{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:UZXCP5G3ZDOICYHQJEGSDKP346","short_pith_number":"pith:UZXCP5G3","canonical_record":{"source":{"id":"1206.7087","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-29T17:55:28Z","cross_cats_sorted":[],"title_canon_sha256":"1a5068ae486267cae318bd1666e32e604ece0dfded91076e7542398ac34253c0","abstract_canon_sha256":"5548ef63cd18a65667f7e5c76e340d898a8b20f514b4db089ce3b0cb8982c0a9"},"schema_version":"1.0"},"canonical_sha256":"a66e27f4dbc8dc8160f0490d21a9fbe7aaa720566d49faf2e3fb1b2e1add96f9","source":{"kind":"arxiv","id":"1206.7087","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:UZXCP5G3ZDOICYHQJEGSDKP346","target":"record","payload":{"canonical_record":{"source":{"id":"1206.7087","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-29T17:55:28Z","cross_cats_sorted":[],"title_canon_sha256":"1a5068ae486267cae318bd1666e32e604ece0dfded91076e7542398ac34253c0","abstract_canon_sha256":"5548ef63cd18a65667f7e5c76e340d898a8b20f514b4db089ce3b0cb8982c0a9"},"schema_version":"1.0"},"canonical_sha256":"a66e27f4dbc8dc8160f0490d21a9fbe7aaa720566d49faf2e3fb1b2e1add96f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:17.590826Z","signature_b64":"dDZgc1NIJe2g29gKVNjZMYB7XVgiAoj/DWvTb1ZY4N3jWEoEE75TQpFgyXPSbURhhtjWCvnpi3ZRX2aui+hiBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a66e27f4dbc8dc8160f0490d21a9fbe7aaa720566d49faf2e3fb1b2e1add96f9","last_reissued_at":"2026-05-18T03:31:17.590019Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:17.590019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.7087","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:31:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a4g57MjsmxSFgkKurCsUBbjP0S8zacWYKp5Xl7hqtUr7d39GRMQJzMHqPlYqRlB90FZm+xgVpweY0UVVllRrDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T11:00:25.545534Z"},"content_sha256":"e8a79bcb6b13aa0deea4619857590d7073658e5535853edc035a3d960d689d47","schema_version":"1.0","event_id":"sha256:e8a79bcb6b13aa0deea4619857590d7073658e5535853edc035a3d960d689d47"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:UZXCP5G3ZDOICYHQJEGSDKP346","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Riccardo Sturani, Stefano Foffa","submitted_at":"2012-06-29T17:55:28Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.7087","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:31:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ZgCwqJxgexYKfyYsGUZDVBiANwfBu+fghin0trsCfrun7uk5camZKWgVfefOEofmoOx0i6DVwBzIrLZ/CxGCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T11:00:25.545874Z"},"content_sha256":"60dcc7e58be07ebc5622349d20726dd17c2217b58a4276be6bbe5e5579ec6c5f","schema_version":"1.0","event_id":"sha256:60dcc7e58be07ebc5622349d20726dd17c2217b58a4276be6bbe5e5579ec6c5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UZXCP5G3ZDOICYHQJEGSDKP346/bundle.json","state_url":"https://pith.science/pith/UZXCP5G3ZDOICYHQJEGSDKP346/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UZXCP5G3ZDOICYHQJEGSDKP346/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T11:00:25Z","links":{"resolver":"https://pith.science/pith/UZXCP5G3ZDOICYHQJEGSDKP346","bundle":"https://pith.science/pith/UZXCP5G3ZDOICYHQJEGSDKP346/bundle.json","state":"https://pith.science/pith/UZXCP5G3ZDOICYHQJEGSDKP346/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UZXCP5G3ZDOICYHQJEGSDKP346/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OCjMho52kiuLXQNtIi4NBNiVj15bRBzqjYd2wGsofOTMKw6eqQDxsnNgwmNIkXyAbACar648zeGVOYBoNdukAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T11:00:25.547763Z","bundle_sha256":"e0add0ca2c7abca2aabdbb6105f6b812a279530801328e701ad3d2ed238d896d"}}