{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:45ICNHOQPKY4WBBYLQJWOUPRTP","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":"ac593d552ff4ba9234ce8c905505967522eb67aaaaa0da9c471671dda2032fe1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-30T19:17:48Z","title_canon_sha256":"69fe398325cc861ed583ea06f5bb2ca3675e92aec44884520fe345e2f33ca4e9"},"schema_version":"1.0","source":{"id":"1304.8122","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.8122","created_at":"2026-05-18T02:20:12Z"},{"alias_kind":"arxiv_version","alias_value":"1304.8122v3","created_at":"2026-05-18T02:20:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.8122","created_at":"2026-05-18T02:20:12Z"},{"alias_kind":"pith_short_12","alias_value":"45ICNHOQPKY4","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"45ICNHOQPKY4WBBY","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"45ICNHOQ","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:fc67d2b4f79845ac0a69d4ff83ee705e3185c7aea62b586d06df3253cd005251","target":"graph","created_at":"2026-05-18T02:20:12Z","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"},"paper":{"abstract_excerpt":"We present a new approach to describe the dynamics of an isolated, gravitationally bound astronomical $N$-body system in the weak field and slow-motion approximation of the general theory of relativity. Celestial bodies are described using an arbitrary energy-momentum tensor and assumed to possess any number of internal multipole moments. The solution of the gravitational field equations in any reference frame is presented as a sum of three terms: i) the inertial flat spacetime in that frame, ii) unperturbed solutions for each body in the system that is covariantly transformed to the coordinat","authors_text":"Slava G. Turyshev, Viktor T. Toth","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-30T19:17:48Z","title":"New perturbative method for solving the gravitational N-body problem in the general theory of relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.8122","kind":"arxiv","version":3},"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":"sha256:38ddf397a0e8927d20a4105fc9232a428f57b4081f36e675722525fe6667fd0c","target":"record","created_at":"2026-05-18T02:20:12Z","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":"ac593d552ff4ba9234ce8c905505967522eb67aaaaa0da9c471671dda2032fe1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-30T19:17:48Z","title_canon_sha256":"69fe398325cc861ed583ea06f5bb2ca3675e92aec44884520fe345e2f33ca4e9"},"schema_version":"1.0","source":{"id":"1304.8122","kind":"arxiv","version":3}},"canonical_sha256":"e750269dd07ab1cb04385c136751f19bc4df91a0cc7f25001d3f041c27e163ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e750269dd07ab1cb04385c136751f19bc4df91a0cc7f25001d3f041c27e163ec","first_computed_at":"2026-05-18T02:20:12.833572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:12.833572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9BETl8rkExDEgI2VN4IIHb/Y3gGu0i300SmPsJmsefvhU0JlaQbfiaBXvus6bIit3Gdua/JMMPOB+UK3XO3cCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:12.834149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.8122","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38ddf397a0e8927d20a4105fc9232a428f57b4081f36e675722525fe6667fd0c","sha256:fc67d2b4f79845ac0a69d4ff83ee705e3185c7aea62b586d06df3253cd005251"],"state_sha256":"cc16920030118b8f66f3d681dc8cacbc591a6ae06dedb096eee9d72740fd9180"}