{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:TCGKYEP6OMO5U5B2IMEICWDG2B","short_pith_number":"pith:TCGKYEP6","schema_version":"1.0","canonical_sha256":"988cac11fe731dda743a4308815866d063488787967d13cb863c4b57a05fe1dd","source":{"kind":"arxiv","id":"math/0310494","version":1},"attestation_state":"computed","paper":{"title":"Deformations of modules of differential forms","license":"","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"B. Agrebaoui, M. Ben Ammar, N. Ben Fraj, V. Ovsienko","submitted_at":"2003-10-31T17:40:55Z","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}."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math/0310494","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2003-10-31T17:40:55Z","cross_cats_sorted":[],"title_canon_sha256":"9d1fe754d23b6f84e4dfe11239a296a9a3a06c2bd0613ad11fc9844158c5c569","abstract_canon_sha256":"77430a73ad49d33b6aac7cca1d8e81d5d81eb2b3d9d80f497c39cf6ca584f1ed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:28.744984Z","signature_b64":"wfe8s4u9Id+Sqo0B3YzCiswtFIuqj1LHmcxenew1hSbrrcxgPF61nu9LCSAhQus/3hfW3w2q7+1bgYQyfIPnBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"988cac11fe731dda743a4308815866d063488787967d13cb863c4b57a05fe1dd","last_reissued_at":"2026-05-18T01:38:28.744195Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:28.744195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deformations of modules of differential forms","license":"","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"B. Agrebaoui, M. Ben Ammar, N. Ben Fraj, V. Ovsienko","submitted_at":"2003-10-31T17:40:55Z","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}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0310494","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0310494","created_at":"2026-05-18T01:38:28.744310+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0310494v1","created_at":"2026-05-18T01:38:28.744310+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0310494","created_at":"2026-05-18T01:38:28.744310+00:00"},{"alias_kind":"pith_short_12","alias_value":"TCGKYEP6OMO5","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"TCGKYEP6OMO5U5B2","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"TCGKYEP6","created_at":"2026-05-18T12:25:52.051335+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TCGKYEP6OMO5U5B2IMEICWDG2B","json":"https://pith.science/pith/TCGKYEP6OMO5U5B2IMEICWDG2B.json","graph_json":"https://pith.science/api/pith-number/TCGKYEP6OMO5U5B2IMEICWDG2B/graph.json","events_json":"https://pith.science/api/pith-number/TCGKYEP6OMO5U5B2IMEICWDG2B/events.json","paper":"https://pith.science/paper/TCGKYEP6"},"agent_actions":{"view_html":"https://pith.science/pith/TCGKYEP6OMO5U5B2IMEICWDG2B","download_json":"https://pith.science/pith/TCGKYEP6OMO5U5B2IMEICWDG2B.json","view_paper":"https://pith.science/paper/TCGKYEP6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0310494&json=true","fetch_graph":"https://pith.science/api/pith-number/TCGKYEP6OMO5U5B2IMEICWDG2B/graph.json","fetch_events":"https://pith.science/api/pith-number/TCGKYEP6OMO5U5B2IMEICWDG2B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TCGKYEP6OMO5U5B2IMEICWDG2B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TCGKYEP6OMO5U5B2IMEICWDG2B/action/storage_attestation","attest_author":"https://pith.science/pith/TCGKYEP6OMO5U5B2IMEICWDG2B/action/author_attestation","sign_citation":"https://pith.science/pith/TCGKYEP6OMO5U5B2IMEICWDG2B/action/citation_signature","submit_replication":"https://pith.science/pith/TCGKYEP6OMO5U5B2IMEICWDG2B/action/replication_record"}},"created_at":"2026-05-18T01:38:28.744310+00:00","updated_at":"2026-05-18T01:38:28.744310+00:00"}