{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ASTLN6H2QTMKY7TZW3E45LIHKT","short_pith_number":"pith:ASTLN6H2","canonical_record":{"source":{"id":"1206.4417","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-06-20T09:04:00Z","cross_cats_sorted":[],"title_canon_sha256":"79c8cc509be4bea5312a9d20b1e4e46a1d22086428b5fcdfa66ae0b72891b26d","abstract_canon_sha256":"dc74d952491a0eab366f38662b5f9107fc57597d3b6f2a1fb0882561b0a609bb"},"schema_version":"1.0"},"canonical_sha256":"04a6b6f8fa84d8ac7e79b6c9cead0754e939f0bc8044097b0f3524649c9cdaa3","source":{"kind":"arxiv","id":"1206.4417","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.4417","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"arxiv_version","alias_value":"1206.4417v2","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.4417","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"pith_short_12","alias_value":"ASTLN6H2QTMK","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"ASTLN6H2QTMKY7TZ","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"ASTLN6H2","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ASTLN6H2QTMKY7TZW3E45LIHKT","target":"record","payload":{"canonical_record":{"source":{"id":"1206.4417","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-06-20T09:04:00Z","cross_cats_sorted":[],"title_canon_sha256":"79c8cc509be4bea5312a9d20b1e4e46a1d22086428b5fcdfa66ae0b72891b26d","abstract_canon_sha256":"dc74d952491a0eab366f38662b5f9107fc57597d3b6f2a1fb0882561b0a609bb"},"schema_version":"1.0"},"canonical_sha256":"04a6b6f8fa84d8ac7e79b6c9cead0754e939f0bc8044097b0f3524649c9cdaa3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:31.752824Z","signature_b64":"fe+uEitMPw9llwqnCvq4nMAaQu71usJYikN5d5smKRbjJrfeLzvtfIsYCGYLXGcQ+K0HDUgk9n+v65c7cLm1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04a6b6f8fa84d8ac7e79b6c9cead0754e939f0bc8044097b0f3524649c9cdaa3","last_reissued_at":"2026-05-18T00:09:31.752240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:31.752240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.4417","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":"2026-05-18T00:09:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tmUtfI/gzeQMGYNiYh1lTDOUdGPDD4D/F14Tv2GiAbHOarvNDGfxhFKNUuLcrbILN2oE1qLV3dcDPwRjH+E6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T20:39:16.400679Z"},"content_sha256":"2f19314b8638bc81d0712680f6edf5680b150d6a90a12c720051bba7a184ca44","schema_version":"1.0","event_id":"sha256:2f19314b8638bc81d0712680f6edf5680b150d6a90a12c720051bba7a184ca44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ASTLN6H2QTMKY7TZW3E45LIHKT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Automorphisms and isomorphism of quantum generalized Weyl algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Mariano Su\\'arez-Alvarez, Quimey Vivas","submitted_at":"2012-06-20T09:04:00Z","abstract_excerpt":"We classify up to isomorphism the quantum generalized Weyl algebras and determine their automorphism groups in all cases in a uniform way, including those where the parameter q is a root of unity, thereby completing the results obtained by [Bavula, V. V.; Jordan, D. A. Isomorphism problems and groups of automorphisms for generalized Weyl algebras. Trans. Amer. Math. Soc. 353 (2001), no. 2, 769-794] and [Richard, L.; Solotar, A. Isomorphisms between quantum generalized Weyl algebras. J. Algebra Appl. 5 (2006), no. 3, 271-285]"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.4417","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":"2026-05-18T00:09:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GG/WahWuYtQnHVUcb4+i8cgREkF06nJFjtYdGlOaxSjG9Vu5GKf/3RFH69NyK93imZhRj3YIQWOZ4GMXcrbWBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T20:39:16.401015Z"},"content_sha256":"d38208bc0efe0b4b6ce3e1fc81548c5731c242c309dab1c2773d878f77a7334f","schema_version":"1.0","event_id":"sha256:d38208bc0efe0b4b6ce3e1fc81548c5731c242c309dab1c2773d878f77a7334f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ASTLN6H2QTMKY7TZW3E45LIHKT/bundle.json","state_url":"https://pith.science/pith/ASTLN6H2QTMKY7TZW3E45LIHKT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ASTLN6H2QTMKY7TZW3E45LIHKT/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":"2026-06-28T20:39:16Z","links":{"resolver":"https://pith.science/pith/ASTLN6H2QTMKY7TZW3E45LIHKT","bundle":"https://pith.science/pith/ASTLN6H2QTMKY7TZW3E45LIHKT/bundle.json","state":"https://pith.science/pith/ASTLN6H2QTMKY7TZW3E45LIHKT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ASTLN6H2QTMKY7TZW3E45LIHKT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ASTLN6H2QTMKY7TZW3E45LIHKT","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":"dc74d952491a0eab366f38662b5f9107fc57597d3b6f2a1fb0882561b0a609bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-06-20T09:04:00Z","title_canon_sha256":"79c8cc509be4bea5312a9d20b1e4e46a1d22086428b5fcdfa66ae0b72891b26d"},"schema_version":"1.0","source":{"id":"1206.4417","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.4417","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"arxiv_version","alias_value":"1206.4417v2","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.4417","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"pith_short_12","alias_value":"ASTLN6H2QTMK","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"ASTLN6H2QTMKY7TZ","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"ASTLN6H2","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:d38208bc0efe0b4b6ce3e1fc81548c5731c242c309dab1c2773d878f77a7334f","target":"graph","created_at":"2026-05-18T00:09:31Z","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 classify up to isomorphism the quantum generalized Weyl algebras and determine their automorphism groups in all cases in a uniform way, including those where the parameter q is a root of unity, thereby completing the results obtained by [Bavula, V. V.; Jordan, D. A. Isomorphism problems and groups of automorphisms for generalized Weyl algebras. Trans. Amer. Math. Soc. 353 (2001), no. 2, 769-794] and [Richard, L.; Solotar, A. Isomorphisms between quantum generalized Weyl algebras. J. Algebra Appl. 5 (2006), no. 3, 271-285]","authors_text":"Mariano Su\\'arez-Alvarez, Quimey Vivas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-06-20T09:04:00Z","title":"Automorphisms and isomorphism of quantum generalized Weyl algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.4417","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":"sha256:2f19314b8638bc81d0712680f6edf5680b150d6a90a12c720051bba7a184ca44","target":"record","created_at":"2026-05-18T00:09:31Z","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":"dc74d952491a0eab366f38662b5f9107fc57597d3b6f2a1fb0882561b0a609bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-06-20T09:04:00Z","title_canon_sha256":"79c8cc509be4bea5312a9d20b1e4e46a1d22086428b5fcdfa66ae0b72891b26d"},"schema_version":"1.0","source":{"id":"1206.4417","kind":"arxiv","version":2}},"canonical_sha256":"04a6b6f8fa84d8ac7e79b6c9cead0754e939f0bc8044097b0f3524649c9cdaa3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04a6b6f8fa84d8ac7e79b6c9cead0754e939f0bc8044097b0f3524649c9cdaa3","first_computed_at":"2026-05-18T00:09:31.752240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:31.752240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fe+uEitMPw9llwqnCvq4nMAaQu71usJYikN5d5smKRbjJrfeLzvtfIsYCGYLXGcQ+K0HDUgk9n+v65c7cLm1Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:31.752824Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.4417","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f19314b8638bc81d0712680f6edf5680b150d6a90a12c720051bba7a184ca44","sha256:d38208bc0efe0b4b6ce3e1fc81548c5731c242c309dab1c2773d878f77a7334f"],"state_sha256":"606685e6bea5a400c6a6a42a889a8a36e98c7d828c5f0ee16910dcaff7261668"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sb3feawfZ0r/GFVNvEQPXxo3t94Bs2VohZ9CU8zkX50OzhRFSrH5lA+Dl7hPjDdyna+NvhrkPBS8JmHH9ArACQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T20:39:16.403166Z","bundle_sha256":"ec9ad09d146a9d07398f577bf8f560735b29314a17d8c7f82ba139bedfb503e8"}}