{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:IR3QLFERFRJTZJN5HJNXFV5N2H","short_pith_number":"pith:IR3QLFER","canonical_record":{"source":{"id":"gr-qc/9905059","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-05-18T09:38:07Z","cross_cats_sorted":[],"title_canon_sha256":"ea77cd8a64c63219a3654f2ea3ca60b9d684e395095685ad655c1239ffdbe162","abstract_canon_sha256":"9c3a18f404def16c7c40e9838809a6d3171df118fb3ed8e67f8810f2179d8ccc"},"schema_version":"1.0"},"canonical_sha256":"44770594912c533ca5bd3a5b72d7add1c0671f4b89a0f62619ec655fc625e4be","source":{"kind":"arxiv","id":"gr-qc/9905059","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9905059","created_at":"2026-07-04T16:13:51Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9905059v1","created_at":"2026-07-04T16:13:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9905059","created_at":"2026-07-04T16:13:51Z"},{"alias_kind":"pith_short_12","alias_value":"IR3QLFERFRJT","created_at":"2026-07-04T16:13:51Z"},{"alias_kind":"pith_short_16","alias_value":"IR3QLFERFRJTZJN5","created_at":"2026-07-04T16:13:51Z"},{"alias_kind":"pith_short_8","alias_value":"IR3QLFER","created_at":"2026-07-04T16:13:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:IR3QLFERFRJTZJN5HJNXFV5N2H","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9905059","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-05-18T09:38:07Z","cross_cats_sorted":[],"title_canon_sha256":"ea77cd8a64c63219a3654f2ea3ca60b9d684e395095685ad655c1239ffdbe162","abstract_canon_sha256":"9c3a18f404def16c7c40e9838809a6d3171df118fb3ed8e67f8810f2179d8ccc"},"schema_version":"1.0"},"canonical_sha256":"44770594912c533ca5bd3a5b72d7add1c0671f4b89a0f62619ec655fc625e4be","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:13:51.188585Z","signature_b64":"42aaxGYvaXkkxG1+ZF4v4WvThtyLBDq6rmpfx9DIqbWtmvscHgXsom7x/M87fmcgaOPjmAuAveZHNzQGOK+xAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44770594912c533ca5bd3a5b72d7add1c0671f4b89a0f62619ec655fc625e4be","last_reissued_at":"2026-07-04T16:13:51.188191Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:13:51.188191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9905059","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:13:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+JsfF2nn63Xrgcjer5YEUCI6kH1IrduKHNUnRGILzgy7RGQO3YD2biYMM9nLOUwb6eC9of0E1Ma9c+o4PEiNDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T09:54:30.695108Z"},"content_sha256":"db8c8ed1b2ed43e59f9fd2424641c9348c50363a373c6c4d8b035aa0ba7e6e7e","schema_version":"1.0","event_id":"sha256:db8c8ed1b2ed43e59f9fd2424641c9348c50363a373c6c4d8b035aa0ba7e6e7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:IR3QLFERFRJTZJN5HJNXFV5N2H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the definition of cylindrical symmetry","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"J. Carot, J. M. M. Senovilla, R. Vera","submitted_at":"1999-05-18T09:38:07Z","abstract_excerpt":"The standard definition of cylindrical symmetry in General Relativity is reviewed. Taking the view that axial symmetry is an essential pre-requisite for cylindrical symmetry, it is argued that the requirement of orthogonal transitivity of the isometry group should be dropped, this leading to a new, more general definition of cylindrical symmetry. Stationarity and staticity in cylindrically symmetric spacetimes are then defined, and these issues are analysed in connection with orthogonal transitivity, thus proving some new results on the structure of the isometry group for this class of spaceti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9905059","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/9905059/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:13:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5QWc4j+++U4kPjO0Z7rXcaKRbVQ/YIJ/odhUE8FAtyiwV31xGG3iHD9QkO2urKgFEPSWNzyKHeuk4LTbeDHvBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T09:54:30.695620Z"},"content_sha256":"42a9704e9af55610dd35b5bef4f944509ba0302c14989ad7ca670076c0a55ace","schema_version":"1.0","event_id":"sha256:42a9704e9af55610dd35b5bef4f944509ba0302c14989ad7ca670076c0a55ace"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IR3QLFERFRJTZJN5HJNXFV5N2H/bundle.json","state_url":"https://pith.science/pith/IR3QLFERFRJTZJN5HJNXFV5N2H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IR3QLFERFRJTZJN5HJNXFV5N2H/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":"2026-08-05T09:54:30Z","links":{"resolver":"https://pith.science/pith/IR3QLFERFRJTZJN5HJNXFV5N2H","bundle":"https://pith.science/pith/IR3QLFERFRJTZJN5HJNXFV5N2H/bundle.json","state":"https://pith.science/pith/IR3QLFERFRJTZJN5HJNXFV5N2H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IR3QLFERFRJTZJN5HJNXFV5N2H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:IR3QLFERFRJTZJN5HJNXFV5N2H","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":"9c3a18f404def16c7c40e9838809a6d3171df118fb3ed8e67f8810f2179d8ccc","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1999-05-18T09:38:07Z","title_canon_sha256":"ea77cd8a64c63219a3654f2ea3ca60b9d684e395095685ad655c1239ffdbe162"},"schema_version":"1.0","source":{"id":"gr-qc/9905059","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9905059","created_at":"2026-07-04T16:13:51Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9905059v1","created_at":"2026-07-04T16:13:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9905059","created_at":"2026-07-04T16:13:51Z"},{"alias_kind":"pith_short_12","alias_value":"IR3QLFERFRJT","created_at":"2026-07-04T16:13:51Z"},{"alias_kind":"pith_short_16","alias_value":"IR3QLFERFRJTZJN5","created_at":"2026-07-04T16:13:51Z"},{"alias_kind":"pith_short_8","alias_value":"IR3QLFER","created_at":"2026-07-04T16:13:51Z"}],"graph_snapshots":[{"event_id":"sha256:42a9704e9af55610dd35b5bef4f944509ba0302c14989ad7ca670076c0a55ace","target":"graph","created_at":"2026-07-04T16:13:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/gr-qc/9905059/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The standard definition of cylindrical symmetry in General Relativity is reviewed. Taking the view that axial symmetry is an essential pre-requisite for cylindrical symmetry, it is argued that the requirement of orthogonal transitivity of the isometry group should be dropped, this leading to a new, more general definition of cylindrical symmetry. Stationarity and staticity in cylindrically symmetric spacetimes are then defined, and these issues are analysed in connection with orthogonal transitivity, thus proving some new results on the structure of the isometry group for this class of spaceti","authors_text":"J. Carot, J. M. M. Senovilla, R. Vera","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1999-05-18T09:38:07Z","title":"On the definition of cylindrical symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9905059","kind":"arxiv","version":1},"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:db8c8ed1b2ed43e59f9fd2424641c9348c50363a373c6c4d8b035aa0ba7e6e7e","target":"record","created_at":"2026-07-04T16:13:51Z","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":"9c3a18f404def16c7c40e9838809a6d3171df118fb3ed8e67f8810f2179d8ccc","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1999-05-18T09:38:07Z","title_canon_sha256":"ea77cd8a64c63219a3654f2ea3ca60b9d684e395095685ad655c1239ffdbe162"},"schema_version":"1.0","source":{"id":"gr-qc/9905059","kind":"arxiv","version":1}},"canonical_sha256":"44770594912c533ca5bd3a5b72d7add1c0671f4b89a0f62619ec655fc625e4be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44770594912c533ca5bd3a5b72d7add1c0671f4b89a0f62619ec655fc625e4be","first_computed_at":"2026-07-04T16:13:51.188191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:13:51.188191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"42aaxGYvaXkkxG1+ZF4v4WvThtyLBDq6rmpfx9DIqbWtmvscHgXsom7x/M87fmcgaOPjmAuAveZHNzQGOK+xAA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:13:51.188585Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9905059","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db8c8ed1b2ed43e59f9fd2424641c9348c50363a373c6c4d8b035aa0ba7e6e7e","sha256:42a9704e9af55610dd35b5bef4f944509ba0302c14989ad7ca670076c0a55ace"],"state_sha256":"d6f7499cd9c07d533fbda5d45cfc085a738253cb5e08d191bff12dd5b91a0819"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vtCd94GcVZvaYWmM6acCzxcx+Ng71Xk7in76pwhOpRRTdrgCJSac+6Ix5lVP1ANlb3h68NqDKLOMuN+CC3L7Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T09:54:30.700238Z","bundle_sha256":"2ac42051800db751d012d8b9f7849e269dd5671f212af0df59bc15c47b3365dc"}}