{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:QO6SRB32A5K2GRWX66DB4K2QCT","short_pith_number":"pith:QO6SRB32","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"},"canonical_sha256":"83bd28877a0755a346d7f7861e2b5014ea3a2cffb7ef9058e8ffd08398e94e9c","source":{"kind":"arxiv","id":"1202.5228","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5228","created_at":"2026-05-18T02:50:52Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5228v2","created_at":"2026-05-18T02:50:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5228","created_at":"2026-05-18T02:50:52Z"},{"alias_kind":"pith_short_12","alias_value":"QO6SRB32A5K2","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QO6SRB32A5K2GRWX","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QO6SRB32","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:QO6SRB32A5K2GRWX66DB4K2QCT","target":"record","payload":{"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"},"canonical_sha256":"83bd28877a0755a346d7f7861e2b5014ea3a2cffb7ef9058e8ffd08398e94e9c","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"},"source_kind":"arxiv","source_id":"1202.5228","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:50:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VnlEsbdOW9ooP3CnnvlDv+CMQYvMhfKmv1LCagkoSeELwZIdzV7o11tKhfTPReoNPN00SMk3zyA/kck595stDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:32:55.901985Z"},"content_sha256":"c6f64300b6313f938e1e48233f6ddae2be8f1aaef50f5085a6bd366cfe28321c","schema_version":"1.0","event_id":"sha256:c6f64300b6313f938e1e48233f6ddae2be8f1aaef50f5085a6bd366cfe28321c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:QO6SRB32A5K2GRWX66DB4K2QCT","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:50:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kzQcS8t2BwUKTlTZ/Eq1/PQf/A72mi1CFz3vgiW/TC5NzLn9u8kyq4BnRNU0RNm40LO3kvq7l56N7xuXGfnSAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:32:55.902347Z"},"content_sha256":"f5b3ab910641283e8771c124b0e7501e2afe9f8b862f8ca558bdac22a4f6eda3","schema_version":"1.0","event_id":"sha256:f5b3ab910641283e8771c124b0e7501e2afe9f8b862f8ca558bdac22a4f6eda3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT/bundle.json","state_url":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QO6SRB32A5K2GRWX66DB4K2QCT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T15:32:55Z","links":{"resolver":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT","bundle":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT/bundle.json","state":"https://pith.science/pith/QO6SRB32A5K2GRWX66DB4K2QCT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QO6SRB32A5K2GRWX66DB4K2QCT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QO6SRB32A5K2GRWX66DB4K2QCT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f7f3c0c0b887300d2f22b927b72dfe86b72b85a4ec16b48a6651f18da80c7896","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-02-23T16:41:47Z","title_canon_sha256":"540351a168d0d4e5cc94bc3ca111222a5e2a7f709435e33395d2ce8799ac55bf"},"schema_version":"1.0","source":{"id":"1202.5228","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5228","created_at":"2026-05-18T02:50:52Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5228v2","created_at":"2026-05-18T02:50:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5228","created_at":"2026-05-18T02:50:52Z"},{"alias_kind":"pith_short_12","alias_value":"QO6SRB32A5K2","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QO6SRB32A5K2GRWX","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QO6SRB32","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:f5b3ab910641283e8771c124b0e7501e2afe9f8b862f8ca558bdac22a4f6eda3","target":"graph","created_at":"2026-05-18T02:50:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Charalampos Markakis","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-02-23T16:41:47Z","title":"Constants of motion in stationary axisymmetric gravitational fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5228","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c6f64300b6313f938e1e48233f6ddae2be8f1aaef50f5085a6bd366cfe28321c","target":"record","created_at":"2026-05-18T02:50:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f7f3c0c0b887300d2f22b927b72dfe86b72b85a4ec16b48a6651f18da80c7896","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-02-23T16:41:47Z","title_canon_sha256":"540351a168d0d4e5cc94bc3ca111222a5e2a7f709435e33395d2ce8799ac55bf"},"schema_version":"1.0","source":{"id":"1202.5228","kind":"arxiv","version":2}},"canonical_sha256":"83bd28877a0755a346d7f7861e2b5014ea3a2cffb7ef9058e8ffd08398e94e9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83bd28877a0755a346d7f7861e2b5014ea3a2cffb7ef9058e8ffd08398e94e9c","first_computed_at":"2026-05-18T02:50:52.145883Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:52.145883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YP46rA/JgIbqdUTgbAh/6mAGG319HUtUPl2PK+HYUyh0OZKsIT/wyiAptZxQ2Tmm116o7h4y+g1vVnQvS+4MDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:52.146344Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5228","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6f64300b6313f938e1e48233f6ddae2be8f1aaef50f5085a6bd366cfe28321c","sha256:f5b3ab910641283e8771c124b0e7501e2afe9f8b862f8ca558bdac22a4f6eda3"],"state_sha256":"88460029c185de13d590c2434117ba248e07f39bf3724798f4804996cfd94de7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q6J2OQTfg/ENeuRzmmTHnEYoXnciLTWFqTAVp4zj+MHDKBL1jnDlDrw4HP7mnkvrn7GTdn/23ih59/6G5HlCDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:32:55.904275Z","bundle_sha256":"476c56dba0f363f3a2a3f9f08660026ff9fbfcbe5b0df4cedd12197a276d0bff"}}