{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:YXG54SF7UWKEMBUMIZ272763DY","short_pith_number":"pith:YXG54SF7","schema_version":"1.0","canonical_sha256":"c5cdde48bfa59446068c4675fd7fdb1e0b0a432bee57f946d40d5957e46f82b9","source":{"kind":"arxiv","id":"1103.4391","version":4},"attestation_state":"computed","paper":{"title":"On the isomorphism between the reduction algebra and the invariant differential operators on Lie groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Panagiotis Batakidis","submitted_at":"2011-03-22T21:35:23Z","abstract_excerpt":"Using techniques of deformation (bi)quantization we establish a non-canonical algebra isomorphism between the deformed reduction algebra and the invariant differential operators on G/H. Further results concerning other deformations of these two algebras are also proved. Part of the author's PhD thesis at University Paris 7, 2009."},"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":"1103.4391","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-03-22T21:35:23Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"00ae943529aaf0b99f200a4d008db1146b7f5f77ae05e4efeb2593e08aa183b6","abstract_canon_sha256":"04582bf1b174345d3e19be16dd8353c86fff060758da06c775a1bbcd91da2d9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:43.401119Z","signature_b64":"/iW/k+bLvYajQSVeB8LS+gO2lzfvn6vJBQyEdMqCFFuUldEOik2M6qukQbdwYOcEt0ugRsxiWuB9Pxorrj8aCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5cdde48bfa59446068c4675fd7fdb1e0b0a432bee57f946d40d5957e46f82b9","last_reissued_at":"2026-05-18T00:50:43.400610Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:43.400610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the isomorphism between the reduction algebra and the invariant differential operators on Lie groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Panagiotis Batakidis","submitted_at":"2011-03-22T21:35:23Z","abstract_excerpt":"Using techniques of deformation (bi)quantization we establish a non-canonical algebra isomorphism between the deformed reduction algebra and the invariant differential operators on G/H. Further results concerning other deformations of these two algebras are also proved. Part of the author's PhD thesis at University Paris 7, 2009."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4391","kind":"arxiv","version":4},"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":"1103.4391","created_at":"2026-05-18T00:50:43.400684+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.4391v4","created_at":"2026-05-18T00:50:43.400684+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4391","created_at":"2026-05-18T00:50:43.400684+00:00"},{"alias_kind":"pith_short_12","alias_value":"YXG54SF7UWKE","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"YXG54SF7UWKEMBUM","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"YXG54SF7","created_at":"2026-05-18T12:26:47.523578+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/YXG54SF7UWKEMBUMIZ272763DY","json":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY.json","graph_json":"https://pith.science/api/pith-number/YXG54SF7UWKEMBUMIZ272763DY/graph.json","events_json":"https://pith.science/api/pith-number/YXG54SF7UWKEMBUMIZ272763DY/events.json","paper":"https://pith.science/paper/YXG54SF7"},"agent_actions":{"view_html":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY","download_json":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY.json","view_paper":"https://pith.science/paper/YXG54SF7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.4391&json=true","fetch_graph":"https://pith.science/api/pith-number/YXG54SF7UWKEMBUMIZ272763DY/graph.json","fetch_events":"https://pith.science/api/pith-number/YXG54SF7UWKEMBUMIZ272763DY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY/action/storage_attestation","attest_author":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY/action/author_attestation","sign_citation":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY/action/citation_signature","submit_replication":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY/action/replication_record"}},"created_at":"2026-05-18T00:50:43.400684+00:00","updated_at":"2026-05-18T00:50:43.400684+00:00"}