{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:SZPZNVWFB57SVYXPUI6B466LW5","short_pith_number":"pith:SZPZNVWF","canonical_record":{"source":{"id":"1509.01165","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-09-03T17:13:30Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"b18c42ea48a413e3b30e626271c5ff64d14e1aaf3fcaef01d6129bf5f82f29e7","abstract_canon_sha256":"d46bbf241118d5141fc60d4bb2cc2956264007d64ddfca9487ee9e0a7be14343"},"schema_version":"1.0"},"canonical_sha256":"965f96d6c50f7f2ae2efa23c1e7bcbb761bd872e65ac597fa14f499702b45755","source":{"kind":"arxiv","id":"1509.01165","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.01165","created_at":"2026-05-18T01:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"1509.01165v2","created_at":"2026-05-18T01:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01165","created_at":"2026-05-18T01:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"SZPZNVWFB57S","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SZPZNVWFB57SVYXP","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SZPZNVWF","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:SZPZNVWFB57SVYXPUI6B466LW5","target":"record","payload":{"canonical_record":{"source":{"id":"1509.01165","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-09-03T17:13:30Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"b18c42ea48a413e3b30e626271c5ff64d14e1aaf3fcaef01d6129bf5f82f29e7","abstract_canon_sha256":"d46bbf241118d5141fc60d4bb2cc2956264007d64ddfca9487ee9e0a7be14343"},"schema_version":"1.0"},"canonical_sha256":"965f96d6c50f7f2ae2efa23c1e7bcbb761bd872e65ac597fa14f499702b45755","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:08.511818Z","signature_b64":"sB+RSrwVCQnBxrfK/cKHIVQZKsVUzoxRZUWPzgAfq1oQb1SEy6FYXLi7X7gbBPoBtXNhhpMwSg9PAmunuITFCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"965f96d6c50f7f2ae2efa23c1e7bcbb761bd872e65ac597fa14f499702b45755","last_reissued_at":"2026-05-18T01:11:08.511296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:08.511296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.01165","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q2VtVsaYFI1taTw9WpWy7YmadE9L2SdQBHWnzHxtO4PiB8DtY8fOqR7n/fIlLdG/ycJkl6YYi1RA4662EU9YBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T16:07:15.090052Z"},"content_sha256":"af088bda9afb75876df6f88c4d1fb3647be35b7ecc4caadd8902826b199d67d1","schema_version":"1.0","event_id":"sha256:af088bda9afb75876df6f88c4d1fb3647be35b7ecc4caadd8902826b199d67d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:SZPZNVWFB57SVYXPUI6B466LW5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite dimensional Hopf actions on Weyl algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RA","authors_text":"Chelsea Walton, Juan Cuadra, Pavel Etingof","submitted_at":"2015-09-03T17:13:30Z","abstract_excerpt":"We prove that any action of a finite dimensional Hopf algebra H on a Weyl algebra A over an algebraically closed field of characteristic zero factors through a group action. In other words, Weyl algebras do not admit genuine finite quantum symmetries. This improves a previous result by the authors, where the statement was established for semisimple H. The proof relies on a refinement of the method previously used: namely, considering reductions of the action of H on A modulo prime powers rather than primes. We also show that the result holds, more generally, for algebras of differential operat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01165","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s4VqNZmRk8xbaTej/Z9wFmJpE4yK6FM+4gyt5nLlY0Xneli6HeWEor7nMXh/Hk+1LLSdPlAzuvJPObEsloBAAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T16:07:15.090407Z"},"content_sha256":"572e52ae8527ce0bba7eaccf3eb52bc3034fb0a20d3e48b0af86df3476f5e26a","schema_version":"1.0","event_id":"sha256:572e52ae8527ce0bba7eaccf3eb52bc3034fb0a20d3e48b0af86df3476f5e26a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SZPZNVWFB57SVYXPUI6B466LW5/bundle.json","state_url":"https://pith.science/pith/SZPZNVWFB57SVYXPUI6B466LW5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SZPZNVWFB57SVYXPUI6B466LW5/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":"2026-06-30T16:07:15Z","links":{"resolver":"https://pith.science/pith/SZPZNVWFB57SVYXPUI6B466LW5","bundle":"https://pith.science/pith/SZPZNVWFB57SVYXPUI6B466LW5/bundle.json","state":"https://pith.science/pith/SZPZNVWFB57SVYXPUI6B466LW5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SZPZNVWFB57SVYXPUI6B466LW5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SZPZNVWFB57SVYXPUI6B466LW5","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":"d46bbf241118d5141fc60d4bb2cc2956264007d64ddfca9487ee9e0a7be14343","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-09-03T17:13:30Z","title_canon_sha256":"b18c42ea48a413e3b30e626271c5ff64d14e1aaf3fcaef01d6129bf5f82f29e7"},"schema_version":"1.0","source":{"id":"1509.01165","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.01165","created_at":"2026-05-18T01:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"1509.01165v2","created_at":"2026-05-18T01:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01165","created_at":"2026-05-18T01:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"SZPZNVWFB57S","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SZPZNVWFB57SVYXP","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SZPZNVWF","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:572e52ae8527ce0bba7eaccf3eb52bc3034fb0a20d3e48b0af86df3476f5e26a","target":"graph","created_at":"2026-05-18T01:11:08Z","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 prove that any action of a finite dimensional Hopf algebra H on a Weyl algebra A over an algebraically closed field of characteristic zero factors through a group action. In other words, Weyl algebras do not admit genuine finite quantum symmetries. This improves a previous result by the authors, where the statement was established for semisimple H. The proof relies on a refinement of the method previously used: namely, considering reductions of the action of H on A modulo prime powers rather than primes. We also show that the result holds, more generally, for algebras of differential operat","authors_text":"Chelsea Walton, Juan Cuadra, Pavel Etingof","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-09-03T17:13:30Z","title":"Finite dimensional Hopf actions on Weyl algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01165","kind":"arxiv","version":2},"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:af088bda9afb75876df6f88c4d1fb3647be35b7ecc4caadd8902826b199d67d1","target":"record","created_at":"2026-05-18T01:11:08Z","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":"d46bbf241118d5141fc60d4bb2cc2956264007d64ddfca9487ee9e0a7be14343","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-09-03T17:13:30Z","title_canon_sha256":"b18c42ea48a413e3b30e626271c5ff64d14e1aaf3fcaef01d6129bf5f82f29e7"},"schema_version":"1.0","source":{"id":"1509.01165","kind":"arxiv","version":2}},"canonical_sha256":"965f96d6c50f7f2ae2efa23c1e7bcbb761bd872e65ac597fa14f499702b45755","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"965f96d6c50f7f2ae2efa23c1e7bcbb761bd872e65ac597fa14f499702b45755","first_computed_at":"2026-05-18T01:11:08.511296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:08.511296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sB+RSrwVCQnBxrfK/cKHIVQZKsVUzoxRZUWPzgAfq1oQb1SEy6FYXLi7X7gbBPoBtXNhhpMwSg9PAmunuITFCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:08.511818Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.01165","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af088bda9afb75876df6f88c4d1fb3647be35b7ecc4caadd8902826b199d67d1","sha256:572e52ae8527ce0bba7eaccf3eb52bc3034fb0a20d3e48b0af86df3476f5e26a"],"state_sha256":"977f649af2cb842dbcd414ac762f81b2ea33cef78f4a41126316e7a17c0ceb26"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TWVHctQC6oK384qeJgy/Z88KKmoNLSWsGtVJo7uwyFLPmMR4EDitNC1dw2BKmbGzFhsGLqv6EyAn2HTYDRIrAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T16:07:15.092214Z","bundle_sha256":"514588f1b91a832a281379f4009a626ec5259039f8c661dcf25eb2dfa75a5a13"}}