{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:GINVWATXJVCPKFNBTSQNME3M3Z","short_pith_number":"pith:GINVWATX","schema_version":"1.0","canonical_sha256":"321b5b02774d44f515a19ca0d6136cde52b9f47b67c06f7d4a8f5342a4f1ab59","source":{"kind":"arxiv","id":"1011.2370","version":2},"attestation_state":"computed","paper":{"title":"Deformation Quantization for Heisenberg Supergroup","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP","math.OA"],"primary_cat":"math.QA","authors_text":"Axel de Goursac, Gijs Tuynman, Pierre Bieliavsky","submitted_at":"2010-11-10T13:10:22Z","abstract_excerpt":"We construct a non-formal deformation machinery for the actions of the Heisenberg supergroup analogue to the one developed by M. Rieffel for the actions of R^d. However, the method used here differs from Rieffel's one: we obtain a Universal Deformation Formula for the actions of R^{m|n} as a byproduct of Weyl ordered Kirillov's orbit method adapted to the graded setting. To do so, we have to introduce the notion of C*-superalgebra, which is compatible with the deformation, and which can be seen as corresponding to noncommutative superspaces. We also use this construction to interpret the renor"},"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":"1011.2370","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-11-10T13:10:22Z","cross_cats_sorted":["math-ph","math.DG","math.MP","math.OA"],"title_canon_sha256":"e4e8f18eb93f85a360ba71067919a3c4e9a33e980b9cf89e0e43b9f1a7578ed8","abstract_canon_sha256":"e745908ef6bf88818b24a6f4b0636bdfba898814d755bc7e3d28d46c546cefe3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:00.574054Z","signature_b64":"e9SfqmxlOWdOmu3ZT+ilPDiqT3AoAqQgTTcsv68DiDf7zG9A0BbLa1uxhJM0ZbT+tI3C2OuaShYzRxK1ym+uAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"321b5b02774d44f515a19ca0d6136cde52b9f47b67c06f7d4a8f5342a4f1ab59","last_reissued_at":"2026-05-18T03:55:00.573372Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:00.573372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deformation Quantization for Heisenberg Supergroup","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP","math.OA"],"primary_cat":"math.QA","authors_text":"Axel de Goursac, Gijs Tuynman, Pierre Bieliavsky","submitted_at":"2010-11-10T13:10:22Z","abstract_excerpt":"We construct a non-formal deformation machinery for the actions of the Heisenberg supergroup analogue to the one developed by M. Rieffel for the actions of R^d. However, the method used here differs from Rieffel's one: we obtain a Universal Deformation Formula for the actions of R^{m|n} as a byproduct of Weyl ordered Kirillov's orbit method adapted to the graded setting. To do so, we have to introduce the notion of C*-superalgebra, which is compatible with the deformation, and which can be seen as corresponding to noncommutative superspaces. We also use this construction to interpret the renor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2370","kind":"arxiv","version":2},"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":"1011.2370","created_at":"2026-05-18T03:55:00.573474+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.2370v2","created_at":"2026-05-18T03:55:00.573474+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2370","created_at":"2026-05-18T03:55:00.573474+00:00"},{"alias_kind":"pith_short_12","alias_value":"GINVWATXJVCP","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"GINVWATXJVCPKFNB","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"GINVWATX","created_at":"2026-05-18T12:26:07.630475+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/GINVWATXJVCPKFNBTSQNME3M3Z","json":"https://pith.science/pith/GINVWATXJVCPKFNBTSQNME3M3Z.json","graph_json":"https://pith.science/api/pith-number/GINVWATXJVCPKFNBTSQNME3M3Z/graph.json","events_json":"https://pith.science/api/pith-number/GINVWATXJVCPKFNBTSQNME3M3Z/events.json","paper":"https://pith.science/paper/GINVWATX"},"agent_actions":{"view_html":"https://pith.science/pith/GINVWATXJVCPKFNBTSQNME3M3Z","download_json":"https://pith.science/pith/GINVWATXJVCPKFNBTSQNME3M3Z.json","view_paper":"https://pith.science/paper/GINVWATX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.2370&json=true","fetch_graph":"https://pith.science/api/pith-number/GINVWATXJVCPKFNBTSQNME3M3Z/graph.json","fetch_events":"https://pith.science/api/pith-number/GINVWATXJVCPKFNBTSQNME3M3Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GINVWATXJVCPKFNBTSQNME3M3Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GINVWATXJVCPKFNBTSQNME3M3Z/action/storage_attestation","attest_author":"https://pith.science/pith/GINVWATXJVCPKFNBTSQNME3M3Z/action/author_attestation","sign_citation":"https://pith.science/pith/GINVWATXJVCPKFNBTSQNME3M3Z/action/citation_signature","submit_replication":"https://pith.science/pith/GINVWATXJVCPKFNBTSQNME3M3Z/action/replication_record"}},"created_at":"2026-05-18T03:55:00.573474+00:00","updated_at":"2026-05-18T03:55:00.573474+00:00"}