{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CI2E5TTUXWYD5DLUNSHYAVMS2G","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":"2a199f8889878c799c081aadb14f69a0dd06ce981d761143a7fe7c1db94a905f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-30T18:14:11Z","title_canon_sha256":"5927f5300c700cec86f3e9a6f45a82969550cd9999080095657885000af4ffb7"},"schema_version":"1.0","source":{"id":"1909.00018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.00018","created_at":"2026-07-05T00:41:36Z"},{"alias_kind":"arxiv_version","alias_value":"1909.00018v1","created_at":"2026-07-05T00:41:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.00018","created_at":"2026-07-05T00:41:36Z"},{"alias_kind":"pith_short_12","alias_value":"CI2E5TTUXWYD","created_at":"2026-07-05T00:41:36Z"},{"alias_kind":"pith_short_16","alias_value":"CI2E5TTUXWYD5DLU","created_at":"2026-07-05T00:41:36Z"},{"alias_kind":"pith_short_8","alias_value":"CI2E5TTU","created_at":"2026-07-05T00:41:36Z"}],"graph_snapshots":[{"event_id":"sha256:756fa89121944bc234a57aae7cec9ee2d7a4e2aa3f8cd3997ce430ca259e181f","target":"graph","created_at":"2026-07-05T00:41:36Z","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/1909.00018/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend the scope of the Raychaudhuri-Komar singularity theorem of General Relativity to affine theories of gravity with and without torsion. We first generalize the existing focusing theorems using time-like and null congruences of curves which are hypersurface orthogonal, showing how the presence of torsion affects the formation of focal points in Lorentzian manifolds. Considering the energy conservation on a given affine gravity theory, we prove new singularity theorems for accelerated curves in the cases of Lorentzian manifolds containing perfect fluids or scalar field matter sources.","authors_text":"Filipe C. Mena, Paulo Luz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-30T18:14:11Z","title":"Singularity theorems and the inclusion of torsion in affine theories of gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.00018","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:c6123f6aedb86e9b8297ff94ffe8b231f88511c82293510064181c7c9e9c4044","target":"record","created_at":"2026-07-05T00:41:36Z","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":"2a199f8889878c799c081aadb14f69a0dd06ce981d761143a7fe7c1db94a905f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-30T18:14:11Z","title_canon_sha256":"5927f5300c700cec86f3e9a6f45a82969550cd9999080095657885000af4ffb7"},"schema_version":"1.0","source":{"id":"1909.00018","kind":"arxiv","version":1}},"canonical_sha256":"12344ece74bdb03e8d746c8f805592d19bcc4725859fc11a39f207bbbd6cb5e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12344ece74bdb03e8d746c8f805592d19bcc4725859fc11a39f207bbbd6cb5e3","first_computed_at":"2026-07-05T00:41:36.500246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:41:36.500246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kR7t0RrD8MOwHPQwckBkMYEflInYQqYHqzycRCeX7gS3aqEwdiM9qnQHC32/O/Yle7TU4atYnzSU/v9RgXMzDw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:41:36.500664Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.00018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6123f6aedb86e9b8297ff94ffe8b231f88511c82293510064181c7c9e9c4044","sha256:756fa89121944bc234a57aae7cec9ee2d7a4e2aa3f8cd3997ce430ca259e181f"],"state_sha256":"d29ab1140e09b17a2a75f407f8f5420ae70d24d0d746ef2a2e8e3760bdce2ca4"}