{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DBFYCL65JTUCQZMFDRXKWFOPPW","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":"bde61df615baed6015e2a66aba1727737dab7b1466ea5fda1cc130909ce77898","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-21T17:06:02Z","title_canon_sha256":"5d57c0726dc05e883d890d2f6f8988c6e770c06d1291c810277ab5144bd8638e"},"schema_version":"1.0","source":{"id":"1305.4884","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4884","created_at":"2026-05-18T01:49:48Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4884v1","created_at":"2026-05-18T01:49:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4884","created_at":"2026-05-18T01:49:48Z"},{"alias_kind":"pith_short_12","alias_value":"DBFYCL65JTUC","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"DBFYCL65JTUCQZMF","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"DBFYCL65","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:5b8d90b6b80ec2b9498c2d531bbeb03048546bee3dac1d417e02f2fb6f336c22","target":"graph","created_at":"2026-05-18T01:49:48Z","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":"We complete the analytical determination, at the 4th post-Newtonian approximation, of the main radial potential describing the gravitational interaction of two bodies within the effective one-body formalism. The (non logarithmic) coefficient a_5 (nu) measuring this 4th post-Newtonian interaction potential is found to be linear in the symmetric mass ratio nu. Its nu-independent part a_5 (0) is obtained by an analytical gravitational self-force calculation that unambiguously resolves the formal infrared divergencies which currently impede its direct post-Newtonian calculation. Its nu-linear part","authors_text":"Donato Bini, Thibault Damour","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-21T17:06:02Z","title":"Analytical determination of the two-body gravitational interaction potential at the 4th post-Newtonian approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4884","kind":"arxiv","version":1},"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":"sha256:9606177bc9dbbb72bb65324ac91bf5898a8c2f4d90eb4bba07e78ab3d4f6b272","target":"record","created_at":"2026-05-18T01:49:48Z","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":"bde61df615baed6015e2a66aba1727737dab7b1466ea5fda1cc130909ce77898","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-21T17:06:02Z","title_canon_sha256":"5d57c0726dc05e883d890d2f6f8988c6e770c06d1291c810277ab5144bd8638e"},"schema_version":"1.0","source":{"id":"1305.4884","kind":"arxiv","version":1}},"canonical_sha256":"184b812fdd4ce82865851c6eab15cf7d8c8e9ce08ae24718aeaf31d53eb24ce8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"184b812fdd4ce82865851c6eab15cf7d8c8e9ce08ae24718aeaf31d53eb24ce8","first_computed_at":"2026-05-18T01:49:48.321486Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:48.321486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gPn6Ttof+gYwVD9pAr0PrHYD4nFvMX/zefbI5r2ld5HUvDIeYbVud+0hIvS4T6SrY1L+1A9n7WZusQK39vm+DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:48.322116Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4884","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9606177bc9dbbb72bb65324ac91bf5898a8c2f4d90eb4bba07e78ab3d4f6b272","sha256:5b8d90b6b80ec2b9498c2d531bbeb03048546bee3dac1d417e02f2fb6f336c22"],"state_sha256":"87f57c63b4eacc999952a10a4493920d43f34d9c3c791af17ee126b5c2ca7dad"}