{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:E6LTWWJJMHQ535NS5ISUHY56PM","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":"b415ab4b7a70a2ee07bc37e884e1963737a76534d60b6ca70a6b68a026629a82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-09-07T20:45:42Z","title_canon_sha256":"5910648539713a301c7339fb1fbc4556c3fa522832b2657b33b7053cdd2b596a"},"schema_version":"1.0","source":{"id":"1309.1904","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.1904","created_at":"2026-05-18T03:13:57Z"},{"alias_kind":"arxiv_version","alias_value":"1309.1904v1","created_at":"2026-05-18T03:13:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.1904","created_at":"2026-05-18T03:13:57Z"},{"alias_kind":"pith_short_12","alias_value":"E6LTWWJJMHQ5","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E6LTWWJJMHQ535NS","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E6LTWWJJ","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:94b7d416fd398be3e101e4058a6ed053b766c150be0eff233fd78ef750381321","target":"graph","created_at":"2026-05-18T03:13:57Z","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 use group representation theory to give algebraic formulae to compute complete transversals of singularities of vector fields, either in the nonsymmetric or in the reversible equivariant contexts. This computation produces normal forms directly, which are used sistematically in the local analysis of symmetric dynamics.","authors_text":"Iris de Oliveira Zeli, Miriam Manoel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-09-07T20:45:42Z","title":"Complete transversals of reversible equivariant singularities of vector fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.1904","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:dc6d6c7bc7e9dbc318090d76fda01558d12046af5c9cdba580a2d199863fa9e5","target":"record","created_at":"2026-05-18T03:13:57Z","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":"b415ab4b7a70a2ee07bc37e884e1963737a76534d60b6ca70a6b68a026629a82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-09-07T20:45:42Z","title_canon_sha256":"5910648539713a301c7339fb1fbc4556c3fa522832b2657b33b7053cdd2b596a"},"schema_version":"1.0","source":{"id":"1309.1904","kind":"arxiv","version":1}},"canonical_sha256":"27973b592961e1ddf5b2ea2543e3be7b1f3b740f136621e8352dd5a0c2d0b853","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27973b592961e1ddf5b2ea2543e3be7b1f3b740f136621e8352dd5a0c2d0b853","first_computed_at":"2026-05-18T03:13:57.122717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:57.122717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"03ZZj1gniHGXlr2m3xH53hJapC2KPcZ3Aic5FwJ+sIlHLJGG2PeiTM0dfxzgK4Gux7MF7u7/2Gqg+b0YK7SLDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:57.123726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.1904","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc6d6c7bc7e9dbc318090d76fda01558d12046af5c9cdba580a2d199863fa9e5","sha256:94b7d416fd398be3e101e4058a6ed053b766c150be0eff233fd78ef750381321"],"state_sha256":"2fbb861ef4855c7b33d20319174ce5c43db0cc96d001d0b184d344c94a67d4c4"}