{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:JIYYTDVSSEDXQ4OBHS3VQA2MAT","short_pith_number":"pith:JIYYTDVS","schema_version":"1.0","canonical_sha256":"4a31898eb291077871c13cb758034c04e3cf8e949b1ae38efb66c1d127d2de3f","source":{"kind":"arxiv","id":"0712.1515","version":4},"attestation_state":"computed","paper":{"title":"Higher-order-in-spin interaction Hamiltonians for binary black holes from source terms of Kerr geometry in approximate ADM coordinates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Gerhard Sch\\\"afer, Steven Hergt","submitted_at":"2007-12-10T15:46:03Z","abstract_excerpt":"The Kerr metric outside the ergosphere is transformed into ADM coordinates up to the orders $1/r^4$ and $a^2$, respectively in radial coordinate $r$ and reduced angular momentum variable $a$, starting from the Kerr solution in quasi-isotropic as well as harmonic coordinates. The distributional source terms for the approximate solution are calculated. To leading order in linear momenta, higher-order-in-spin interaction Hamiltonians for black-hole binaries are derived."},"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":"0712.1515","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2007-12-10T15:46:03Z","cross_cats_sorted":[],"title_canon_sha256":"5077f441053869e7d4d36233513ca0de57065235e0f7a6d0a7bab2bc3f09b22c","abstract_canon_sha256":"6d82b16fa57c9935443f0ad7e38fafb0749b36129d561be558f4aff90384e020"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:13.132322Z","signature_b64":"zBEHCWCzx8maK/EXE+XisKKmAEIpz2Vorq53Y0I41PhOWUd47UQuwBUYs0rK+cmLJ3IpgLDyF+if7y8IkDa6Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a31898eb291077871c13cb758034c04e3cf8e949b1ae38efb66c1d127d2de3f","last_reissued_at":"2026-05-18T03:57:13.131657Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:13.131657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Higher-order-in-spin interaction Hamiltonians for binary black holes from source terms of Kerr geometry in approximate ADM coordinates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Gerhard Sch\\\"afer, Steven Hergt","submitted_at":"2007-12-10T15:46:03Z","abstract_excerpt":"The Kerr metric outside the ergosphere is transformed into ADM coordinates up to the orders $1/r^4$ and $a^2$, respectively in radial coordinate $r$ and reduced angular momentum variable $a$, starting from the Kerr solution in quasi-isotropic as well as harmonic coordinates. The distributional source terms for the approximate solution are calculated. To leading order in linear momenta, higher-order-in-spin interaction Hamiltonians for black-hole binaries are derived."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.1515","kind":"arxiv","version":4},"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":"0712.1515","created_at":"2026-05-18T03:57:13.131762+00:00"},{"alias_kind":"arxiv_version","alias_value":"0712.1515v4","created_at":"2026-05-18T03:57:13.131762+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.1515","created_at":"2026-05-18T03:57:13.131762+00:00"},{"alias_kind":"pith_short_12","alias_value":"JIYYTDVSSEDX","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"JIYYTDVSSEDXQ4OB","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"JIYYTDVS","created_at":"2026-05-18T12:25:55.427421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JIYYTDVSSEDXQ4OBHS3VQA2MAT","json":"https://pith.science/pith/JIYYTDVSSEDXQ4OBHS3VQA2MAT.json","graph_json":"https://pith.science/api/pith-number/JIYYTDVSSEDXQ4OBHS3VQA2MAT/graph.json","events_json":"https://pith.science/api/pith-number/JIYYTDVSSEDXQ4OBHS3VQA2MAT/events.json","paper":"https://pith.science/paper/JIYYTDVS"},"agent_actions":{"view_html":"https://pith.science/pith/JIYYTDVSSEDXQ4OBHS3VQA2MAT","download_json":"https://pith.science/pith/JIYYTDVSSEDXQ4OBHS3VQA2MAT.json","view_paper":"https://pith.science/paper/JIYYTDVS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0712.1515&json=true","fetch_graph":"https://pith.science/api/pith-number/JIYYTDVSSEDXQ4OBHS3VQA2MAT/graph.json","fetch_events":"https://pith.science/api/pith-number/JIYYTDVSSEDXQ4OBHS3VQA2MAT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JIYYTDVSSEDXQ4OBHS3VQA2MAT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JIYYTDVSSEDXQ4OBHS3VQA2MAT/action/storage_attestation","attest_author":"https://pith.science/pith/JIYYTDVSSEDXQ4OBHS3VQA2MAT/action/author_attestation","sign_citation":"https://pith.science/pith/JIYYTDVSSEDXQ4OBHS3VQA2MAT/action/citation_signature","submit_replication":"https://pith.science/pith/JIYYTDVSSEDXQ4OBHS3VQA2MAT/action/replication_record"}},"created_at":"2026-05-18T03:57:13.131762+00:00","updated_at":"2026-05-18T03:57:13.131762+00:00"}