{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:7AI4VFFE22WUE3M73RIHX25EIB","short_pith_number":"pith:7AI4VFFE","schema_version":"1.0","canonical_sha256":"f811ca94a4d6ad426d9fdc507beba4404431466d6e49ba969d4395d710594d8b","source":{"kind":"arxiv","id":"gr-qc/0702054","version":2},"attestation_state":"computed","paper":{"title":"Adiabatic Evolution of three 'Constants' of Motion for Greatly Inclined Orbits in Kerr spacetime","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hiroyuki Nakano, Katsuhiko Ganz, Norichika Sago, Takahiro Tanaka, Wataru Hikida","submitted_at":"2007-02-09T01:33:24Z","abstract_excerpt":"General orbits of a particle of small mass $\\mu$ around a Kerr black hole of mass $M$ are characterized by three parameters: the energy, the angular momentum and the Carter constant. The time-averaged rates of change of the energy and the angular momentum can be obtained by computing the corresponding fluxes of gravitational waves emitted by the particle. By contrast, the time-averaged rate of change of the Carter constant cannot be expressed as a flux of gravitational waves. Recently a method to compute this rate of change was proposed by Mino, and we refined it into a simplified form. In thi"},"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/0702054","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-02-09T01:33:24Z","cross_cats_sorted":[],"title_canon_sha256":"8218989c31b388937a9148295a2a2f9dc06e6cece2cd5abdc8644efe220c33ad","abstract_canon_sha256":"fb6a8a1316b092f92cc66f99f639a44922caf44bc527a57709df2490b0151bc6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:21.674367Z","signature_b64":"ISnH4ByzZM/S2TP2sHJa5aZ3pu/PfNnqQrahEvz8Zm6Aey4h5rQtRx4ZZjVYUjrwhMBMkCyMZc9tQ1t00G1GBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f811ca94a4d6ad426d9fdc507beba4404431466d6e49ba969d4395d710594d8b","last_reissued_at":"2026-05-18T04:16:21.673734Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:21.673734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Adiabatic Evolution of three 'Constants' of Motion for Greatly Inclined Orbits in Kerr spacetime","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hiroyuki Nakano, Katsuhiko Ganz, Norichika Sago, Takahiro Tanaka, Wataru Hikida","submitted_at":"2007-02-09T01:33:24Z","abstract_excerpt":"General orbits of a particle of small mass $\\mu$ around a Kerr black hole of mass $M$ are characterized by three parameters: the energy, the angular momentum and the Carter constant. The time-averaged rates of change of the energy and the angular momentum can be obtained by computing the corresponding fluxes of gravitational waves emitted by the particle. By contrast, the time-averaged rate of change of the Carter constant cannot be expressed as a flux of gravitational waves. Recently a method to compute this rate of change was proposed by Mino, and we refined it into a simplified form. In thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0702054","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0702054","created_at":"2026-05-18T04:16:21.673833+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0702054v2","created_at":"2026-05-18T04:16:21.673833+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0702054","created_at":"2026-05-18T04:16:21.673833+00:00"},{"alias_kind":"pith_short_12","alias_value":"7AI4VFFE22WU","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"7AI4VFFE22WUE3M7","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"7AI4VFFE","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/7AI4VFFE22WUE3M73RIHX25EIB","json":"https://pith.science/pith/7AI4VFFE22WUE3M73RIHX25EIB.json","graph_json":"https://pith.science/api/pith-number/7AI4VFFE22WUE3M73RIHX25EIB/graph.json","events_json":"https://pith.science/api/pith-number/7AI4VFFE22WUE3M73RIHX25EIB/events.json","paper":"https://pith.science/paper/7AI4VFFE"},"agent_actions":{"view_html":"https://pith.science/pith/7AI4VFFE22WUE3M73RIHX25EIB","download_json":"https://pith.science/pith/7AI4VFFE22WUE3M73RIHX25EIB.json","view_paper":"https://pith.science/paper/7AI4VFFE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0702054&json=true","fetch_graph":"https://pith.science/api/pith-number/7AI4VFFE22WUE3M73RIHX25EIB/graph.json","fetch_events":"https://pith.science/api/pith-number/7AI4VFFE22WUE3M73RIHX25EIB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7AI4VFFE22WUE3M73RIHX25EIB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7AI4VFFE22WUE3M73RIHX25EIB/action/storage_attestation","attest_author":"https://pith.science/pith/7AI4VFFE22WUE3M73RIHX25EIB/action/author_attestation","sign_citation":"https://pith.science/pith/7AI4VFFE22WUE3M73RIHX25EIB/action/citation_signature","submit_replication":"https://pith.science/pith/7AI4VFFE22WUE3M73RIHX25EIB/action/replication_record"}},"created_at":"2026-05-18T04:16:21.673833+00:00","updated_at":"2026-05-18T04:16:21.673833+00:00"}