{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7HQPJF6AZANRK7H64GLG5FREKJ","short_pith_number":"pith:7HQPJF6A","canonical_record":{"source":{"id":"1303.4651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-19T16:19:49Z","cross_cats_sorted":[],"title_canon_sha256":"ec40c69574ac9158bfa88a445d5c981d1786059f261e2a890683d8b695c583d4","abstract_canon_sha256":"ff33cf4a1f196f3053437840993037c628e99aebb575d3ecb323f84dcd19929a"},"schema_version":"1.0"},"canonical_sha256":"f9e0f497c0c81b157cfee1966e962452743014d6ff7664a2fec4d9121346d5d5","source":{"kind":"arxiv","id":"1303.4651","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.4651","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"1303.4651v1","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4651","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"7HQPJF6AZANR","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7HQPJF6AZANRK7H6","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7HQPJF6A","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7HQPJF6AZANRK7H64GLG5FREKJ","target":"record","payload":{"canonical_record":{"source":{"id":"1303.4651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-19T16:19:49Z","cross_cats_sorted":[],"title_canon_sha256":"ec40c69574ac9158bfa88a445d5c981d1786059f261e2a890683d8b695c583d4","abstract_canon_sha256":"ff33cf4a1f196f3053437840993037c628e99aebb575d3ecb323f84dcd19929a"},"schema_version":"1.0"},"canonical_sha256":"f9e0f497c0c81b157cfee1966e962452743014d6ff7664a2fec4d9121346d5d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:26.622347Z","signature_b64":"YN4NsfsXiDcgu5b+lUWeS3ZtCA2wvZbB/boBahB2o9FAIqxghWbt3982g5HKEsIE64sZhFQEUaesN2Qw+vWNBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9e0f497c0c81b157cfee1966e962452743014d6ff7664a2fec4d9121346d5d5","last_reissued_at":"2026-05-18T03:30:26.621661Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:26.621661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.4651","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":"2026-05-18T03:30:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bDJhQ4TGCdR4MFh0AlQIG6EHYtM77ytFYtBjUYa+NyLdC451HoAC4ejQVeZfRiX+Vz5cb6OYsU/07JYs367sAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:09:28.329284Z"},"content_sha256":"24930ea8d32538fa5a9b3a9fd3eb31c437efc403cf696a26c0cc747f889afd3f","schema_version":"1.0","event_id":"sha256:24930ea8d32538fa5a9b3a9fd3eb31c437efc403cf696a26c0cc747f889afd3f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7HQPJF6AZANRK7H64GLG5FREKJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Visualization of the G\\\"odel universe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Endre Kajari, Michael Buser, Wolfgang P. Schleich","submitted_at":"2013-03-19T16:19:49Z","abstract_excerpt":"The standard model of modern cosmology, which is based on the Friedmann-Lema\\^itre-Robertson-Walker metric, allows the definition of an absolute time. However, there exist (cosmological) models consistent with the theory of general relativity for which such a definition cannot be given since they offer the possibility of time travel. The simplest of these models is the cosmological solution discovered by Kurt G\\\"odel, which describes a homogeneous, rotating universe. Disregarding the paradoxes that come along with the abolishment of causality in such spacetimes, we are interested in the purely"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4651","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":""},"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":"2026-05-18T03:30:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"skAEyBXU+uzr/izXR/6nOg6J4/8qdPJpW3qBsNqffF5yz1yZ/RnLiKtDSVxLTnfuOs/MGVscXX1ahMo3WYjFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:09:28.329939Z"},"content_sha256":"0b0df5fb00ee520ac987390a88ffff763a7605294f9049586e5457282546f035","schema_version":"1.0","event_id":"sha256:0b0df5fb00ee520ac987390a88ffff763a7605294f9049586e5457282546f035"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7HQPJF6AZANRK7H64GLG5FREKJ/bundle.json","state_url":"https://pith.science/pith/7HQPJF6AZANRK7H64GLG5FREKJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7HQPJF6AZANRK7H64GLG5FREKJ/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":"2026-06-12T10:09:28Z","links":{"resolver":"https://pith.science/pith/7HQPJF6AZANRK7H64GLG5FREKJ","bundle":"https://pith.science/pith/7HQPJF6AZANRK7H64GLG5FREKJ/bundle.json","state":"https://pith.science/pith/7HQPJF6AZANRK7H64GLG5FREKJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7HQPJF6AZANRK7H64GLG5FREKJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7HQPJF6AZANRK7H64GLG5FREKJ","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":"ff33cf4a1f196f3053437840993037c628e99aebb575d3ecb323f84dcd19929a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-19T16:19:49Z","title_canon_sha256":"ec40c69574ac9158bfa88a445d5c981d1786059f261e2a890683d8b695c583d4"},"schema_version":"1.0","source":{"id":"1303.4651","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.4651","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"1303.4651v1","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4651","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"7HQPJF6AZANR","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7HQPJF6AZANRK7H6","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7HQPJF6A","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:0b0df5fb00ee520ac987390a88ffff763a7605294f9049586e5457282546f035","target":"graph","created_at":"2026-05-18T03:30:26Z","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 standard model of modern cosmology, which is based on the Friedmann-Lema\\^itre-Robertson-Walker metric, allows the definition of an absolute time. However, there exist (cosmological) models consistent with the theory of general relativity for which such a definition cannot be given since they offer the possibility of time travel. The simplest of these models is the cosmological solution discovered by Kurt G\\\"odel, which describes a homogeneous, rotating universe. Disregarding the paradoxes that come along with the abolishment of causality in such spacetimes, we are interested in the purely","authors_text":"Endre Kajari, Michael Buser, Wolfgang P. Schleich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-19T16:19:49Z","title":"Visualization of the G\\\"odel universe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4651","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":"sha256:24930ea8d32538fa5a9b3a9fd3eb31c437efc403cf696a26c0cc747f889afd3f","target":"record","created_at":"2026-05-18T03:30:26Z","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":"ff33cf4a1f196f3053437840993037c628e99aebb575d3ecb323f84dcd19929a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-19T16:19:49Z","title_canon_sha256":"ec40c69574ac9158bfa88a445d5c981d1786059f261e2a890683d8b695c583d4"},"schema_version":"1.0","source":{"id":"1303.4651","kind":"arxiv","version":1}},"canonical_sha256":"f9e0f497c0c81b157cfee1966e962452743014d6ff7664a2fec4d9121346d5d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9e0f497c0c81b157cfee1966e962452743014d6ff7664a2fec4d9121346d5d5","first_computed_at":"2026-05-18T03:30:26.621661Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:26.621661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YN4NsfsXiDcgu5b+lUWeS3ZtCA2wvZbB/boBahB2o9FAIqxghWbt3982g5HKEsIE64sZhFQEUaesN2Qw+vWNBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:26.622347Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.4651","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24930ea8d32538fa5a9b3a9fd3eb31c437efc403cf696a26c0cc747f889afd3f","sha256:0b0df5fb00ee520ac987390a88ffff763a7605294f9049586e5457282546f035"],"state_sha256":"5feccea073b46fad16530f923b089d15079c13838b2767c668c25395416d0ee7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"abNc/a7bXE6qAGmDtGasdMA6eJ29S48G4NL65b3sq93xzC0SJmpzdbl0Uv2oK5lMLH6XM/xW9F5ht9sVq0jRCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T10:09:28.333026Z","bundle_sha256":"0a21e5e1eeff8bfda14a35d815dbc3ed9861902e4a6a3bdd10e30a1689ce21e5"}}