{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:MRLYDO5KHGQNDSKNOQ7XINXPZA","short_pith_number":"pith:MRLYDO5K","canonical_record":{"source":{"id":"2404.02365","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-04-02T23:37:25Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9f23702413a41cec74c998d50a7c4a277928ac0092acc1f5989a5e5bdb3cedb9","abstract_canon_sha256":"76917795d03b21998e627c4fded0d4b440650adf3cc9a5dc66ba47e834468516"},"schema_version":"1.0"},"canonical_sha256":"645781bbaa39a0d1c94d743f7436efc805456d1126e5ed3a96af0a976dc76876","source":{"kind":"arxiv","id":"2404.02365","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.02365","created_at":"2026-07-05T09:52:10Z"},{"alias_kind":"arxiv_version","alias_value":"2404.02365v2","created_at":"2026-07-05T09:52:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.02365","created_at":"2026-07-05T09:52:10Z"},{"alias_kind":"pith_short_12","alias_value":"MRLYDO5KHGQN","created_at":"2026-07-05T09:52:10Z"},{"alias_kind":"pith_short_16","alias_value":"MRLYDO5KHGQNDSKN","created_at":"2026-07-05T09:52:10Z"},{"alias_kind":"pith_short_8","alias_value":"MRLYDO5K","created_at":"2026-07-05T09:52:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:MRLYDO5KHGQNDSKNOQ7XINXPZA","target":"record","payload":{"canonical_record":{"source":{"id":"2404.02365","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-04-02T23:37:25Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9f23702413a41cec74c998d50a7c4a277928ac0092acc1f5989a5e5bdb3cedb9","abstract_canon_sha256":"76917795d03b21998e627c4fded0d4b440650adf3cc9a5dc66ba47e834468516"},"schema_version":"1.0"},"canonical_sha256":"645781bbaa39a0d1c94d743f7436efc805456d1126e5ed3a96af0a976dc76876","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:52:10.624010Z","signature_b64":"uGjcL11MOU90zMOTOCtw4797QkzNST7ykoEbi2MlVnAkTr0X7tF0sf8ZSegIYVnO328R/IYsBphlxNyu5D29CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"645781bbaa39a0d1c94d743f7436efc805456d1126e5ed3a96af0a976dc76876","last_reissued_at":"2026-07-05T09:52:10.623483Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:52:10.623483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.02365","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":"2026-07-05T09:52:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tbsK5Yc/FnBSPjwAi01W6+6NDFefT6N9Lkdk1OsiMQR/76aQ4+VBwSe7IlFJHqsC67w4b2u+/6z+J/uvsctZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T04:22:48.188416Z"},"content_sha256":"dc4a948600e5457a4edb76969de9cf0f0fcf91a13870611f7b10c94cda6d29ba","schema_version":"1.0","event_id":"sha256:dc4a948600e5457a4edb76969de9cf0f0fcf91a13870611f7b10c94cda6d29ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:MRLYDO5KHGQNDSKNOQ7XINXPZA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.RT","authors_text":"Libor Krizka, Tomoyuki Arakawa, Vyacheslav Futorny","submitted_at":"2024-04-02T23:37:25Z","abstract_excerpt":"The closure of a Diximier sheet is the image of a generalized Grothendieck's simultaneous resolution. We show that the associated variety of simple affine vertex algebras is contained in the closure of the Diximier sheet when a chiralization of generalized Grothendieck's simultaneous resolution exists. This generalizes in a conceptual manner the results obtained by the first named author and Anne Moreau and, in particular, allows to extend them to the types A_2, C_n, E_6, E_7."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.02365","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.02365/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":"2026-07-05T09:52:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xgre4WyWd4P4fK6lPmLxpEqSV8E1DTofURjAEdpv08Ebhm988e6FT7H9AH7xmGO8vb5VjvPNki0WYcPvR8FtCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T04:22:48.188944Z"},"content_sha256":"ff6d2dd452250a1b7c89a4efb2833131bf7f25db3bdcb1311bfe0d086c437ba3","schema_version":"1.0","event_id":"sha256:ff6d2dd452250a1b7c89a4efb2833131bf7f25db3bdcb1311bfe0d086c437ba3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MRLYDO5KHGQNDSKNOQ7XINXPZA/bundle.json","state_url":"https://pith.science/pith/MRLYDO5KHGQNDSKNOQ7XINXPZA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MRLYDO5KHGQNDSKNOQ7XINXPZA/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":"2026-08-23T04:22:48Z","links":{"resolver":"https://pith.science/pith/MRLYDO5KHGQNDSKNOQ7XINXPZA","bundle":"https://pith.science/pith/MRLYDO5KHGQNDSKNOQ7XINXPZA/bundle.json","state":"https://pith.science/pith/MRLYDO5KHGQNDSKNOQ7XINXPZA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MRLYDO5KHGQNDSKNOQ7XINXPZA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MRLYDO5KHGQNDSKNOQ7XINXPZA","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":"76917795d03b21998e627c4fded0d4b440650adf3cc9a5dc66ba47e834468516","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-04-02T23:37:25Z","title_canon_sha256":"9f23702413a41cec74c998d50a7c4a277928ac0092acc1f5989a5e5bdb3cedb9"},"schema_version":"1.0","source":{"id":"2404.02365","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.02365","created_at":"2026-07-05T09:52:10Z"},{"alias_kind":"arxiv_version","alias_value":"2404.02365v2","created_at":"2026-07-05T09:52:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.02365","created_at":"2026-07-05T09:52:10Z"},{"alias_kind":"pith_short_12","alias_value":"MRLYDO5KHGQN","created_at":"2026-07-05T09:52:10Z"},{"alias_kind":"pith_short_16","alias_value":"MRLYDO5KHGQNDSKN","created_at":"2026-07-05T09:52:10Z"},{"alias_kind":"pith_short_8","alias_value":"MRLYDO5K","created_at":"2026-07-05T09:52:10Z"}],"graph_snapshots":[{"event_id":"sha256:ff6d2dd452250a1b7c89a4efb2833131bf7f25db3bdcb1311bfe0d086c437ba3","target":"graph","created_at":"2026-07-05T09:52:10Z","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/2404.02365/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The closure of a Diximier sheet is the image of a generalized Grothendieck's simultaneous resolution. We show that the associated variety of simple affine vertex algebras is contained in the closure of the Diximier sheet when a chiralization of generalized Grothendieck's simultaneous resolution exists. This generalizes in a conceptual manner the results obtained by the first named author and Anne Moreau and, in particular, allows to extend them to the types A_2, C_n, E_6, E_7.","authors_text":"Libor Krizka, Tomoyuki Arakawa, Vyacheslav Futorny","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-04-02T23:37:25Z","title":"Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.02365","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:dc4a948600e5457a4edb76969de9cf0f0fcf91a13870611f7b10c94cda6d29ba","target":"record","created_at":"2026-07-05T09:52:10Z","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":"76917795d03b21998e627c4fded0d4b440650adf3cc9a5dc66ba47e834468516","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-04-02T23:37:25Z","title_canon_sha256":"9f23702413a41cec74c998d50a7c4a277928ac0092acc1f5989a5e5bdb3cedb9"},"schema_version":"1.0","source":{"id":"2404.02365","kind":"arxiv","version":2}},"canonical_sha256":"645781bbaa39a0d1c94d743f7436efc805456d1126e5ed3a96af0a976dc76876","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"645781bbaa39a0d1c94d743f7436efc805456d1126e5ed3a96af0a976dc76876","first_computed_at":"2026-07-05T09:52:10.623483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:52:10.623483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uGjcL11MOU90zMOTOCtw4797QkzNST7ykoEbi2MlVnAkTr0X7tF0sf8ZSegIYVnO328R/IYsBphlxNyu5D29CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:52:10.624010Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.02365","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc4a948600e5457a4edb76969de9cf0f0fcf91a13870611f7b10c94cda6d29ba","sha256:ff6d2dd452250a1b7c89a4efb2833131bf7f25db3bdcb1311bfe0d086c437ba3"],"state_sha256":"dda5689acd7c6d6da5710a227bbdcc332be44f69e4a5303e301f85c555e32d09"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5hVH5OIet+ak8fP7Huc8XvWdtJLb6zJGXkBJXYisg1kBQUI3LWwGy8E6x5SC+RflHphtK7zFaVM3LrIlo14FBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T04:22:48.194112Z","bundle_sha256":"e65f1465e5752e6c8db18660ac4be20fd663b4125061e2053db00d93217e76ea"}}