{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DS2N4AC7TWOPSLBLSGFJNEBPTM","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":"5972ce85cc0c0f47fbba7dcd7c09ae3111fc767074c0bc83e7d38f84cb212ed3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-07-09T11:16:23Z","title_canon_sha256":"791836359b0df46a89d044e6d00e243f8b9541d6bf4f724e2e6f77ffffa139b3"},"schema_version":"1.0","source":{"id":"1307.2403","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2403","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2403v2","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2403","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"DS2N4AC7TWOP","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DS2N4AC7TWOPSLBL","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DS2N4AC7","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:a425f49a1fd2f54dee51f8faeb858c0d9898ceb3bb7dd53162efec4ed2d0aa0a","target":"graph","created_at":"2026-05-18T02:56:05Z","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 give a self contained and elementary description of normal forms for symplectic matrices, based on geometrical considerations. The normal forms in question are expressed in terms of elementary Jordan matrices and integers with values in $\\{-1,0,1\\}$ related to signatures of quadratic forms naturally associated to the symplectic matrix.","authors_text":"Jean Gutt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-07-09T11:16:23Z","title":"Normal Forms for Symplectic Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2403","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":"sha256:5b018a5f56a2e75da93fe53c6c115dfd212657bcab7ff95c59d7664548cdd745","target":"record","created_at":"2026-05-18T02:56:05Z","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":"5972ce85cc0c0f47fbba7dcd7c09ae3111fc767074c0bc83e7d38f84cb212ed3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-07-09T11:16:23Z","title_canon_sha256":"791836359b0df46a89d044e6d00e243f8b9541d6bf4f724e2e6f77ffffa139b3"},"schema_version":"1.0","source":{"id":"1307.2403","kind":"arxiv","version":2}},"canonical_sha256":"1cb4de005f9d9cf92c2b918a96902f9b06756597b6b250611866f3062ecda129","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1cb4de005f9d9cf92c2b918a96902f9b06756597b6b250611866f3062ecda129","first_computed_at":"2026-05-18T02:56:05.182156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:05.182156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CAFuyttdoih8a0B9WjUkOZnSoFDJoXQWq/81suoMYAj7pUJ0S9W2jVd4foiAh/G+UWy53UBeSESLUuhhJxKkDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:05.182578Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.2403","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b018a5f56a2e75da93fe53c6c115dfd212657bcab7ff95c59d7664548cdd745","sha256:a425f49a1fd2f54dee51f8faeb858c0d9898ceb3bb7dd53162efec4ed2d0aa0a"],"state_sha256":"5982af6e15750d301a2a8e132690e8621bf2979c7b5e55ae0ba492ea3334e9f8"}