{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:TCGKYEP6OMO5U5B2IMEICWDG2B","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":"77430a73ad49d33b6aac7cca1d8e81d5d81eb2b3d9d80f497c39cf6ca584f1ed","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2003-10-31T17:40:55Z","title_canon_sha256":"9d1fe754d23b6f84e4dfe11239a296a9a3a06c2bd0613ad11fc9844158c5c569"},"schema_version":"1.0","source":{"id":"math/0310494","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0310494","created_at":"2026-05-18T01:38:28Z"},{"alias_kind":"arxiv_version","alias_value":"math/0310494v1","created_at":"2026-05-18T01:38:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0310494","created_at":"2026-05-18T01:38:28Z"},{"alias_kind":"pith_short_12","alias_value":"TCGKYEP6OMO5","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"TCGKYEP6OMO5U5B2","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"TCGKYEP6","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:a74a1eb0c2cd20d20c853fc53fe8727a9ff750c11fde36f4dda4c66610b5ed3d","target":"graph","created_at":"2026-05-18T01:38:28Z","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 study non-trivial deformations of the natural action of the Lie algebra $\\mathrm{Vect}({\\mathbb R}^n)$ on the space of differential forms on ${\\mathbb R}^n$. We calculate abstractions for integrability of infinitesimal multi-parameter deformations and determine the commutative associative algebra corresponding to the miniversal deformation in the sense of \\cite{ff}.","authors_text":"B. Agrebaoui, M. Ben Ammar, N. Ben Fraj, V. Ovsienko","cross_cats":[],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2003-10-31T17:40:55Z","title":"Deformations of modules of differential forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0310494","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":"sha256:4715cf44ffbfd4f850c7a4d1e3fdc13194336d7a176dd80b262b4467053d6afb","target":"record","created_at":"2026-05-18T01:38:28Z","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":"77430a73ad49d33b6aac7cca1d8e81d5d81eb2b3d9d80f497c39cf6ca584f1ed","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2003-10-31T17:40:55Z","title_canon_sha256":"9d1fe754d23b6f84e4dfe11239a296a9a3a06c2bd0613ad11fc9844158c5c569"},"schema_version":"1.0","source":{"id":"math/0310494","kind":"arxiv","version":1}},"canonical_sha256":"988cac11fe731dda743a4308815866d063488787967d13cb863c4b57a05fe1dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"988cac11fe731dda743a4308815866d063488787967d13cb863c4b57a05fe1dd","first_computed_at":"2026-05-18T01:38:28.744195Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:28.744195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wfe8s4u9Id+Sqo0B3YzCiswtFIuqj1LHmcxenew1hSbrrcxgPF61nu9LCSAhQus/3hfW3w2q7+1bgYQyfIPnBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:28.744984Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0310494","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4715cf44ffbfd4f850c7a4d1e3fdc13194336d7a176dd80b262b4467053d6afb","sha256:a74a1eb0c2cd20d20c853fc53fe8727a9ff750c11fde36f4dda4c66610b5ed3d"],"state_sha256":"997b2113adfcffb7b4f337df9ab7f1a511515737986a8d6f172ed2608f6fac35"}