{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VKDE6XIA7WYKQ7WN5SOXGUA2J4","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":"1f38957dfaf870470f2f51a2d485b1986a1abf668fffa83f9ad77e866766386d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-01-22T11:08:15Z","title_canon_sha256":"1a4aefa4043c9eb824ed9f16f0cc9f217f8f085f443590cd254b1e44782581e0"},"schema_version":"1.0","source":{"id":"1301.5143","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5143","created_at":"2026-05-18T00:02:14Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5143v2","created_at":"2026-05-18T00:02:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5143","created_at":"2026-05-18T00:02:14Z"},{"alias_kind":"pith_short_12","alias_value":"VKDE6XIA7WYK","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VKDE6XIA7WYKQ7WN","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VKDE6XIA","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:b5e08e4ee0e8c4beb90017da6955f08451fa705ed1b616635b072105f8087fd9","target":"graph","created_at":"2026-05-18T00:02:14Z","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":"Almost para-quaternionic structures on smooth manifolds of dimension $2n$ are equivalent to almost Grassmannian structures of type $(2,n)$. We remind the equivalence and exhibit some interrelations between subjects that were previously studied independently from the para-quaternionic and the Grassmannian point of view. In particular, we relate the respective normalization conditions, distinguished curves and twistor constructions.","authors_text":"Vojtech Zadnik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-01-22T11:08:15Z","title":"Interactions between para-quaternionic and Grassmannian geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5143","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":"sha256:2bf9cd8da59e86214ffaf7ad918ad7284921c4c09bd73f22e3e254095e6eb5d4","target":"record","created_at":"2026-05-18T00:02:14Z","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":"1f38957dfaf870470f2f51a2d485b1986a1abf668fffa83f9ad77e866766386d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-01-22T11:08:15Z","title_canon_sha256":"1a4aefa4043c9eb824ed9f16f0cc9f217f8f085f443590cd254b1e44782581e0"},"schema_version":"1.0","source":{"id":"1301.5143","kind":"arxiv","version":2}},"canonical_sha256":"aa864f5d00fdb0a87ecdec9d73501a4f358558d3b2e15d963fc9b73aff26fb88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa864f5d00fdb0a87ecdec9d73501a4f358558d3b2e15d963fc9b73aff26fb88","first_computed_at":"2026-05-18T00:02:14.101328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:14.101328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XeMgpDdZuPYdZXXa3+EB/RTj2RieJHQ75sRRzM1CqdVPqSeEaFKHpWGutQWwAkqWOgVVBF+QscJDJu/69IjyBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:14.101856Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5143","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bf9cd8da59e86214ffaf7ad918ad7284921c4c09bd73f22e3e254095e6eb5d4","sha256:b5e08e4ee0e8c4beb90017da6955f08451fa705ed1b616635b072105f8087fd9"],"state_sha256":"2d11fa6aa184ba42b8517aaddfa1cf29fe046717f2b2d381337df0b50e9b90cc"}