{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:YWRJKAQQ33NMKJKVDTMYTKOGAV","short_pith_number":"pith:YWRJKAQQ","canonical_record":{"source":{"id":"2604.26159","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-28T22:40:53Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"5d0df47daf4271b9beeb5bb083b6ab79b04f511bffacca631ad3abfcd0b40019","abstract_canon_sha256":"fb9fafcacdc2b476bcf3de653e213a45f3ac120e2b9f8cf1d691607245533fb9"},"schema_version":"1.0"},"canonical_sha256":"c5a2950210dedac525551cd989a9c6054bde49093e1a10800a45098e7f861e10","source":{"kind":"arxiv","id":"2604.26159","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.26159","created_at":"2026-05-28T01:04:40Z"},{"alias_kind":"arxiv_version","alias_value":"2604.26159v2","created_at":"2026-05-28T01:04:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.26159","created_at":"2026-05-28T01:04:40Z"},{"alias_kind":"pith_short_12","alias_value":"YWRJKAQQ33NM","created_at":"2026-05-28T01:04:40Z"},{"alias_kind":"pith_short_16","alias_value":"YWRJKAQQ33NMKJKV","created_at":"2026-05-28T01:04:40Z"},{"alias_kind":"pith_short_8","alias_value":"YWRJKAQQ","created_at":"2026-05-28T01:04:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:YWRJKAQQ33NMKJKVDTMYTKOGAV","target":"record","payload":{"canonical_record":{"source":{"id":"2604.26159","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-28T22:40:53Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"5d0df47daf4271b9beeb5bb083b6ab79b04f511bffacca631ad3abfcd0b40019","abstract_canon_sha256":"fb9fafcacdc2b476bcf3de653e213a45f3ac120e2b9f8cf1d691607245533fb9"},"schema_version":"1.0"},"canonical_sha256":"c5a2950210dedac525551cd989a9c6054bde49093e1a10800a45098e7f861e10","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-28T01:04:40.919964Z","signature_b64":"nIUOMGmvZ3/Tqx6T3gn2vugzuLQPcgeS9Wmdd4d6hhQpdGgtJxvt6SR6FQtnZgQaqQxENhcJ1nG2wfpZ/7cNAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5a2950210dedac525551cd989a9c6054bde49093e1a10800a45098e7f861e10","last_reissued_at":"2026-05-28T01:04:40.919481Z","signature_status":"signed_v1","first_computed_at":"2026-05-28T01:04:40.919481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2604.26159","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":"2026-05-28T01:04:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ENjGs7G59SxI+vfjpVIr+3tUOpmi9P6dc08wtiQ8yk//AbSD7oIhpZfoW2SYPY5zALHGuR0Jp1SPUsBJ5PlzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:13:01.798475Z"},"content_sha256":"54a385b63b314b83a3ce352c253fda256492d8cb0f0d0741791a56c29796958c","schema_version":"1.0","event_id":"sha256:54a385b63b314b83a3ce352c253fda256492d8cb0f0d0741791a56c29796958c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:YWRJKAQQ33NMKJKVDTMYTKOGAV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Flat Connections, KZ equations, and Integrability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Quantum flat connections in strongly coupled Argyres-Douglas theories are integrable and equivalent to irregular KZ connections that yield BPZ equations.","cross_cats":["math.RT"],"primary_cat":"hep-th","authors_text":"Anouchah Latifi, Babak Haghighat, Sibasish Banerjee","submitted_at":"2026-04-28T22:40:53Z","abstract_excerpt":"N=2 supersymmetric Yang-Mills theories are described in terms of a Hitchin system over a Riemann surface C. Focusing on strongly coupled Argyres-Douglas theories, we show that the corresponding flat bundle over C can be quantized such that the resulting quantum flat connection is integrable. For $sl_2$, the quantum connection takes values in $gl_2$(A) where A is an associative algebra which we explicitly describe for the cases of Painlev\\'e I, II and IV. Moreover, we find that the quantum connection is equivalent to irregular versions of Knizhnik-Zamolodchikov (KZ) connections. Utilizing a sui"},"claims":{"count":3,"items":[{"kind":"strongest_claim","text":"we show that the corresponding flat bundle over C can be quantized such that the resulting quantum flat connection is integrable. For sl_2, the quantum connection takes values in gl_2(A) where A is an associative algebra which we explicitly describe for the cases of Painlevé I, II and IV. Moreover, we find that the quantum connection is equivalent to irregular versions of Knizhnik-Zamolodchikov (KZ) connections. Utilizing a suitable gauge transformation, one can show that the corresponding KZ equations give rise to BPZ equations.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The standard Hitchin-system description of N=2 SYM theories (especially strongly coupled Argyres-Douglas points) admits a quantization that preserves integrability and produces an equivalence to irregular KZ connections.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Quantum flat connections in strongly coupled Argyres-Douglas theories are integrable and equivalent to irregular KZ connections that yield BPZ equations.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"}],"snapshot_sha256":"3adb308673e7913aacbdfa1ac7daeb35f163ac143cbadf712a2b88cdbd4bc37b"},"source":{"id":"2604.26159","kind":"arxiv","version":2},"verdict":{"id":"df981f85-a220-4bd5-b5cb-ae4106f27326","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-07T12:21:13.222961Z","strongest_claim":"we show that the corresponding flat bundle over C can be quantized such that the resulting quantum flat connection is integrable. For sl_2, the quantum connection takes values in gl_2(A) where A is an associative algebra which we explicitly describe for the cases of Painlevé I, II and IV. Moreover, we find that the quantum connection is equivalent to irregular versions of Knizhnik-Zamolodchikov (KZ) connections. Utilizing a suitable gauge transformation, one can show that the corresponding KZ equations give rise to BPZ equations.","one_line_summary":"Quantum flat connections in strongly coupled Argyres-Douglas theories are integrable and equivalent to irregular KZ connections that yield BPZ equations.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The standard Hitchin-system description of N=2 SYM theories (especially strongly coupled Argyres-Douglas points) admits a quantization that preserves integrability and produces an equivalence to irregular KZ connections.","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.26159/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T03:33:59.223221Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"7319c51842f522d8c70292a599efb9371ee4f155726d09f9f8faa89dd21a5529"},"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":"df981f85-a220-4bd5-b5cb-ae4106f27326"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-28T01:04:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7CoS1x2f/RP2fFHUkSm20ZY9Xbxza7NgxIASkclAFQY4k6S1aIpLBO3iOqhrI9YYTFURzcZVddTFirp2dBT3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:13:01.798930Z"},"content_sha256":"f66600016b7c13df96edfd7476a2222b17de025ee1e5e194e4535da89863fa78","schema_version":"1.0","event_id":"sha256:f66600016b7c13df96edfd7476a2222b17de025ee1e5e194e4535da89863fa78"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YWRJKAQQ33NMKJKVDTMYTKOGAV/bundle.json","state_url":"https://pith.science/pith/YWRJKAQQ33NMKJKVDTMYTKOGAV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YWRJKAQQ33NMKJKVDTMYTKOGAV/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":"2026-05-30T13:13:01Z","links":{"resolver":"https://pith.science/pith/YWRJKAQQ33NMKJKVDTMYTKOGAV","bundle":"https://pith.science/pith/YWRJKAQQ33NMKJKVDTMYTKOGAV/bundle.json","state":"https://pith.science/pith/YWRJKAQQ33NMKJKVDTMYTKOGAV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YWRJKAQQ33NMKJKVDTMYTKOGAV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YWRJKAQQ33NMKJKVDTMYTKOGAV","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":"fb9fafcacdc2b476bcf3de653e213a45f3ac120e2b9f8cf1d691607245533fb9","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-28T22:40:53Z","title_canon_sha256":"5d0df47daf4271b9beeb5bb083b6ab79b04f511bffacca631ad3abfcd0b40019"},"schema_version":"1.0","source":{"id":"2604.26159","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.26159","created_at":"2026-05-28T01:04:40Z"},{"alias_kind":"arxiv_version","alias_value":"2604.26159v2","created_at":"2026-05-28T01:04:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.26159","created_at":"2026-05-28T01:04:40Z"},{"alias_kind":"pith_short_12","alias_value":"YWRJKAQQ33NM","created_at":"2026-05-28T01:04:40Z"},{"alias_kind":"pith_short_16","alias_value":"YWRJKAQQ33NMKJKV","created_at":"2026-05-28T01:04:40Z"},{"alias_kind":"pith_short_8","alias_value":"YWRJKAQQ","created_at":"2026-05-28T01:04:40Z"}],"graph_snapshots":[{"event_id":"sha256:f66600016b7c13df96edfd7476a2222b17de025ee1e5e194e4535da89863fa78","target":"graph","created_at":"2026-05-28T01:04:40Z","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":3,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"we show that the corresponding flat bundle over C can be quantized such that the resulting quantum flat connection is integrable. For sl_2, the quantum connection takes values in gl_2(A) where A is an associative algebra which we explicitly describe for the cases of Painlevé I, II and IV. Moreover, we find that the quantum connection is equivalent to irregular versions of Knizhnik-Zamolodchikov (KZ) connections. Utilizing a suitable gauge transformation, one can show that the corresponding KZ equations give rise to BPZ equations."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The standard Hitchin-system description of N=2 SYM theories (especially strongly coupled Argyres-Douglas points) admits a quantization that preserves integrability and produces an equivalence to irregular KZ connections."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Quantum flat connections in strongly coupled Argyres-Douglas theories are integrable and equivalent to irregular KZ connections that yield BPZ equations."}],"snapshot_sha256":"3adb308673e7913aacbdfa1ac7daeb35f163ac143cbadf712a2b88cdbd4bc37b"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-21T03:33:59.223221Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2604.26159/integrity.json","findings":[],"snapshot_sha256":"7319c51842f522d8c70292a599efb9371ee4f155726d09f9f8faa89dd21a5529","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"N=2 supersymmetric Yang-Mills theories are described in terms of a Hitchin system over a Riemann surface C. Focusing on strongly coupled Argyres-Douglas theories, we show that the corresponding flat bundle over C can be quantized such that the resulting quantum flat connection is integrable. For $sl_2$, the quantum connection takes values in $gl_2$(A) where A is an associative algebra which we explicitly describe for the cases of Painlev\\'e I, II and IV. Moreover, we find that the quantum connection is equivalent to irregular versions of Knizhnik-Zamolodchikov (KZ) connections. Utilizing a sui","authors_text":"Anouchah Latifi, Babak Haghighat, Sibasish Banerjee","cross_cats":["math.RT"],"headline":"Quantum flat connections in strongly coupled Argyres-Douglas theories are integrable and equivalent to irregular KZ connections that yield BPZ equations.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-28T22:40:53Z","title":"Quantum Flat Connections, KZ equations, and Integrability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.26159","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-07T12:21:13.222961Z","id":"df981f85-a220-4bd5-b5cb-ae4106f27326","model_set":{"reader":"grok-4.3"},"one_line_summary":"Quantum flat connections in strongly coupled Argyres-Douglas theories are integrable and equivalent to irregular KZ connections that yield BPZ equations.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"","strongest_claim":"we show that the corresponding flat bundle over C can be quantized such that the resulting quantum flat connection is integrable. For sl_2, the quantum connection takes values in gl_2(A) where A is an associative algebra which we explicitly describe for the cases of Painlevé I, II and IV. Moreover, we find that the quantum connection is equivalent to irregular versions of Knizhnik-Zamolodchikov (KZ) connections. Utilizing a suitable gauge transformation, one can show that the corresponding KZ equations give rise to BPZ equations.","weakest_assumption":"The standard Hitchin-system description of N=2 SYM theories (especially strongly coupled Argyres-Douglas points) admits a quantization that preserves integrability and produces an equivalence to irregular KZ connections."}},"verdict_id":"df981f85-a220-4bd5-b5cb-ae4106f27326"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:54a385b63b314b83a3ce352c253fda256492d8cb0f0d0741791a56c29796958c","target":"record","created_at":"2026-05-28T01:04:40Z","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":"fb9fafcacdc2b476bcf3de653e213a45f3ac120e2b9f8cf1d691607245533fb9","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-28T22:40:53Z","title_canon_sha256":"5d0df47daf4271b9beeb5bb083b6ab79b04f511bffacca631ad3abfcd0b40019"},"schema_version":"1.0","source":{"id":"2604.26159","kind":"arxiv","version":2}},"canonical_sha256":"c5a2950210dedac525551cd989a9c6054bde49093e1a10800a45098e7f861e10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5a2950210dedac525551cd989a9c6054bde49093e1a10800a45098e7f861e10","first_computed_at":"2026-05-28T01:04:40.919481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T01:04:40.919481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nIUOMGmvZ3/Tqx6T3gn2vugzuLQPcgeS9Wmdd4d6hhQpdGgtJxvt6SR6FQtnZgQaqQxENhcJ1nG2wfpZ/7cNAw==","signature_status":"signed_v1","signed_at":"2026-05-28T01:04:40.919964Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.26159","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54a385b63b314b83a3ce352c253fda256492d8cb0f0d0741791a56c29796958c","sha256:f66600016b7c13df96edfd7476a2222b17de025ee1e5e194e4535da89863fa78"],"state_sha256":"ccc508c6d3f439129931a5016cef51f017f3239d2923aff5ead1413fa5125207"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a9m2qwmCZJaJ5vceAWX9ItJFwM59frrIlCTFyWR8GJlTmLcy7m/xHZINp2TocTwDh8gGn8+u8r4A7kE+AtJVBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:13:01.802013Z","bundle_sha256":"83950e3d5e045a4b9387b82bad593e00e6641444e43bae96f8000fd6419c0a2d"}}