{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:C5FGH24YQNG53O4HN5XQQMVUXY","short_pith_number":"pith:C5FGH24Y","schema_version":"1.0","canonical_sha256":"174a63eb98834dddbb876f6f0832b4be2bee5940e17da9d688063ad6634a975f","source":{"kind":"arxiv","id":"gr-qc/0407036","version":1},"attestation_state":"computed","paper":{"title":"Deriving formulations for numerical computation of binary neutron stars in quasicircular orbits","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"John L. Friedman, Koji Uryu, Masaru Shibata","submitted_at":"2004-07-09T02:21:38Z","abstract_excerpt":"Two relations, the virial relation $M_{\\rm ADM}=M_{\\rm K}$ and the first law in the form $\\delta M_{\\rm ADM}=\\Omega \\delta J$, should be satisfied by a solution and a sequence of solutions describing binary compact objects in quasiequilibrium circular orbits. Here, $M_{\\rm ADM}$, $M_{\\rm K}$, $J$, and $\\Omega$ are the ADM mass, Komar mass, angular momentum, and orbital angular velocity, respectively. $\\delta$ denotes an Eulerian variation. These two conditions restrict the allowed formulations that we may adopt. First, we derive relations between $M_{\\rm ADM}$ and $M_{\\rm K}$ and between $\\del"},"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/0407036","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-07-09T02:21:38Z","cross_cats_sorted":[],"title_canon_sha256":"906dea4c2aead5fbf5360e754dd8500c3d8d5daacde47d0a81d5658ad9dabcf7","abstract_canon_sha256":"70f6cb26ec8823941477533b5962057e260bbb938b9d4c89d1b7e29eb0b0f3d6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:30.030526Z","signature_b64":"wzCWOnBjDuyllyiRu48v7MPZmwpEvL3x5o9gs7dKWtqPbXY6jKs+4ckWO13MT77kexc4vSufYBaLaWuJ/ZbCBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"174a63eb98834dddbb876f6f0832b4be2bee5940e17da9d688063ad6634a975f","last_reissued_at":"2026-05-18T02:37:30.030082Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:30.030082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deriving formulations for numerical computation of binary neutron stars in quasicircular orbits","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"John L. Friedman, Koji Uryu, Masaru Shibata","submitted_at":"2004-07-09T02:21:38Z","abstract_excerpt":"Two relations, the virial relation $M_{\\rm ADM}=M_{\\rm K}$ and the first law in the form $\\delta M_{\\rm ADM}=\\Omega \\delta J$, should be satisfied by a solution and a sequence of solutions describing binary compact objects in quasiequilibrium circular orbits. Here, $M_{\\rm ADM}$, $M_{\\rm K}$, $J$, and $\\Omega$ are the ADM mass, Komar mass, angular momentum, and orbital angular velocity, respectively. $\\delta$ denotes an Eulerian variation. These two conditions restrict the allowed formulations that we may adopt. First, we derive relations between $M_{\\rm ADM}$ and $M_{\\rm K}$ and between $\\del"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0407036","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0407036","created_at":"2026-05-18T02:37:30.030143+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0407036v1","created_at":"2026-05-18T02:37:30.030143+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0407036","created_at":"2026-05-18T02:37:30.030143+00:00"},{"alias_kind":"pith_short_12","alias_value":"C5FGH24YQNG5","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"C5FGH24YQNG53O4H","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"C5FGH24Y","created_at":"2026-05-18T12:25:52.051335+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.06441","citing_title":"Starting inflation in asymptotically flat spacetimes","ref_index":38,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/C5FGH24YQNG53O4HN5XQQMVUXY","json":"https://pith.science/pith/C5FGH24YQNG53O4HN5XQQMVUXY.json","graph_json":"https://pith.science/api/pith-number/C5FGH24YQNG53O4HN5XQQMVUXY/graph.json","events_json":"https://pith.science/api/pith-number/C5FGH24YQNG53O4HN5XQQMVUXY/events.json","paper":"https://pith.science/paper/C5FGH24Y"},"agent_actions":{"view_html":"https://pith.science/pith/C5FGH24YQNG53O4HN5XQQMVUXY","download_json":"https://pith.science/pith/C5FGH24YQNG53O4HN5XQQMVUXY.json","view_paper":"https://pith.science/paper/C5FGH24Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0407036&json=true","fetch_graph":"https://pith.science/api/pith-number/C5FGH24YQNG53O4HN5XQQMVUXY/graph.json","fetch_events":"https://pith.science/api/pith-number/C5FGH24YQNG53O4HN5XQQMVUXY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C5FGH24YQNG53O4HN5XQQMVUXY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C5FGH24YQNG53O4HN5XQQMVUXY/action/storage_attestation","attest_author":"https://pith.science/pith/C5FGH24YQNG53O4HN5XQQMVUXY/action/author_attestation","sign_citation":"https://pith.science/pith/C5FGH24YQNG53O4HN5XQQMVUXY/action/citation_signature","submit_replication":"https://pith.science/pith/C5FGH24YQNG53O4HN5XQQMVUXY/action/replication_record"}},"created_at":"2026-05-18T02:37:30.030143+00:00","updated_at":"2026-05-18T02:37:30.030143+00:00"}