{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:HYSYMB4M2FWU2VFXCZ2QNSR72V","short_pith_number":"pith:HYSYMB4M","canonical_record":{"source":{"id":"2003.04234","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-03-09T16:17:55Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"256b6b5422103a2c4c0b66b49797e582a62b59d84d7e1cd4ac651b7d510fdc66","abstract_canon_sha256":"29a69d4d2fad85cf9cd519a133be8cfdf41476f06d5fca676a5730ea40c2c41d"},"schema_version":"1.0"},"canonical_sha256":"3e2586078cd16d4d54b7167506ca3fd57da7addc7c4608037aadfaed13a507db","source":{"kind":"arxiv","id":"2003.04234","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.04234","created_at":"2026-07-05T02:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"2003.04234v3","created_at":"2026-07-05T02:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.04234","created_at":"2026-07-05T02:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"HYSYMB4M2FWU","created_at":"2026-07-05T02:51:06Z"},{"alias_kind":"pith_short_16","alias_value":"HYSYMB4M2FWU2VFX","created_at":"2026-07-05T02:51:06Z"},{"alias_kind":"pith_short_8","alias_value":"HYSYMB4M","created_at":"2026-07-05T02:51:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:HYSYMB4M2FWU2VFXCZ2QNSR72V","target":"record","payload":{"canonical_record":{"source":{"id":"2003.04234","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-03-09T16:17:55Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"256b6b5422103a2c4c0b66b49797e582a62b59d84d7e1cd4ac651b7d510fdc66","abstract_canon_sha256":"29a69d4d2fad85cf9cd519a133be8cfdf41476f06d5fca676a5730ea40c2c41d"},"schema_version":"1.0"},"canonical_sha256":"3e2586078cd16d4d54b7167506ca3fd57da7addc7c4608037aadfaed13a507db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:51:06.481866Z","signature_b64":"rr3mM4ORpkTRjt4iD2LdPv4pmJ17JC1dmloeUwUGBP/Vyn8j7Y0UNVVKdEDOKgx9bpkjwaD4b40bDyaqKNvBCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e2586078cd16d4d54b7167506ca3fd57da7addc7c4608037aadfaed13a507db","last_reissued_at":"2026-07-05T02:51:06.481454Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:51:06.481454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2003.04234","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":"2026-07-05T02:51:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kHWEt46tGDIvT3YZhFJO+QpIieeLP5fma/BoEF6xlgSzqOvpDr6WYCMDS125Om7/TKQai1usn+FGhya7IqI/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-18T04:27:37.377726Z"},"content_sha256":"f82458c2041aeb6803fa6308580f5d02fc9af0aa88809a38588dadaf3f1e36d6","schema_version":"1.0","event_id":"sha256:f82458c2041aeb6803fa6308580f5d02fc9af0aa88809a38588dadaf3f1e36d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:HYSYMB4M2FWU2VFXCZ2QNSR72V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deformations of $\\mathcal W$ algebras via quantum toroidal algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.QA","authors_text":"B. Feigin, E. Mukhin, I. Vilkoviskiy, M. Jimbo","submitted_at":"2020-03-09T16:17:55Z","abstract_excerpt":"The deformed $\\mathcal W$ algebras of type $\\textsf{A}$ have a uniform description in terms of the quantum toroidal $\\mathfrak{gl}_1$ algebra $\\mathcal E$. We introduce a comodule algebra $\\mathcal K$ over $\\mathcal E$ which gives a uniform construction of basic deformed $\\mathcal W$ currents and screening operators in types $\\textsf{B},\\textsf{C},\\textsf{D}$ including twisted and supersymmetric cases. We show that a completion of algebra $\\mathcal K$ contains three commutative subalgebras. In particular, it allows us to obtain a commutative family of integrals of motion associated with affine"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.04234","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2003.04234/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:51:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dxo7c5OnNQeQAaxI5VomplGAQABmO2W4/86sI8I6A8YqakX9xR8+vmkbq94cGpiJPkG7watVNyBb9Px7cj5uCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-18T04:27:37.378082Z"},"content_sha256":"dc18c54550f6ca069528cb25287106108b09d582de3d6782a760eb9b9d6d54a5","schema_version":"1.0","event_id":"sha256:dc18c54550f6ca069528cb25287106108b09d582de3d6782a760eb9b9d6d54a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HYSYMB4M2FWU2VFXCZ2QNSR72V/bundle.json","state_url":"https://pith.science/pith/HYSYMB4M2FWU2VFXCZ2QNSR72V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HYSYMB4M2FWU2VFXCZ2QNSR72V/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":"2026-07-18T04:27:37Z","links":{"resolver":"https://pith.science/pith/HYSYMB4M2FWU2VFXCZ2QNSR72V","bundle":"https://pith.science/pith/HYSYMB4M2FWU2VFXCZ2QNSR72V/bundle.json","state":"https://pith.science/pith/HYSYMB4M2FWU2VFXCZ2QNSR72V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HYSYMB4M2FWU2VFXCZ2QNSR72V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:HYSYMB4M2FWU2VFXCZ2QNSR72V","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":"29a69d4d2fad85cf9cd519a133be8cfdf41476f06d5fca676a5730ea40c2c41d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-03-09T16:17:55Z","title_canon_sha256":"256b6b5422103a2c4c0b66b49797e582a62b59d84d7e1cd4ac651b7d510fdc66"},"schema_version":"1.0","source":{"id":"2003.04234","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.04234","created_at":"2026-07-05T02:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"2003.04234v3","created_at":"2026-07-05T02:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.04234","created_at":"2026-07-05T02:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"HYSYMB4M2FWU","created_at":"2026-07-05T02:51:06Z"},{"alias_kind":"pith_short_16","alias_value":"HYSYMB4M2FWU2VFX","created_at":"2026-07-05T02:51:06Z"},{"alias_kind":"pith_short_8","alias_value":"HYSYMB4M","created_at":"2026-07-05T02:51:06Z"}],"graph_snapshots":[{"event_id":"sha256:dc18c54550f6ca069528cb25287106108b09d582de3d6782a760eb9b9d6d54a5","target":"graph","created_at":"2026-07-05T02:51:06Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2003.04234/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The deformed $\\mathcal W$ algebras of type $\\textsf{A}$ have a uniform description in terms of the quantum toroidal $\\mathfrak{gl}_1$ algebra $\\mathcal E$. We introduce a comodule algebra $\\mathcal K$ over $\\mathcal E$ which gives a uniform construction of basic deformed $\\mathcal W$ currents and screening operators in types $\\textsf{B},\\textsf{C},\\textsf{D}$ including twisted and supersymmetric cases. We show that a completion of algebra $\\mathcal K$ contains three commutative subalgebras. In particular, it allows us to obtain a commutative family of integrals of motion associated with affine","authors_text":"B. Feigin, E. Mukhin, I. Vilkoviskiy, M. Jimbo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-03-09T16:17:55Z","title":"Deformations of $\\mathcal W$ algebras via quantum toroidal algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.04234","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:f82458c2041aeb6803fa6308580f5d02fc9af0aa88809a38588dadaf3f1e36d6","target":"record","created_at":"2026-07-05T02:51:06Z","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":"29a69d4d2fad85cf9cd519a133be8cfdf41476f06d5fca676a5730ea40c2c41d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-03-09T16:17:55Z","title_canon_sha256":"256b6b5422103a2c4c0b66b49797e582a62b59d84d7e1cd4ac651b7d510fdc66"},"schema_version":"1.0","source":{"id":"2003.04234","kind":"arxiv","version":3}},"canonical_sha256":"3e2586078cd16d4d54b7167506ca3fd57da7addc7c4608037aadfaed13a507db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e2586078cd16d4d54b7167506ca3fd57da7addc7c4608037aadfaed13a507db","first_computed_at":"2026-07-05T02:51:06.481454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:51:06.481454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rr3mM4ORpkTRjt4iD2LdPv4pmJ17JC1dmloeUwUGBP/Vyn8j7Y0UNVVKdEDOKgx9bpkjwaD4b40bDyaqKNvBCw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:51:06.481866Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.04234","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f82458c2041aeb6803fa6308580f5d02fc9af0aa88809a38588dadaf3f1e36d6","sha256:dc18c54550f6ca069528cb25287106108b09d582de3d6782a760eb9b9d6d54a5"],"state_sha256":"bd9067bdd047a117a34df3e9efad585fc375c8a07bce8cc1a06bd6072c6900b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b61iiTyufxyw33Iv85JubQXkdqGZlY453eugUzkU8LeH0Srbgxl55d336OEN9LGeu6J/5l6q3B+IJw3uHfNWDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-18T04:27:37.379966Z","bundle_sha256":"881ffa1076e76e4c57cb88aded3abf5423334c77a296be76ef904eea3ea9fb2e"}}