{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:6SYHZRL7CCOQ5L5W4ZFG2HOKFB","short_pith_number":"pith:6SYHZRL7","canonical_record":{"source":{"id":"1403.1017","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-03-05T06:47:17Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"58421acf76ab16e4a66f3e3b171c13cc6fc19d1f80fce3b584676f801ab61b98","abstract_canon_sha256":"e7208736cb4d1f2548404a558e93ab70ee25c393cef4d2ea4038055c438e0366"},"schema_version":"1.0"},"canonical_sha256":"f4b07cc57f109d0eafb6e64a6d1dca287e84ef96cc9046f31ed6d4d0d5f22344","source":{"kind":"arxiv","id":"1403.1017","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1017","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1017v3","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1017","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"6SYHZRL7CCOQ","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6SYHZRL7CCOQ5L5W","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6SYHZRL7","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:6SYHZRL7CCOQ5L5W4ZFG2HOKFB","target":"record","payload":{"canonical_record":{"source":{"id":"1403.1017","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-03-05T06:47:17Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"58421acf76ab16e4a66f3e3b171c13cc6fc19d1f80fce3b584676f801ab61b98","abstract_canon_sha256":"e7208736cb4d1f2548404a558e93ab70ee25c393cef4d2ea4038055c438e0366"},"schema_version":"1.0"},"canonical_sha256":"f4b07cc57f109d0eafb6e64a6d1dca287e84ef96cc9046f31ed6d4d0d5f22344","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:30.757980Z","signature_b64":"+QDNf1fYPequnh/5GJ2Xwl6EsU+zR8lnWt0BGd+lv/Mks2aLzM8Vy017pHk2jwDyMsLif3POTO1X6IASvoDkDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4b07cc57f109d0eafb6e64a6d1dca287e84ef96cc9046f31ed6d4d0d5f22344","last_reissued_at":"2026-05-18T00:51:30.757493Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:30.757493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.1017","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5WoaL0Ugt9ZGHx8qFrNYmbtfQKK72jkpBiZyKmWlFvKXlix6gCFwOQBaNGIii2P919EcXMUfv7EBHQQ3fd0eAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T13:36:59.463112Z"},"content_sha256":"0b5f8394f1bc5feaafb27e27ca0676266e556243eee80e5e76f5f0a50ac5f489","schema_version":"1.0","event_id":"sha256:0b5f8394f1bc5feaafb27e27ca0676266e556243eee80e5e76f5f0a50ac5f489"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:6SYHZRL7CCOQ5L5W4ZFG2HOKFB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Explicit generators in rectangular affine W-algebras of type A","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.RT","authors_text":"Alexander Molev, Tomoyuki Arakawa","submitted_at":"2014-03-05T06:47:17Z","abstract_excerpt":"We produce in an explicit form free generators of the affine W-algebra of type A associated with a nilpotent matrix whose Jordan blocks are of the same size. This includes the principal nilpotent case and we thus recover the quantum Miura transformation of Fateev and Lukyanov."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1017","kind":"arxiv","version":3},"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":"2026-05-18T00:51:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yIONnrgK+d8ohdLL1AiHPubi8q0icmv44lWX1skJEi5Da/QpSnZzcKE4hcwivUACbxStfTMUteF9oz38OmAXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T13:36:59.463787Z"},"content_sha256":"efe2d7d2d5ec803011be0fb53d49c727a36533c12bb30c017bbf6281027bf60f","schema_version":"1.0","event_id":"sha256:efe2d7d2d5ec803011be0fb53d49c727a36533c12bb30c017bbf6281027bf60f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6SYHZRL7CCOQ5L5W4ZFG2HOKFB/bundle.json","state_url":"https://pith.science/pith/6SYHZRL7CCOQ5L5W4ZFG2HOKFB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6SYHZRL7CCOQ5L5W4ZFG2HOKFB/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":"2026-05-24T13:36:59Z","links":{"resolver":"https://pith.science/pith/6SYHZRL7CCOQ5L5W4ZFG2HOKFB","bundle":"https://pith.science/pith/6SYHZRL7CCOQ5L5W4ZFG2HOKFB/bundle.json","state":"https://pith.science/pith/6SYHZRL7CCOQ5L5W4ZFG2HOKFB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6SYHZRL7CCOQ5L5W4ZFG2HOKFB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6SYHZRL7CCOQ5L5W4ZFG2HOKFB","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":"e7208736cb4d1f2548404a558e93ab70ee25c393cef4d2ea4038055c438e0366","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-03-05T06:47:17Z","title_canon_sha256":"58421acf76ab16e4a66f3e3b171c13cc6fc19d1f80fce3b584676f801ab61b98"},"schema_version":"1.0","source":{"id":"1403.1017","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1017","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1017v3","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1017","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"6SYHZRL7CCOQ","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6SYHZRL7CCOQ5L5W","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6SYHZRL7","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:efe2d7d2d5ec803011be0fb53d49c727a36533c12bb30c017bbf6281027bf60f","target":"graph","created_at":"2026-05-18T00:51:30Z","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 produce in an explicit form free generators of the affine W-algebra of type A associated with a nilpotent matrix whose Jordan blocks are of the same size. This includes the principal nilpotent case and we thus recover the quantum Miura transformation of Fateev and Lukyanov.","authors_text":"Alexander Molev, Tomoyuki Arakawa","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-03-05T06:47:17Z","title":"Explicit generators in rectangular affine W-algebras of type A"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1017","kind":"arxiv","version":3},"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":"sha256:0b5f8394f1bc5feaafb27e27ca0676266e556243eee80e5e76f5f0a50ac5f489","target":"record","created_at":"2026-05-18T00:51:30Z","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":"e7208736cb4d1f2548404a558e93ab70ee25c393cef4d2ea4038055c438e0366","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-03-05T06:47:17Z","title_canon_sha256":"58421acf76ab16e4a66f3e3b171c13cc6fc19d1f80fce3b584676f801ab61b98"},"schema_version":"1.0","source":{"id":"1403.1017","kind":"arxiv","version":3}},"canonical_sha256":"f4b07cc57f109d0eafb6e64a6d1dca287e84ef96cc9046f31ed6d4d0d5f22344","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4b07cc57f109d0eafb6e64a6d1dca287e84ef96cc9046f31ed6d4d0d5f22344","first_computed_at":"2026-05-18T00:51:30.757493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:30.757493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+QDNf1fYPequnh/5GJ2Xwl6EsU+zR8lnWt0BGd+lv/Mks2aLzM8Vy017pHk2jwDyMsLif3POTO1X6IASvoDkDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:30.757980Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1017","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b5f8394f1bc5feaafb27e27ca0676266e556243eee80e5e76f5f0a50ac5f489","sha256:efe2d7d2d5ec803011be0fb53d49c727a36533c12bb30c017bbf6281027bf60f"],"state_sha256":"48b7b75fc44efc552668e182246c01b465cf61eeffa14e2079483c4ed6d4af1f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZDikO0w+nM4A1Zk8ywrPFp3jInI8ZMIVy4nsLI6CYNGJEpSI9kpA/2Eoc9m6n8NeEwLaIryDmb5N4Rs5HHTsBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T13:36:59.467940Z","bundle_sha256":"8dd916849150ebe0a4c1310416ade9ea7d709cc808c3e7498df247a8ebe2682a"}}