{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:VYQ7MCQHOVREOWP42BUGOJNVBP","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":"5a3010585c10dede5f1eea3e6603686b9f95ed4d97e63313b107c8289d06568b","cross_cats_sorted":["math-ph","math.AG","math.CT","math.GR","math.MP","math.NT","math.QA","math.SG","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-08-12T13:48:06Z","title_canon_sha256":"0931ca7975406323f453aa7db850e8e0ca8ad64f7672207d7b69789d0abb7eb2"},"schema_version":"1.0","source":{"id":"0808.1664","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.1664","created_at":"2026-05-18T01:05:13Z"},{"alias_kind":"arxiv_version","alias_value":"0808.1664v1","created_at":"2026-05-18T01:05:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.1664","created_at":"2026-05-18T01:05:13Z"},{"alias_kind":"pith_short_12","alias_value":"VYQ7MCQHOVRE","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"VYQ7MCQHOVREOWP4","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"VYQ7MCQH","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:a3e3c7e9e505eb20b012c4d533dab804bdc61958752c006aae174dc83765351e","target":"graph","created_at":"2026-05-18T01:05:13Z","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":"In this paper we construct a new variant of the Weil representation, associated with a symplectic vector space V defined over a finite field of characteristic two. Our variant is a representation of a bigger group than that of Weil. In the course, we develop the formalism of canonical vector spaces, which enables us to realize the bigger symmetry group and the representation in a transparent manner.","authors_text":"Ronny Hadani, Shamgar Gurevich","cross_cats":["math-ph","math.AG","math.CT","math.GR","math.MP","math.NT","math.QA","math.SG","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-08-12T13:48:06Z","title":"The Weil Representation in Characteristic Two"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.1664","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":"sha256:19fa93eb309c4587a3f2ab4b4f1268547779a8d12b1ef656c1cffccbd08e4b2a","target":"record","created_at":"2026-05-18T01:05:13Z","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":"5a3010585c10dede5f1eea3e6603686b9f95ed4d97e63313b107c8289d06568b","cross_cats_sorted":["math-ph","math.AG","math.CT","math.GR","math.MP","math.NT","math.QA","math.SG","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-08-12T13:48:06Z","title_canon_sha256":"0931ca7975406323f453aa7db850e8e0ca8ad64f7672207d7b69789d0abb7eb2"},"schema_version":"1.0","source":{"id":"0808.1664","kind":"arxiv","version":1}},"canonical_sha256":"ae21f60a0775624759fcd0686725b50be54446c6d0d1ef4738f7c576c1ed3dd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae21f60a0775624759fcd0686725b50be54446c6d0d1ef4738f7c576c1ed3dd8","first_computed_at":"2026-05-18T01:05:13.503268Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:13.503268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PtGDcEd4gJxLobPyTsaPVKnN27Ux0VJyIYKiXskkMwiC2QA/sx0cSOdLUZ78wJTFmYl00XYRbqS93txabUavCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:13.503926Z","signed_message":"canonical_sha256_bytes"},"source_id":"0808.1664","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19fa93eb309c4587a3f2ab4b4f1268547779a8d12b1ef656c1cffccbd08e4b2a","sha256:a3e3c7e9e505eb20b012c4d533dab804bdc61958752c006aae174dc83765351e"],"state_sha256":"d21c9792017fcaabd282641f88a9133deec5f0b0032ebd3f3b4aa8941f7847ab"}