{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UZXCP5G3ZDOICYHQJEGSDKP346","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":"5548ef63cd18a65667f7e5c76e340d898a8b20f514b4db089ce3b0cb8982c0a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-29T17:55:28Z","title_canon_sha256":"1a5068ae486267cae318bd1666e32e604ece0dfded91076e7542398ac34253c0"},"schema_version":"1.0","source":{"id":"1206.7087","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.7087","created_at":"2026-05-18T03:31:17Z"},{"alias_kind":"arxiv_version","alias_value":"1206.7087v2","created_at":"2026-05-18T03:31:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.7087","created_at":"2026-05-18T03:31:17Z"},{"alias_kind":"pith_short_12","alias_value":"UZXCP5G3ZDOI","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"UZXCP5G3ZDOICYHQ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"UZXCP5G3","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:60dcc7e58be07ebc5622349d20726dd17c2217b58a4276be6bbe5e5579ec6c5f","target":"graph","created_at":"2026-05-18T03:31:17Z","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 derive the conservative part of the Lagrangian and the energy of a gravitationally bound two-body system at fourth post-Newtonian order, up to terms quadratic in the Newton constant. We also show that such terms are compatible with Lorentz invariance and we write an ansatz for the center-of-mass position. The remaining terms carrying higher powers of the Newton constant are currently under investigation.","authors_text":"Riccardo Sturani, Stefano Foffa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-29T17:55:28Z","title":"The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.7087","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:e8a79bcb6b13aa0deea4619857590d7073658e5535853edc035a3d960d689d47","target":"record","created_at":"2026-05-18T03:31:17Z","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":"5548ef63cd18a65667f7e5c76e340d898a8b20f514b4db089ce3b0cb8982c0a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-29T17:55:28Z","title_canon_sha256":"1a5068ae486267cae318bd1666e32e604ece0dfded91076e7542398ac34253c0"},"schema_version":"1.0","source":{"id":"1206.7087","kind":"arxiv","version":2}},"canonical_sha256":"a66e27f4dbc8dc8160f0490d21a9fbe7aaa720566d49faf2e3fb1b2e1add96f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a66e27f4dbc8dc8160f0490d21a9fbe7aaa720566d49faf2e3fb1b2e1add96f9","first_computed_at":"2026-05-18T03:31:17.590019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:17.590019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dDZgc1NIJe2g29gKVNjZMYB7XVgiAoj/DWvTb1ZY4N3jWEoEE75TQpFgyXPSbURhhtjWCvnpi3ZRX2aui+hiBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:17.590826Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.7087","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8a79bcb6b13aa0deea4619857590d7073658e5535853edc035a3d960d689d47","sha256:60dcc7e58be07ebc5622349d20726dd17c2217b58a4276be6bbe5e5579ec6c5f"],"state_sha256":"91e229d45142c99275af834afb761aa1720ba495126ecbc62b3dfeb541c4eabe"}