{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PKITLYA6BHVKRF35W5534OMFDR","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":"a30a9b686708bd1c7e457c5fd841b08fdd524fe7809c89fb0abda6ebec49160e","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-14T20:48:10Z","title_canon_sha256":"a08e76bec8a0c676576015121b13e698ce3778bc53857b245244506a2eba6d72"},"schema_version":"1.0","source":{"id":"1212.3595","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3595","created_at":"2026-05-18T01:16:01Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3595v5","created_at":"2026-05-18T01:16:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3595","created_at":"2026-05-18T01:16:01Z"},{"alias_kind":"pith_short_12","alias_value":"PKITLYA6BHVK","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PKITLYA6BHVKRF35","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PKITLYA6","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:249645e286d245a36b15f671e809e45519557d068441e08febd2bacc0f5ee533","target":"graph","created_at":"2026-05-18T01:16:01Z","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 study the geometric properties of a $2m$-dimensional complex manifold $\\mathcal{M}$ admitting a holomorphic reduction of the frame bundle to the structure group $P \\subset \\mathrm{Spin}(2m,\\mathbb{C})$, the stabiliser of the line spanned by a pure spinor at a point. Geometrically, $\\mathcal{M}$ is endowed with a holomorphic metric $g$, a holomorphic volume form, a spin structure compatible with $g$, and a holomorphic pure spinor field $\\xi$ up to scale. The defining property of $\\xi$ is that it determines an almost null structure, ie an $m$-plane distribution $\\mathcal{N}_\\xi$ along which $","authors_text":"Arman Taghavi-Chabert","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-14T20:48:10Z","title":"Pure spinors, intrinsic torsion and curvature in even dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3595","kind":"arxiv","version":5},"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":"sha256:8155d1cf30ab63734e96095e9ddbb0020824d4a81ef2a7c53d4f69908c3b1ebe","target":"record","created_at":"2026-05-18T01:16:01Z","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":"a30a9b686708bd1c7e457c5fd841b08fdd524fe7809c89fb0abda6ebec49160e","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-14T20:48:10Z","title_canon_sha256":"a08e76bec8a0c676576015121b13e698ce3778bc53857b245244506a2eba6d72"},"schema_version":"1.0","source":{"id":"1212.3595","kind":"arxiv","version":5}},"canonical_sha256":"7a9135e01e09eaa8977db77bbe39851c7e56aef838a0c0b2dac04992794b9707","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a9135e01e09eaa8977db77bbe39851c7e56aef838a0c0b2dac04992794b9707","first_computed_at":"2026-05-18T01:16:01.194666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:01.194666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"svVtkme3fBTcyO8qLEPi799N/zkalWdcmrFPyX1dWq9UxRBs3Ye/zcFxVwmMb5Df/MdIHW2jqJsFiZ27+PCNBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:01.195431Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3595","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8155d1cf30ab63734e96095e9ddbb0020824d4a81ef2a7c53d4f69908c3b1ebe","sha256:249645e286d245a36b15f671e809e45519557d068441e08febd2bacc0f5ee533"],"state_sha256":"6a2dcac4cf938acd5cdba183d588475ed61c58de6d3f7b8f38c34f365cde10d3"}