{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:UFFCSDK4PJ3ALS6LTLKSYSAYO5","short_pith_number":"pith:UFFCSDK4","canonical_record":{"source":{"id":"1511.05511","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-11-17T19:11:09Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"34c3947eb0b041e8e8c24dd5c68df9d02c22b446cc699a8c668c532c8a1a9e86","abstract_canon_sha256":"f16fdd618775ffdeb4af8a6137b070fcbec6d9d1838e201da9f13a6e188bf578"},"schema_version":"1.0"},"canonical_sha256":"a14a290d5c7a7605cbcb9ad52c481877729cf5e1d2adeaedf4f7b7a11707a377","source":{"kind":"arxiv","id":"1511.05511","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05511","created_at":"2026-05-18T01:10:45Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05511v2","created_at":"2026-05-18T01:10:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05511","created_at":"2026-05-18T01:10:45Z"},{"alias_kind":"pith_short_12","alias_value":"UFFCSDK4PJ3A","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UFFCSDK4PJ3ALS6L","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UFFCSDK4","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:UFFCSDK4PJ3ALS6LTLKSYSAYO5","target":"record","payload":{"canonical_record":{"source":{"id":"1511.05511","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-11-17T19:11:09Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"34c3947eb0b041e8e8c24dd5c68df9d02c22b446cc699a8c668c532c8a1a9e86","abstract_canon_sha256":"f16fdd618775ffdeb4af8a6137b070fcbec6d9d1838e201da9f13a6e188bf578"},"schema_version":"1.0"},"canonical_sha256":"a14a290d5c7a7605cbcb9ad52c481877729cf5e1d2adeaedf4f7b7a11707a377","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:45.815371Z","signature_b64":"sAR0ie+r/k4RRWYyqgDI9y0QZaTPmwiLLuuyOSTk0/cmO5xV09jeGC2MGxbylhGHV7k869kBITD0ZbMkhxdTDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a14a290d5c7a7605cbcb9ad52c481877729cf5e1d2adeaedf4f7b7a11707a377","last_reissued_at":"2026-05-18T01:10:45.814989Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:45.814989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.05511","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":"2026-05-18T01:10:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IQS4siSSo2EfUWlp1SOEG5DOZNlV78B+ZOhA7kWtgXNQVERLsH7/xS5E157VDpHf8eq9RuTcEVptDEpeoMWyCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:25:24.797921Z"},"content_sha256":"a7831acebbbcaac69abfac175731018b935507300ce6c8fae9a8ebbdc78bb565","schema_version":"1.0","event_id":"sha256:a7831acebbbcaac69abfac175731018b935507300ce6c8fae9a8ebbdc78bb565"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:UFFCSDK4PJ3ALS6LTLKSYSAYO5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stratifying KLR algebras of affine ADE types","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Alexander Kleshchev, Robert Muth","submitted_at":"2015-11-17T19:11:09Z","abstract_excerpt":"We generalize imaginary Howe duality for KLR algebras of affine ADE types, developed in our previous paper, from balanced to arbitrary convex preorders. Under the assumption that the characteristic of the ground field is greater than some explicit bound, we prove that these KLR algebras are properly stratified."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05511","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":"2026-05-18T01:10:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X77wSvjqX4KpeP+lelTsGcRIQfsLGBgHWlK/SSUzqUkJe/fi4+qSFdP0otL+kHp3Bz9zs7waMG6cDl5G72l4Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:25:24.798259Z"},"content_sha256":"562a7c8d780a79ec7cd4a17af0898a5cc6de34a791d63895a0caecf12a3fff8e","schema_version":"1.0","event_id":"sha256:562a7c8d780a79ec7cd4a17af0898a5cc6de34a791d63895a0caecf12a3fff8e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UFFCSDK4PJ3ALS6LTLKSYSAYO5/bundle.json","state_url":"https://pith.science/pith/UFFCSDK4PJ3ALS6LTLKSYSAYO5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UFFCSDK4PJ3ALS6LTLKSYSAYO5/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":"2026-05-28T10:25:24Z","links":{"resolver":"https://pith.science/pith/UFFCSDK4PJ3ALS6LTLKSYSAYO5","bundle":"https://pith.science/pith/UFFCSDK4PJ3ALS6LTLKSYSAYO5/bundle.json","state":"https://pith.science/pith/UFFCSDK4PJ3ALS6LTLKSYSAYO5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UFFCSDK4PJ3ALS6LTLKSYSAYO5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:UFFCSDK4PJ3ALS6LTLKSYSAYO5","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":"f16fdd618775ffdeb4af8a6137b070fcbec6d9d1838e201da9f13a6e188bf578","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-11-17T19:11:09Z","title_canon_sha256":"34c3947eb0b041e8e8c24dd5c68df9d02c22b446cc699a8c668c532c8a1a9e86"},"schema_version":"1.0","source":{"id":"1511.05511","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05511","created_at":"2026-05-18T01:10:45Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05511v2","created_at":"2026-05-18T01:10:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05511","created_at":"2026-05-18T01:10:45Z"},{"alias_kind":"pith_short_12","alias_value":"UFFCSDK4PJ3A","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UFFCSDK4PJ3ALS6L","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UFFCSDK4","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:562a7c8d780a79ec7cd4a17af0898a5cc6de34a791d63895a0caecf12a3fff8e","target":"graph","created_at":"2026-05-18T01:10:45Z","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 generalize imaginary Howe duality for KLR algebras of affine ADE types, developed in our previous paper, from balanced to arbitrary convex preorders. Under the assumption that the characteristic of the ground field is greater than some explicit bound, we prove that these KLR algebras are properly stratified.","authors_text":"Alexander Kleshchev, Robert Muth","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-11-17T19:11:09Z","title":"Stratifying KLR algebras of affine ADE types"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05511","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:a7831acebbbcaac69abfac175731018b935507300ce6c8fae9a8ebbdc78bb565","target":"record","created_at":"2026-05-18T01:10:45Z","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":"f16fdd618775ffdeb4af8a6137b070fcbec6d9d1838e201da9f13a6e188bf578","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-11-17T19:11:09Z","title_canon_sha256":"34c3947eb0b041e8e8c24dd5c68df9d02c22b446cc699a8c668c532c8a1a9e86"},"schema_version":"1.0","source":{"id":"1511.05511","kind":"arxiv","version":2}},"canonical_sha256":"a14a290d5c7a7605cbcb9ad52c481877729cf5e1d2adeaedf4f7b7a11707a377","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a14a290d5c7a7605cbcb9ad52c481877729cf5e1d2adeaedf4f7b7a11707a377","first_computed_at":"2026-05-18T01:10:45.814989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:45.814989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sAR0ie+r/k4RRWYyqgDI9y0QZaTPmwiLLuuyOSTk0/cmO5xV09jeGC2MGxbylhGHV7k869kBITD0ZbMkhxdTDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:45.815371Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.05511","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7831acebbbcaac69abfac175731018b935507300ce6c8fae9a8ebbdc78bb565","sha256:562a7c8d780a79ec7cd4a17af0898a5cc6de34a791d63895a0caecf12a3fff8e"],"state_sha256":"3c03164a6b5a111b4df18f36565e4495dadd87464a34899862e436691a5f1f42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3MwrkqcMWo5ZotgJQ/Tc5wLOOxBSDr39CkoKhK4DvSz6UsNBghtyAQP8rRZsFfWDXym30seeDu/MDvE10Za/Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:25:24.800138Z","bundle_sha256":"1e7e83d971d2818fb932a068c5bd0ce53fc376ef1fc9001d2374bfd690447bd5"}}