{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GL2DAFR6NIC7IGFQX3HEOFF3CG","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":"e10fe852ace3249f93e8939038d2735e279535342e609f4288dd94b3df5aa2c7","cross_cats_sorted":["astro-ph.EP","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-03T08:00:02Z","title_canon_sha256":"3cd30027c33ba72ba05ccbf64080a3e82747c6db535dc1b31bb14b946b1378df"},"schema_version":"1.0","source":{"id":"1212.0754","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0754","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0754v1","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0754","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"pith_short_12","alias_value":"GL2DAFR6NIC7","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GL2DAFR6NIC7IGFQ","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GL2DAFR6","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:1ca6f83718fd818c055e9aebea75c1dd371770041b651450123375e0a0d8217e","target":"graph","created_at":"2026-05-18T01:52:47Z","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":"Continuing work initiated in an earlier publication [Ichita, Yamada and Asada, Phys. Rev. D 83, 084026 (2011)], we reexamine the post-Newtonian effects on Lagrange's equilateral triangular solution for the three-body problem. For three finite masses, it is found that a triangular configuration satisfies the post-Newtonian equation of motion in general relativity, if and only if it has the relativistic corrections to each side length. This post-Newtonian configuration for three finite masses is not always equilateral and it recovers previous results for the restricted three-body problem when on","authors_text":"Hideki Asada, Kei Yamada","cross_cats":["astro-ph.EP","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-03T08:00:02Z","title":"Triangular solution to general relativistic three-body problem for general masses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0754","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:d3f172b4b14da9c72688f119b895feacd371b7ce91882d14df3f29193fcd687f","target":"record","created_at":"2026-05-18T01:52:47Z","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":"e10fe852ace3249f93e8939038d2735e279535342e609f4288dd94b3df5aa2c7","cross_cats_sorted":["astro-ph.EP","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-03T08:00:02Z","title_canon_sha256":"3cd30027c33ba72ba05ccbf64080a3e82747c6db535dc1b31bb14b946b1378df"},"schema_version":"1.0","source":{"id":"1212.0754","kind":"arxiv","version":1}},"canonical_sha256":"32f430163e6a05f418b0bece4714bb119f94bbca520c6f692e98af9169ed6a32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32f430163e6a05f418b0bece4714bb119f94bbca520c6f692e98af9169ed6a32","first_computed_at":"2026-05-18T01:52:47.872272Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:47.872272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eowLa0mxXFAiUclFnQg/dyKmWnPKFc2JbarDXJ4cpDxVLcNAdhcxY8VDTCedS1f49vJ+hpQ51dzJiRBv1TOnAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:47.872675Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.0754","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3f172b4b14da9c72688f119b895feacd371b7ce91882d14df3f29193fcd687f","sha256:1ca6f83718fd818c055e9aebea75c1dd371770041b651450123375e0a0d8217e"],"state_sha256":"a938208451be4a844ff5369435c8edd5bfc003d8a6fc9de288647dfed16899ec"}