{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:35OYFLS34RECSI7BSVPNFUSE4X","short_pith_number":"pith:35OYFLS3","schema_version":"1.0","canonical_sha256":"df5d82ae5be4482923e1955ed2d244e5ca3ee83cb539b8d287ffe5fd6e169db8","source":{"kind":"arxiv","id":"gr-qc/0201045","version":1},"attestation_state":"computed","paper":{"title":"Axial symmetry and conformal Killing vectors","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jose M.M. Senovilla, Marc Mars","submitted_at":"2002-01-14T19:44:17Z","abstract_excerpt":"Axisymmetric spacetimes with a conformal symmetry are studied and it is shown that, if there is no further conformal symmetry, the axial Killing vector and the conformal Killing vector must commute. As a direct consequence, in conformally stationary and axisymmetric spacetimes, no restriction is made by assuming that the axial symmetry and the conformal timelike symmetry commute. Furthermore, we prove that in axisymmetric spacetimes with another symmetry (such as stationary and axisymmetric or cylindrically symmetric spacetimes) and a conformal symmetry, the commutator of the axial Killing vec"},"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/0201045","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-01-14T19:44:17Z","cross_cats_sorted":[],"title_canon_sha256":"3a87ac7a89510454d82a6c034aee585bbe9d16f245d8ec2e49b47033b2fdeb97","abstract_canon_sha256":"f677c378cafc0d6c5a2db8e54683bee8302df2b388d69c7ad351b317e52c9893"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:25:19.318143Z","signature_b64":"3n1jayGoRDG5edkPuGF+Jre2udClIEwfnn4QfqRMsXCrZXASHw4KQ6DmZz67PWBP6dtuVUi/I8iYGl2F/a+aAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df5d82ae5be4482923e1955ed2d244e5ca3ee83cb539b8d287ffe5fd6e169db8","last_reissued_at":"2026-07-04T17:25:19.317740Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:25:19.317740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Axial symmetry and conformal Killing vectors","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jose M.M. Senovilla, Marc Mars","submitted_at":"2002-01-14T19:44:17Z","abstract_excerpt":"Axisymmetric spacetimes with a conformal symmetry are studied and it is shown that, if there is no further conformal symmetry, the axial Killing vector and the conformal Killing vector must commute. As a direct consequence, in conformally stationary and axisymmetric spacetimes, no restriction is made by assuming that the axial symmetry and the conformal timelike symmetry commute. Furthermore, we prove that in axisymmetric spacetimes with another symmetry (such as stationary and axisymmetric or cylindrically symmetric spacetimes) and a conformal symmetry, the commutator of the axial Killing vec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0201045","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0201045/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/0201045","created_at":"2026-07-04T17:25:19.317806+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0201045v1","created_at":"2026-07-04T17:25:19.317806+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0201045","created_at":"2026-07-04T17:25:19.317806+00:00"},{"alias_kind":"pith_short_12","alias_value":"35OYFLS34REC","created_at":"2026-07-04T17:25:19.317806+00:00"},{"alias_kind":"pith_short_16","alias_value":"35OYFLS34RECSI7B","created_at":"2026-07-04T17:25:19.317806+00:00"},{"alias_kind":"pith_short_8","alias_value":"35OYFLS3","created_at":"2026-07-04T17:25:19.317806+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.17784","citing_title":"Quasi-topological gravity for 4-dimensional Taub-NUT, near-horizon extreme Kerr, and swirling symmetries","ref_index":85,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/35OYFLS34RECSI7BSVPNFUSE4X","json":"https://pith.science/pith/35OYFLS34RECSI7BSVPNFUSE4X.json","graph_json":"https://pith.science/api/pith-number/35OYFLS34RECSI7BSVPNFUSE4X/graph.json","events_json":"https://pith.science/api/pith-number/35OYFLS34RECSI7BSVPNFUSE4X/events.json","paper":"https://pith.science/paper/35OYFLS3"},"agent_actions":{"view_html":"https://pith.science/pith/35OYFLS34RECSI7BSVPNFUSE4X","download_json":"https://pith.science/pith/35OYFLS34RECSI7BSVPNFUSE4X.json","view_paper":"https://pith.science/paper/35OYFLS3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0201045&json=true","fetch_graph":"https://pith.science/api/pith-number/35OYFLS34RECSI7BSVPNFUSE4X/graph.json","fetch_events":"https://pith.science/api/pith-number/35OYFLS34RECSI7BSVPNFUSE4X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/35OYFLS34RECSI7BSVPNFUSE4X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/35OYFLS34RECSI7BSVPNFUSE4X/action/storage_attestation","attest_author":"https://pith.science/pith/35OYFLS34RECSI7BSVPNFUSE4X/action/author_attestation","sign_citation":"https://pith.science/pith/35OYFLS34RECSI7BSVPNFUSE4X/action/citation_signature","submit_replication":"https://pith.science/pith/35OYFLS34RECSI7BSVPNFUSE4X/action/replication_record"}},"created_at":"2026-07-04T17:25:19.317806+00:00","updated_at":"2026-07-04T17:25:19.317806+00:00"}