{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:YXG54SF7UWKEMBUMIZ272763DY","short_pith_number":"pith:YXG54SF7","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"},"canonical_sha256":"c5cdde48bfa59446068c4675fd7fdb1e0b0a432bee57f946d40d5957e46f82b9","source":{"kind":"arxiv","id":"1103.4391","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4391","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4391v4","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4391","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"pith_short_12","alias_value":"YXG54SF7UWKE","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YXG54SF7UWKEMBUM","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YXG54SF7","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:YXG54SF7UWKEMBUMIZ272763DY","target":"record","payload":{"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"},"canonical_sha256":"c5cdde48bfa59446068c4675fd7fdb1e0b0a432bee57f946d40d5957e46f82b9","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"},"source_kind":"arxiv","source_id":"1103.4391","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:50:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cjsvd1yTXnmgu7WcALbzychxFV/F0zTAKC7PMZrlzJr9imeNoH/rUG3U266a7r7pTpl/+1ch1hr/wdGq4SygAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T11:41:57.553406Z"},"content_sha256":"7451760d850b2eb59e4e52edc6e4ce62cc4af4aae75f0d9b4c960f2931ee8417","schema_version":"1.0","event_id":"sha256:7451760d850b2eb59e4e52edc6e4ce62cc4af4aae75f0d9b4c960f2931ee8417"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:YXG54SF7UWKEMBUMIZ272763DY","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:50:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4EwgiXg0Ofg7DpKJxkfhhNukRnInSNbBqa/AESuU+cyfhdDDr08rrzxuk5iC7Yzz3F/P0TIkptC8LWI56aJwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T11:41:57.553755Z"},"content_sha256":"0d88c921bc29b6e2880599a3a5f494247720e425f894d724c21cae6a8d76ef36","schema_version":"1.0","event_id":"sha256:0d88c921bc29b6e2880599a3a5f494247720e425f894d724c21cae6a8d76ef36"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY/bundle.json","state_url":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YXG54SF7UWKEMBUMIZ272763DY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-29T11:41:57Z","links":{"resolver":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY","bundle":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY/bundle.json","state":"https://pith.science/pith/YXG54SF7UWKEMBUMIZ272763DY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YXG54SF7UWKEMBUMIZ272763DY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YXG54SF7UWKEMBUMIZ272763DY","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":"04582bf1b174345d3e19be16dd8353c86fff060758da06c775a1bbcd91da2d9e","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-03-22T21:35:23Z","title_canon_sha256":"00ae943529aaf0b99f200a4d008db1146b7f5f77ae05e4efeb2593e08aa183b6"},"schema_version":"1.0","source":{"id":"1103.4391","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4391","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4391v4","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4391","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"pith_short_12","alias_value":"YXG54SF7UWKE","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YXG54SF7UWKEMBUM","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YXG54SF7","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:0d88c921bc29b6e2880599a3a5f494247720e425f894d724c21cae6a8d76ef36","target":"graph","created_at":"2026-05-18T00:50:43Z","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":"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.","authors_text":"Panagiotis Batakidis","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-03-22T21:35:23Z","title":"On the isomorphism between the reduction algebra and the invariant differential operators on Lie groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4391","kind":"arxiv","version":4},"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":"sha256:7451760d850b2eb59e4e52edc6e4ce62cc4af4aae75f0d9b4c960f2931ee8417","target":"record","created_at":"2026-05-18T00:50:43Z","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":"04582bf1b174345d3e19be16dd8353c86fff060758da06c775a1bbcd91da2d9e","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-03-22T21:35:23Z","title_canon_sha256":"00ae943529aaf0b99f200a4d008db1146b7f5f77ae05e4efeb2593e08aa183b6"},"schema_version":"1.0","source":{"id":"1103.4391","kind":"arxiv","version":4}},"canonical_sha256":"c5cdde48bfa59446068c4675fd7fdb1e0b0a432bee57f946d40d5957e46f82b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5cdde48bfa59446068c4675fd7fdb1e0b0a432bee57f946d40d5957e46f82b9","first_computed_at":"2026-05-18T00:50:43.400610Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:43.400610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/iW/k+bLvYajQSVeB8LS+gO2lzfvn6vJBQyEdMqCFFuUldEOik2M6qukQbdwYOcEt0ugRsxiWuB9Pxorrj8aCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:43.401119Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.4391","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7451760d850b2eb59e4e52edc6e4ce62cc4af4aae75f0d9b4c960f2931ee8417","sha256:0d88c921bc29b6e2880599a3a5f494247720e425f894d724c21cae6a8d76ef36"],"state_sha256":"a1f7ae6468556752eadc669d3151ff8951df24f0c048ea1b12b78fbaf5d9442c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sBW6ca4osNZoS4aSdUpcZIedE5E9Ez0JTsyPM/ShjWj7hwxj4fWOYNeKGe5z4NshteKhDif/ioPi3UVIb86/BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T11:41:57.555868Z","bundle_sha256":"dbdcf0a5a02bec6526a6da33a7fe8d29c1d5c9de6ac5cb133ad731618a646276"}}