{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XAZN3KMJJLHPLUODZ34CZIPFQV","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":"53f507d7ae0a52b1257b437438e0d7fd5faf965987505a8b88d4cc6d5d41de7b","cross_cats_sorted":["math.DG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-12T12:59:42Z","title_canon_sha256":"f4ebf863855b476baa64c14341265d5af9d48acc0927fd163dac72f679c25b98"},"schema_version":"1.0","source":{"id":"1301.2682","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2682","created_at":"2026-05-18T01:23:26Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2682v3","created_at":"2026-05-18T01:23:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2682","created_at":"2026-05-18T01:23:26Z"},{"alias_kind":"pith_short_12","alias_value":"XAZN3KMJJLHP","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XAZN3KMJJLHPLUOD","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XAZN3KMJ","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:be601a45b292f8b9b768ae58daf0c1a2404f1836897ba29801bc5dc929ee3f21","target":"graph","created_at":"2026-05-18T01:23:26Z","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 introduce the symplectic twistor operator $T_s$ in symplectic spin geometry, as a symplectic analogue of the twistor operator in Riemannian spin geometry. We focus on the real dimension 2 and compute the space of its solutions on ${\\mathbb R}^2$. Our analysis is based on the techniques of metaplectic Howe duality.","authors_text":"Marie Dostalova, Petr Somberg","cross_cats":["math.DG","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-12T12:59:42Z","title":"Symplectic twistor operator and its solution space on ${\\mathbb R}^2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2682","kind":"arxiv","version":3},"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":"sha256:0ec7ce96b2dd6ec0fdc0fd683065f90cfdd81a5c2d10a9a1eb0c96811e88b902","target":"record","created_at":"2026-05-18T01:23:26Z","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":"53f507d7ae0a52b1257b437438e0d7fd5faf965987505a8b88d4cc6d5d41de7b","cross_cats_sorted":["math.DG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-12T12:59:42Z","title_canon_sha256":"f4ebf863855b476baa64c14341265d5af9d48acc0927fd163dac72f679c25b98"},"schema_version":"1.0","source":{"id":"1301.2682","kind":"arxiv","version":3}},"canonical_sha256":"b832dda9894acef5d1c3cef82ca1e5854624d9d6e5ef4d58ed380e1b1a3c90ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b832dda9894acef5d1c3cef82ca1e5854624d9d6e5ef4d58ed380e1b1a3c90ea","first_computed_at":"2026-05-18T01:23:26.740837Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:26.740837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hxo1wveWwQe3Pz5LUrq4p4my6hgAAAbaDie8KJmu+ABTDh7D+2ZVprfLg0csHd7fhEoQMCgJHEdGnhDKd5sGDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:26.741449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.2682","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ec7ce96b2dd6ec0fdc0fd683065f90cfdd81a5c2d10a9a1eb0c96811e88b902","sha256:be601a45b292f8b9b768ae58daf0c1a2404f1836897ba29801bc5dc929ee3f21"],"state_sha256":"9138055ba4095ab258f6bf2d0b3092afd324a44254717fc2975efb4db440a6de"}