{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:6DASDKQDZEUNAJCWPVMZ5CP3ZG","short_pith_number":"pith:6DASDKQD","canonical_record":{"source":{"id":"1011.4285","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-11-18T20:48:10Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"205001038323834831015f8ec49d02fd8f8c77384ae2d61d5eac4af6b710a109","abstract_canon_sha256":"41e35001afce52657e8d59b86c6da13f810d8700595ed2c16f46e8dd49abe88a"},"schema_version":"1.0"},"canonical_sha256":"f0c121aa03c928d024567d599e89fbc988303e83787abbab1a239ebbb3a63f70","source":{"kind":"arxiv","id":"1011.4285","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4285","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4285v1","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4285","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"pith_short_12","alias_value":"6DASDKQDZEUN","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6DASDKQDZEUNAJCW","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6DASDKQD","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:6DASDKQDZEUNAJCWPVMZ5CP3ZG","target":"record","payload":{"canonical_record":{"source":{"id":"1011.4285","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-11-18T20:48:10Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"205001038323834831015f8ec49d02fd8f8c77384ae2d61d5eac4af6b710a109","abstract_canon_sha256":"41e35001afce52657e8d59b86c6da13f810d8700595ed2c16f46e8dd49abe88a"},"schema_version":"1.0"},"canonical_sha256":"f0c121aa03c928d024567d599e89fbc988303e83787abbab1a239ebbb3a63f70","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:36.094784Z","signature_b64":"tVY6Er4C0V/S+9to3+oBYQdPzRMG7L9B1VnfimlDnVrFhwfFAgWQkXFdadGPXypQDQqsCutl2do5gJbwGCfUBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0c121aa03c928d024567d599e89fbc988303e83787abbab1a239ebbb3a63f70","last_reissued_at":"2026-05-18T04:35:36.094130Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:36.094130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.4285","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M5yQD0rnvzRsntOI4Wtts4Y2HMABLFM9MWU+d87ETdWoS0n67hrSVGOnVNBom+y3yuCkZRR5i4CWiqe75MEOAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T22:32:02.417972Z"},"content_sha256":"71d804e01d8acc39c8c8ec40dd93edabd0a5ff99a9e5938941af90ca3c067378","schema_version":"1.0","event_id":"sha256:71d804e01d8acc39c8c8ec40dd93edabd0a5ff99a9e5938941af90ca3c067378"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:6DASDKQDZEUNAJCWPVMZ5CP3ZG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Kohno-Drinfeld theorem for the monodromy of cyclotomic KZ connections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Adrien Brochier","submitted_at":"2010-11-18T20:48:10Z","abstract_excerpt":"We compute explicitly the monodromy representations of \"cyclotomic\" analogs of the Knizhnik--Zamolodchikov differential system. These are representations of the type B braid group $B_n^1$. We show how the representations of the braid group $B_n$ obtained using quantum groups and universal $R$-matrices may be enhanced to representations of $B_n^1$ using dynamical twists. Then, we show how these \"algebraic\" representations may be identified with the above \"analytic\" monodromy representations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4285","kind":"arxiv","version":1},"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":"2026-05-18T04:35:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5+2ugj8rG50kGLgH4BGVlC3D5nm2g3EbvhJNvdEyyDc9Gr2Z+Hwwbqhq20/DY0yw8L0lC9Cr1TCctPpxReCQBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T22:32:02.418672Z"},"content_sha256":"dd81ac2a332890f8a112f13c0e655d1a54d8f8cacbf81d1a84d014510d48563f","schema_version":"1.0","event_id":"sha256:dd81ac2a332890f8a112f13c0e655d1a54d8f8cacbf81d1a84d014510d48563f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6DASDKQDZEUNAJCWPVMZ5CP3ZG/bundle.json","state_url":"https://pith.science/pith/6DASDKQDZEUNAJCWPVMZ5CP3ZG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6DASDKQDZEUNAJCWPVMZ5CP3ZG/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":"2026-06-29T22:32:02Z","links":{"resolver":"https://pith.science/pith/6DASDKQDZEUNAJCWPVMZ5CP3ZG","bundle":"https://pith.science/pith/6DASDKQDZEUNAJCWPVMZ5CP3ZG/bundle.json","state":"https://pith.science/pith/6DASDKQDZEUNAJCWPVMZ5CP3ZG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6DASDKQDZEUNAJCWPVMZ5CP3ZG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:6DASDKQDZEUNAJCWPVMZ5CP3ZG","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":"41e35001afce52657e8d59b86c6da13f810d8700595ed2c16f46e8dd49abe88a","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-11-18T20:48:10Z","title_canon_sha256":"205001038323834831015f8ec49d02fd8f8c77384ae2d61d5eac4af6b710a109"},"schema_version":"1.0","source":{"id":"1011.4285","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4285","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4285v1","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4285","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"pith_short_12","alias_value":"6DASDKQDZEUN","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6DASDKQDZEUNAJCW","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6DASDKQD","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:dd81ac2a332890f8a112f13c0e655d1a54d8f8cacbf81d1a84d014510d48563f","target":"graph","created_at":"2026-05-18T04:35:36Z","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 compute explicitly the monodromy representations of \"cyclotomic\" analogs of the Knizhnik--Zamolodchikov differential system. These are representations of the type B braid group $B_n^1$. We show how the representations of the braid group $B_n$ obtained using quantum groups and universal $R$-matrices may be enhanced to representations of $B_n^1$ using dynamical twists. Then, we show how these \"algebraic\" representations may be identified with the above \"analytic\" monodromy representations.","authors_text":"Adrien Brochier","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-11-18T20:48:10Z","title":"A Kohno-Drinfeld theorem for the monodromy of cyclotomic KZ connections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4285","kind":"arxiv","version":1},"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":"sha256:71d804e01d8acc39c8c8ec40dd93edabd0a5ff99a9e5938941af90ca3c067378","target":"record","created_at":"2026-05-18T04:35:36Z","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":"41e35001afce52657e8d59b86c6da13f810d8700595ed2c16f46e8dd49abe88a","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-11-18T20:48:10Z","title_canon_sha256":"205001038323834831015f8ec49d02fd8f8c77384ae2d61d5eac4af6b710a109"},"schema_version":"1.0","source":{"id":"1011.4285","kind":"arxiv","version":1}},"canonical_sha256":"f0c121aa03c928d024567d599e89fbc988303e83787abbab1a239ebbb3a63f70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0c121aa03c928d024567d599e89fbc988303e83787abbab1a239ebbb3a63f70","first_computed_at":"2026-05-18T04:35:36.094130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:36.094130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tVY6Er4C0V/S+9to3+oBYQdPzRMG7L9B1VnfimlDnVrFhwfFAgWQkXFdadGPXypQDQqsCutl2do5gJbwGCfUBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:36.094784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.4285","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71d804e01d8acc39c8c8ec40dd93edabd0a5ff99a9e5938941af90ca3c067378","sha256:dd81ac2a332890f8a112f13c0e655d1a54d8f8cacbf81d1a84d014510d48563f"],"state_sha256":"655d1b2cb83fa396f970e2875558237637a17664c594f4bb359b4bc6b092e891"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w4skFqGVZT2c7uwmE7wYagr9hoCEb6rzjvrlXY0qC9PcO84NiDIOR7xutGsJEOjeaErTFH3XJNQeArmyAxCJCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T22:32:02.422327Z","bundle_sha256":"18de8942b8086bcb593578225371b35d620f2bffa43d176da51a08a624358138"}}