{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:P7B6OWDJZ4NXY4FA3IUBO4BPKR","short_pith_number":"pith:P7B6OWDJ","schema_version":"1.0","canonical_sha256":"7fc3e75869cf1b7c70a0da2817702f547fc57c843054c23e865d20b8a438553d","source":{"kind":"arxiv","id":"gr-qc/0011063","version":2},"attestation_state":"computed","paper":{"title":"Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic-coordinate and ADM-Hamiltonian formalisms","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Guillaume Faye, Luc Blanchet, Vanessa de Andrade","submitted_at":"2000-11-18T18:34:30Z","abstract_excerpt":"A Lagrangian from which derive the third post-Newtonian (3PN) equations of motion of compact binaries (neglecting the radiation reaction damping) is obtained. The 3PN equations of motion were computed previously by Blanchet and Faye in harmonic coordinates. The Lagrangian depends on the harmonic-coordinate positions, velocities and accelerations of the two bodies. At the 3PN order, the appearance of one undetermined physical parameter \\lambda reflects an incompleteness of the point-mass regularization used when deriving the equations of motion. In addition the Lagrangian involves two unphysica"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"gr-qc/0011063","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2000-11-18T18:34:30Z","cross_cats_sorted":[],"title_canon_sha256":"9da6ac2894f27048c381e872bad0c6b3313b525421fe823cbafef6d053334af1","abstract_canon_sha256":"4909d008dc8cc84cc4989a8a28b0437f9018e720fc4191c221ba722184c0bbf0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:19:43.598051Z","signature_b64":"2VWsurqm6gvMVQalWcBjmHFoHnuUccGqSJjXuVQOpbM2JVNYpRksI9TykjR5i0hmWopGM2SnGLMv0SlusxFNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fc3e75869cf1b7c70a0da2817702f547fc57c843054c23e865d20b8a438553d","last_reissued_at":"2026-07-04T16:19:43.597681Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:19:43.597681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic-coordinate and ADM-Hamiltonian formalisms","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Guillaume Faye, Luc Blanchet, Vanessa de Andrade","submitted_at":"2000-11-18T18:34:30Z","abstract_excerpt":"A Lagrangian from which derive the third post-Newtonian (3PN) equations of motion of compact binaries (neglecting the radiation reaction damping) is obtained. The 3PN equations of motion were computed previously by Blanchet and Faye in harmonic coordinates. The Lagrangian depends on the harmonic-coordinate positions, velocities and accelerations of the two bodies. At the 3PN order, the appearance of one undetermined physical parameter \\lambda reflects an incompleteness of the point-mass regularization used when deriving the equations of motion. In addition the Lagrangian involves two unphysica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0011063","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0011063/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0011063","created_at":"2026-07-04T16:19:43.597740+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0011063v2","created_at":"2026-07-04T16:19:43.597740+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0011063","created_at":"2026-07-04T16:19:43.597740+00:00"},{"alias_kind":"pith_short_12","alias_value":"P7B6OWDJZ4NX","created_at":"2026-07-04T16:19:43.597740+00:00"},{"alias_kind":"pith_short_16","alias_value":"P7B6OWDJZ4NXY4FA","created_at":"2026-07-04T16:19:43.597740+00:00"},{"alias_kind":"pith_short_8","alias_value":"P7B6OWDJ","created_at":"2026-07-04T16:19:43.597740+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2310.19679","citing_title":"Tidal effects up to next-to-next-to leading post-Newtonian order in massless scalar-tensor theories","ref_index":49,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P7B6OWDJZ4NXY4FA3IUBO4BPKR","json":"https://pith.science/pith/P7B6OWDJZ4NXY4FA3IUBO4BPKR.json","graph_json":"https://pith.science/api/pith-number/P7B6OWDJZ4NXY4FA3IUBO4BPKR/graph.json","events_json":"https://pith.science/api/pith-number/P7B6OWDJZ4NXY4FA3IUBO4BPKR/events.json","paper":"https://pith.science/paper/P7B6OWDJ"},"agent_actions":{"view_html":"https://pith.science/pith/P7B6OWDJZ4NXY4FA3IUBO4BPKR","download_json":"https://pith.science/pith/P7B6OWDJZ4NXY4FA3IUBO4BPKR.json","view_paper":"https://pith.science/paper/P7B6OWDJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0011063&json=true","fetch_graph":"https://pith.science/api/pith-number/P7B6OWDJZ4NXY4FA3IUBO4BPKR/graph.json","fetch_events":"https://pith.science/api/pith-number/P7B6OWDJZ4NXY4FA3IUBO4BPKR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P7B6OWDJZ4NXY4FA3IUBO4BPKR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P7B6OWDJZ4NXY4FA3IUBO4BPKR/action/storage_attestation","attest_author":"https://pith.science/pith/P7B6OWDJZ4NXY4FA3IUBO4BPKR/action/author_attestation","sign_citation":"https://pith.science/pith/P7B6OWDJZ4NXY4FA3IUBO4BPKR/action/citation_signature","submit_replication":"https://pith.science/pith/P7B6OWDJZ4NXY4FA3IUBO4BPKR/action/replication_record"}},"created_at":"2026-07-04T16:19:43.597740+00:00","updated_at":"2026-07-04T16:19:43.597740+00:00"}