{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZYRTPCH4A7MUXQWHJCKVSAR2IM","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":"3de10784b289567ff63426a2c5704ca0f7ce89377d311241d922379e68eb1754","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-01-25T05:14:05Z","title_canon_sha256":"9c713a1861d48f0e653c1438f20a931bd01d46a6eeee7dc055dca7c3fddaa3d2"},"schema_version":"1.0","source":{"id":"1201.5183","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5183","created_at":"2026-05-18T02:40:18Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5183v2","created_at":"2026-05-18T02:40:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5183","created_at":"2026-05-18T02:40:18Z"},{"alias_kind":"pith_short_12","alias_value":"ZYRTPCH4A7MU","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZYRTPCH4A7MUXQWH","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZYRTPCH4","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:1ead7e6c1bf1ce9a74131163dcd5e7c9423b7c7bdbf92b3739fcc514283c626d","target":"graph","created_at":"2026-05-18T02:40:18Z","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":"We show that timelike maximal cylinders in $\\RR^{1 + 2}$ always develop singularities in finite time and that, infinitesimally at a generic singularity, their time slices are evolved by a rigid motion or a self-similar motion. We also prove a mild generalization in non-flat backgrounds.","authors_text":"Gang Tian, Luc Nguyen","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-01-25T05:14:05Z","title":"On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5183","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":"sha256:48dc481961212c5a562fba39aa4a5bf59a2dc69cb40de682a143a3e25a7bd10a","target":"record","created_at":"2026-05-18T02:40:18Z","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":"3de10784b289567ff63426a2c5704ca0f7ce89377d311241d922379e68eb1754","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-01-25T05:14:05Z","title_canon_sha256":"9c713a1861d48f0e653c1438f20a931bd01d46a6eeee7dc055dca7c3fddaa3d2"},"schema_version":"1.0","source":{"id":"1201.5183","kind":"arxiv","version":2}},"canonical_sha256":"ce233788fc07d94bc2c7489559023a432511b5725eeac77ca47bbe0758ad9be3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce233788fc07d94bc2c7489559023a432511b5725eeac77ca47bbe0758ad9be3","first_computed_at":"2026-05-18T02:40:18.987612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:18.987612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UPy/dT1W8iuAzb5O4t/U6EOuNPdfEnVEptEkMrAK+FEh//f8YtE0uBfRuMzSbq5nbPXitj2Sr+zfmmdxnBwYCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:18.988109Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.5183","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48dc481961212c5a562fba39aa4a5bf59a2dc69cb40de682a143a3e25a7bd10a","sha256:1ead7e6c1bf1ce9a74131163dcd5e7c9423b7c7bdbf92b3739fcc514283c626d"],"state_sha256":"1b13cee5117adca861edb4b2124d527835079d78a968bd350ca7082571c26607"}