{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QO6SRB32A5K2GRWX66DB4K2QCT","short_pith_number":"pith:QO6SRB32","schema_version":"1.0","canonical_sha256":"83bd28877a0755a346d7f7861e2b5014ea3a2cffb7ef9058e8ffd08398e94e9c","source":{"kind":"arxiv","id":"1202.5228","version":2},"attestation_state":"computed","paper":{"title":"Constants of motion in stationary axisymmetric gravitational fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"astro-ph.SR","authors_text":"Charalampos Markakis","submitted_at":"2012-02-23T16:41:47Z","abstract_excerpt":"The motion of test particles in stationary axisymmetric gravitational fields is generally nonintegrable unless a nontrivial constant of motion, in addition to energy and angular momentum along the symmetry axis, exists. The Carter constant in Kerr-de Sitter spacetime is the only example known to date. Proposed astrophysical tests of the black-hole no-hair theorem have often involved integrable gravitational fields more general than the Kerr family, but the existence of such fields has been a matter of debate. To elucidate this problem, we treat its Newtonian analogue by systematically searchin"},"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":"1202.5228","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-02-23T16:41:47Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"540351a168d0d4e5cc94bc3ca111222a5e2a7f709435e33395d2ce8799ac55bf","abstract_canon_sha256":"f7f3c0c0b887300d2f22b927b72dfe86b72b85a4ec16b48a6651f18da80c7896"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:52.146344Z","signature_b64":"YP46rA/JgIbqdUTgbAh/6mAGG319HUtUPl2PK+HYUyh0OZKsIT/wyiAptZxQ2Tmm116o7h4y+g1vVnQvS+4MDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83bd28877a0755a346d7f7861e2b5014ea3a2cffb7ef9058e8ffd08398e94e9c","last_reissued_at":"2026-05-18T02:50:52.145883Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:52.145883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constants of motion in stationary axisymmetric gravitational fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"astro-ph.SR","authors_text":"Charalampos Markakis","submitted_at":"2012-02-23T16:41:47Z","abstract_excerpt":"The motion of test particles in stationary axisymmetric gravitational fields is generally nonintegrable unless a nontrivial constant of motion, in addition to energy and angular momentum along the symmetry axis, exists. The Carter constant in Kerr-de Sitter spacetime is the only example known to date. Proposed astrophysical tests of the black-hole no-hair theorem have often involved integrable gravitational fields more general than the Kerr family, but the existence of such fields has been a matter of debate. To elucidate this problem, we treat its Newtonian analogue by systematically searchin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5228","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":"1202.5228","created_at":"2026-05-18T02:50:52.145947+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.5228v2","created_at":"2026-05-18T02:50:52.145947+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5228","created_at":"2026-05-18T02:50:52.145947+00:00"},{"alias_kind":"pith_short_12","alias_value":"QO6SRB32A5K2","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QO6SRB32A5K2GRWX","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QO6SRB32","created_at":"2026-05-18T12:27:18.751474+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/QO6SRB32A5K2GRWX66DB4K2QCT","json":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT.json","graph_json":"https://pith.science/api/pith-number/QO6SRB32A5K2GRWX66DB4K2QCT/graph.json","events_json":"https://pith.science/api/pith-number/QO6SRB32A5K2GRWX66DB4K2QCT/events.json","paper":"https://pith.science/paper/QO6SRB32"},"agent_actions":{"view_html":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT","download_json":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT.json","view_paper":"https://pith.science/paper/QO6SRB32","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.5228&json=true","fetch_graph":"https://pith.science/api/pith-number/QO6SRB32A5K2GRWX66DB4K2QCT/graph.json","fetch_events":"https://pith.science/api/pith-number/QO6SRB32A5K2GRWX66DB4K2QCT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT/action/storage_attestation","attest_author":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT/action/author_attestation","sign_citation":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT/action/citation_signature","submit_replication":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT/action/replication_record"}},"created_at":"2026-05-18T02:50:52.145947+00:00","updated_at":"2026-05-18T02:50:52.145947+00:00"}