{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PDM4O4KCYMQ3DQJ53HBXP2UHAP","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":"0b44bdf6289217a2becb04848fd6b47d75bac51751f36bb1eb99e267e4febb4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-02-26T16:19:13Z","title_canon_sha256":"148d4c12aba42dc16cc66150ef5ed993e790fab5e87a0f9845f7369bc851b62e"},"schema_version":"1.0","source":{"id":"1802.09432","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.09432","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"arxiv_version","alias_value":"1802.09432v1","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.09432","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"pith_short_12","alias_value":"PDM4O4KCYMQ3","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PDM4O4KCYMQ3DQJ5","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PDM4O4KC","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:8ade8f579d3b186c5b5fe79554c6b4d1a24b34ce17d221edd5d4bc1855c3f947","target":"graph","created_at":"2026-05-18T00:22:33Z","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 exhibit an example of a filiform (complex) Lie algebra of dimension 13 with all its ideals of codimension 1 being characteristically nilpotent, and we construct a non trivial filiform deformation of it.","authors_text":"Joan Felipe Herrera-Granada, Paulo Tirao, Sonia Vera","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-02-26T16:19:13Z","title":"A distinguished example of filiform deformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.09432","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":"sha256:7379d1961c5a755f5563a8c8d46bcf6461035110a5cfcfd40371f4294b6fc113","target":"record","created_at":"2026-05-18T00:22:33Z","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":"0b44bdf6289217a2becb04848fd6b47d75bac51751f36bb1eb99e267e4febb4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-02-26T16:19:13Z","title_canon_sha256":"148d4c12aba42dc16cc66150ef5ed993e790fab5e87a0f9845f7369bc851b62e"},"schema_version":"1.0","source":{"id":"1802.09432","kind":"arxiv","version":1}},"canonical_sha256":"78d9c77142c321b1c13dd9c377ea8703de0199112cf50db6550c9c59b6bd1a8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78d9c77142c321b1c13dd9c377ea8703de0199112cf50db6550c9c59b6bd1a8b","first_computed_at":"2026-05-18T00:22:33.708734Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:33.708734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eZJOHIZmZrFHRfaHko+NB1RKYAdVACSkxlV/GIo/hvVZ2PGu7eS7eq2jGXQPoxra4Tui5hN+T59E47AeERmnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:33.709324Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.09432","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7379d1961c5a755f5563a8c8d46bcf6461035110a5cfcfd40371f4294b6fc113","sha256:8ade8f579d3b186c5b5fe79554c6b4d1a24b34ce17d221edd5d4bc1855c3f947"],"state_sha256":"d7f96ea3468ece59557b07e5c34cf038b3dd1d8dca33af34180dd909968df4c8"}