{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DXUDP5KOB3JB4GKHNCTXBIDMVS","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":"cc852584b99479819845d2d41d6b0953b38dbce0f2dc9c40c40cdf65b23af51b","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-05-06T18:00:10Z","title_canon_sha256":"7f36368436ab17cafd9f9bc05aec31a13be94ae420f4a4ffb663f04572ce5344"},"schema_version":"1.0","source":{"id":"2405.03756","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.03756","created_at":"2026-07-05T08:16:10Z"},{"alias_kind":"arxiv_version","alias_value":"2405.03756v1","created_at":"2026-07-05T08:16:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.03756","created_at":"2026-07-05T08:16:10Z"},{"alias_kind":"pith_short_12","alias_value":"DXUDP5KOB3JB","created_at":"2026-07-05T08:16:10Z"},{"alias_kind":"pith_short_16","alias_value":"DXUDP5KOB3JB4GKH","created_at":"2026-07-05T08:16:10Z"},{"alias_kind":"pith_short_8","alias_value":"DXUDP5KO","created_at":"2026-07-05T08:16:10Z"}],"graph_snapshots":[{"event_id":"sha256:ff4224abb8f8d3c7c000dddf5e1962fb9b185fde56039e8320c75cf0d12c195c","target":"graph","created_at":"2026-07-05T08:16:10Z","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/2405.03756/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop the theory of spinorial polyforms associated with bundles of irreducible Clifford modules of non-simple real type, obtaining a precise characterization of the square of an irreducible real spinor in signature $(p-q) = 1\\,\\mathrm{mod(8)}$ as a polyform belonging to a semi-algebraic real set. We use this formalism to study differential spinors on Lorentzian three-manifolds, proving that in this dimension and signature, every differential spinor is equivalent to an isotropic line preserved in a given direction by a metric connection with prescribed torsion. We apply this result to inve","authors_text":"C. S. Shahbazi","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-05-06T18:00:10Z","title":"Differential spinors and Kundt three-manifolds with skew-torsion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.03756","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":"sha256:9657d4ef2d332645d97c0006cdfe24271e014f60173548db6febe113f6c58641","target":"record","created_at":"2026-07-05T08:16:10Z","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":"cc852584b99479819845d2d41d6b0953b38dbce0f2dc9c40c40cdf65b23af51b","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-05-06T18:00:10Z","title_canon_sha256":"7f36368436ab17cafd9f9bc05aec31a13be94ae420f4a4ffb663f04572ce5344"},"schema_version":"1.0","source":{"id":"2405.03756","kind":"arxiv","version":1}},"canonical_sha256":"1de837f54e0ed21e194768a770a06cacbbbac999703455f8be3241ca27f87b76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1de837f54e0ed21e194768a770a06cacbbbac999703455f8be3241ca27f87b76","first_computed_at":"2026-07-05T08:16:10.364698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:16:10.364698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BZSUD3CMS4x2zIomxGOjufhXO+4/rdM7aM3yFLfSbTnGal6gtQcig+Kv6wE8SXzhi9KpVDRiT0jfa2vllDxTDg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:16:10.365163Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.03756","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9657d4ef2d332645d97c0006cdfe24271e014f60173548db6febe113f6c58641","sha256:ff4224abb8f8d3c7c000dddf5e1962fb9b185fde56039e8320c75cf0d12c195c"],"state_sha256":"b52caa73b7858fc6ebb3c853c3cbb7e16b7e555c56699b42f0a4a5cc57603a32"}