terms of the evolution these \"conserved quantities\". This evolution can be calculated using the (local) self-force on the body, but such an approach is computationally intensive. To avoid this, one often uses flux-balan","authors_text":"Alexander M. Grant","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-14T18:00:05Z","title":"Flux-balance laws for spinning bodies under the gravitational self-force"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.10343","kind":"arxiv","version":4},"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":"sha256:32947874bf76410cfc2f0a64cc639cf5f74f68e0b9abd16a487a064e4c6f72f1","target":"record","created_at":"2026-07-05T10:46:37Z","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":"c146226acbc447675905bd570cd89dfc8c97cfef4de23903a85c420dc3296817","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-14T18:00:05Z","title_canon_sha256":"20b40333ea82fb23232f0a550e6493f242bb4dea72c967916ec87089ae9c17c6"},"schema_version":"1.0","source":{"id":"2406.10343","kind":"arxiv","version":4}},"canonical_sha256":"c2f153f3e30c631da084df8e737eeefcfeac4327547db9c53687664346585d79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2f153f3e30c631da084df8e737eeefcfeac4327547db9c53687664346585d79","first_computed_at":"2026-07-05T10:46:37.497980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:46:37.497980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"56B+zQpo0Tmdi4vyw3hN/42NjzDqC/CSgHHJ/TacuSha/T1SgiNyhWZWK+Bkllshhij3yJqMqp7mL18JlclMBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:46:37.498468Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.10343","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32947874bf76410cfc2f0a64cc639cf5f74f68e0b9abd16a487a064e4c6f72f1","sha256:b1f3c9a4a1f9d314a69d29e18e14a6d371ba4f7bb8750ac6bb803047137f8a2e"],"state_sha256":"799028f25212e8986600086b692b89955963cce70485615d11a7de77abb0cae1"}