{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:V6PL4HGNZCVWZ67NDOHWGPGU65","short_pith_number":"pith:V6PL4HGN","canonical_record":{"source":{"id":"gr-qc/0506105","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-06-21T14:18:26Z","cross_cats_sorted":[],"title_canon_sha256":"0da9cdde65b2030d33d21104738b0e6d953035402abe87ac61c40434b119de8a","abstract_canon_sha256":"399201d4e63e2adfb48f7fba41b5b2aab24ea0ea93546ed3cd0f439940ba3a00"},"schema_version":"1.0"},"canonical_sha256":"af9ebe1ccdc8ab6cfbed1b8f633cd4f7723e3066444dca1a1cb2fb732218f49d","source":{"kind":"arxiv","id":"gr-qc/0506105","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0506105","created_at":"2026-05-18T04:21:31Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0506105v2","created_at":"2026-05-18T04:21:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0506105","created_at":"2026-05-18T04:21:31Z"},{"alias_kind":"pith_short_12","alias_value":"V6PL4HGNZCVW","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"V6PL4HGNZCVWZ67N","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"V6PL4HGN","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:V6PL4HGNZCVWZ67NDOHWGPGU65","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0506105","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-06-21T14:18:26Z","cross_cats_sorted":[],"title_canon_sha256":"0da9cdde65b2030d33d21104738b0e6d953035402abe87ac61c40434b119de8a","abstract_canon_sha256":"399201d4e63e2adfb48f7fba41b5b2aab24ea0ea93546ed3cd0f439940ba3a00"},"schema_version":"1.0"},"canonical_sha256":"af9ebe1ccdc8ab6cfbed1b8f633cd4f7723e3066444dca1a1cb2fb732218f49d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:21:31.900098Z","signature_b64":"pu8ztwqA0uAad5+z87VKbxBwmY6/JZd3ulqzew1kJRsUZkC34XxqRBiC359i/coW+9AakwWwG/O8ifpLUQ/iCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af9ebe1ccdc8ab6cfbed1b8f633cd4f7723e3066444dca1a1cb2fb732218f49d","last_reissued_at":"2026-05-18T04:21:31.899677Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:21:31.899677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0506105","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":"2026-05-18T04:21:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"anG6lURoV3wZ8xrq/SOgfvcJmCvAm3PcMIqsQxXNp9hpsOczReIXd6ErYRohyDJscbZt5/FJHP8Ug5JQlwuKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T21:42:08.543454Z"},"content_sha256":"a575295f70c940650e747ff1628d6c48fab43eb9de8834d038b6d2e78db6ae46","schema_version":"1.0","event_id":"sha256:a575295f70c940650e747ff1628d6c48fab43eb9de8834d038b6d2e78db6ae46"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:V6PL4HGNZCVWZ67NDOHWGPGU65","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniformly Rotating Rings in General Relativity","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Marcus Ansorg, Stefan Horatschek, Thomas Fischer","submitted_at":"2005-06-21T14:18:26Z","abstract_excerpt":"In this paper, we discuss general relativistic, self-gravitating and uniformly rotating perfect fluid bodies with a toroidal topology (without central object). For the equations of state describing the fluid matter we consider polytropic as well as completely degenerate, perfect Fermi gas models. We find that the corresponding configurations possess similar properties to the homogeneous relativistic Dyson rings. On the one hand, there exists no limit to the mass for a given maximal mass-density inside the body. On the other hand, each model permits a quasistationary transition to the extreme K"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0506105","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":"2026-05-18T04:21:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YKaYX5iAkjcDAmWbPeOLA4xf9Zrz5IbKhWhPzBIPB3vRQwTOenNE94RImvvPJLPW/mye0+wrlvBC67LyqWeeAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T21:42:08.543791Z"},"content_sha256":"91dd7390fd7f4a08fcb068ccb31309b92bec3340fb52f08e1041537e6acfd4a6","schema_version":"1.0","event_id":"sha256:91dd7390fd7f4a08fcb068ccb31309b92bec3340fb52f08e1041537e6acfd4a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V6PL4HGNZCVWZ67NDOHWGPGU65/bundle.json","state_url":"https://pith.science/pith/V6PL4HGNZCVWZ67NDOHWGPGU65/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V6PL4HGNZCVWZ67NDOHWGPGU65/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":"2026-06-27T21:42:08Z","links":{"resolver":"https://pith.science/pith/V6PL4HGNZCVWZ67NDOHWGPGU65","bundle":"https://pith.science/pith/V6PL4HGNZCVWZ67NDOHWGPGU65/bundle.json","state":"https://pith.science/pith/V6PL4HGNZCVWZ67NDOHWGPGU65/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V6PL4HGNZCVWZ67NDOHWGPGU65/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:V6PL4HGNZCVWZ67NDOHWGPGU65","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":"399201d4e63e2adfb48f7fba41b5b2aab24ea0ea93546ed3cd0f439940ba3a00","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2005-06-21T14:18:26Z","title_canon_sha256":"0da9cdde65b2030d33d21104738b0e6d953035402abe87ac61c40434b119de8a"},"schema_version":"1.0","source":{"id":"gr-qc/0506105","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0506105","created_at":"2026-05-18T04:21:31Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0506105v2","created_at":"2026-05-18T04:21:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0506105","created_at":"2026-05-18T04:21:31Z"},{"alias_kind":"pith_short_12","alias_value":"V6PL4HGNZCVW","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"V6PL4HGNZCVWZ67N","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"V6PL4HGN","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:91dd7390fd7f4a08fcb068ccb31309b92bec3340fb52f08e1041537e6acfd4a6","target":"graph","created_at":"2026-05-18T04:21:31Z","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":"In this paper, we discuss general relativistic, self-gravitating and uniformly rotating perfect fluid bodies with a toroidal topology (without central object). For the equations of state describing the fluid matter we consider polytropic as well as completely degenerate, perfect Fermi gas models. We find that the corresponding configurations possess similar properties to the homogeneous relativistic Dyson rings. On the one hand, there exists no limit to the mass for a given maximal mass-density inside the body. On the other hand, each model permits a quasistationary transition to the extreme K","authors_text":"Marcus Ansorg, Stefan Horatschek, Thomas Fischer","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2005-06-21T14:18:26Z","title":"Uniformly Rotating Rings in General Relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0506105","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:a575295f70c940650e747ff1628d6c48fab43eb9de8834d038b6d2e78db6ae46","target":"record","created_at":"2026-05-18T04:21:31Z","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":"399201d4e63e2adfb48f7fba41b5b2aab24ea0ea93546ed3cd0f439940ba3a00","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2005-06-21T14:18:26Z","title_canon_sha256":"0da9cdde65b2030d33d21104738b0e6d953035402abe87ac61c40434b119de8a"},"schema_version":"1.0","source":{"id":"gr-qc/0506105","kind":"arxiv","version":2}},"canonical_sha256":"af9ebe1ccdc8ab6cfbed1b8f633cd4f7723e3066444dca1a1cb2fb732218f49d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af9ebe1ccdc8ab6cfbed1b8f633cd4f7723e3066444dca1a1cb2fb732218f49d","first_computed_at":"2026-05-18T04:21:31.899677Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:31.899677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pu8ztwqA0uAad5+z87VKbxBwmY6/JZd3ulqzew1kJRsUZkC34XxqRBiC359i/coW+9AakwWwG/O8ifpLUQ/iCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:31.900098Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0506105","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a575295f70c940650e747ff1628d6c48fab43eb9de8834d038b6d2e78db6ae46","sha256:91dd7390fd7f4a08fcb068ccb31309b92bec3340fb52f08e1041537e6acfd4a6"],"state_sha256":"fe9723b323344a8993ff9ef8dde62cd4f4cd675a3a6d2c08b7387ec41f9b686b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aLBGpCHn+mdhZQjCRxGTKZ82jGQA1wKB5zW6Kg6+UoJfmP0ritZN0wxVs6r7zzWEfQGgo2rB7s7YFAcdGZlDAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T21:42:08.545654Z","bundle_sha256":"c4cc692cd8a0227fc0fdf39cd620f2340c3da3f9dbd4d1ea7dc599c414c604a8"}}