{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:UD6LQMHY6W6GQLMX2CTLMXFIGU","short_pith_number":"pith:UD6LQMHY","canonical_record":{"source":{"id":"1903.03681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-08T22:05:39Z","cross_cats_sorted":["math-ph","math.MP","math.QA"],"title_canon_sha256":"1493d2aeac8700202dfc62ae3456e97670e21b1bde885076afbe7b9dcfc5afd9","abstract_canon_sha256":"b2c418fcf7326593383561f73c710f8bfc8f79ace1b0ac537bfacf49cc56fc6a"},"schema_version":"1.0"},"canonical_sha256":"a0fcb830f8f5bc682d97d0a6b65ca8351a307d5889501be025c948cc5fc8a623","source":{"kind":"arxiv","id":"1903.03681","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.03681","created_at":"2026-05-17T23:51:41Z"},{"alias_kind":"arxiv_version","alias_value":"1903.03681v1","created_at":"2026-05-17T23:51:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.03681","created_at":"2026-05-17T23:51:41Z"},{"alias_kind":"pith_short_12","alias_value":"UD6LQMHY6W6G","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UD6LQMHY6W6GQLMX","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UD6LQMHY","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:UD6LQMHY6W6GQLMX2CTLMXFIGU","target":"record","payload":{"canonical_record":{"source":{"id":"1903.03681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-08T22:05:39Z","cross_cats_sorted":["math-ph","math.MP","math.QA"],"title_canon_sha256":"1493d2aeac8700202dfc62ae3456e97670e21b1bde885076afbe7b9dcfc5afd9","abstract_canon_sha256":"b2c418fcf7326593383561f73c710f8bfc8f79ace1b0ac537bfacf49cc56fc6a"},"schema_version":"1.0"},"canonical_sha256":"a0fcb830f8f5bc682d97d0a6b65ca8351a307d5889501be025c948cc5fc8a623","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:41.299046Z","signature_b64":"pqLcQsJcwL7IB6u1hmmh5iIp8OTV1CzTrYs7ReQ1G70m0Mv4SCjVQ7GCrTTl0OXzMcjfpGOtiRfhbikxadc6Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0fcb830f8f5bc682d97d0a6b65ca8351a307d5889501be025c948cc5fc8a623","last_reissued_at":"2026-05-17T23:51:41.298536Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:41.298536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.03681","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":"2026-05-17T23:51:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J1/ML12Xy7qr5wZ1qsL4q0ZKEZ9eD0QvPB6TiUVUEdGscZxRSr/7zI47G5mpCoUP3ONkltbflHriaR1jm3YfBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:44:22.539755Z"},"content_sha256":"a5a9444ca0c76fa1b1ae2296f15c51ccb9c12812ca9a618b35025b34daa7b277","schema_version":"1.0","event_id":"sha256:a5a9444ca0c76fa1b1ae2296f15c51ccb9c12812ca9a618b35025b34daa7b277"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:UD6LQMHY6W6GQLMX2CTLMXFIGU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Schur-Weyl type duality for quantized gl(1|1),the Burau representation of braid groups and invariants of tangled graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"math.RT","authors_text":"B. Webster, C. Stroppel, N. Reshetikhin","submitted_at":"2019-03-08T22:05:39Z","abstract_excerpt":"We show that the Schur-Weyl type duality between $gl(1|1)$ and $GL_n$ gives a natural representation-theoretic setting for the relation between reduced and non-reduced Burau representations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.03681","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":"2026-05-17T23:51:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rE/0+CqL0OMXhnPfp47QtcoOpMFxR/PjMjPnoJ6ymMZuXVKNL5a72y8iqGOofPTQiVS/A1+N+S9nQ4eGl5huCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:44:22.540439Z"},"content_sha256":"8bf6f5b665567fe44bf143cb15871725b37d96fda413556dd4d2fd9e90aea163","schema_version":"1.0","event_id":"sha256:8bf6f5b665567fe44bf143cb15871725b37d96fda413556dd4d2fd9e90aea163"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UD6LQMHY6W6GQLMX2CTLMXFIGU/bundle.json","state_url":"https://pith.science/pith/UD6LQMHY6W6GQLMX2CTLMXFIGU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UD6LQMHY6W6GQLMX2CTLMXFIGU/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":"2026-06-04T20:44:22Z","links":{"resolver":"https://pith.science/pith/UD6LQMHY6W6GQLMX2CTLMXFIGU","bundle":"https://pith.science/pith/UD6LQMHY6W6GQLMX2CTLMXFIGU/bundle.json","state":"https://pith.science/pith/UD6LQMHY6W6GQLMX2CTLMXFIGU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UD6LQMHY6W6GQLMX2CTLMXFIGU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UD6LQMHY6W6GQLMX2CTLMXFIGU","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":"b2c418fcf7326593383561f73c710f8bfc8f79ace1b0ac537bfacf49cc56fc6a","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-08T22:05:39Z","title_canon_sha256":"1493d2aeac8700202dfc62ae3456e97670e21b1bde885076afbe7b9dcfc5afd9"},"schema_version":"1.0","source":{"id":"1903.03681","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.03681","created_at":"2026-05-17T23:51:41Z"},{"alias_kind":"arxiv_version","alias_value":"1903.03681v1","created_at":"2026-05-17T23:51:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.03681","created_at":"2026-05-17T23:51:41Z"},{"alias_kind":"pith_short_12","alias_value":"UD6LQMHY6W6G","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UD6LQMHY6W6GQLMX","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UD6LQMHY","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:8bf6f5b665567fe44bf143cb15871725b37d96fda413556dd4d2fd9e90aea163","target":"graph","created_at":"2026-05-17T23:51:41Z","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 show that the Schur-Weyl type duality between $gl(1|1)$ and $GL_n$ gives a natural representation-theoretic setting for the relation between reduced and non-reduced Burau representations.","authors_text":"B. Webster, C. Stroppel, N. Reshetikhin","cross_cats":["math-ph","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-08T22:05:39Z","title":"Schur-Weyl type duality for quantized gl(1|1),the Burau representation of braid groups and invariants of tangled graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.03681","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:a5a9444ca0c76fa1b1ae2296f15c51ccb9c12812ca9a618b35025b34daa7b277","target":"record","created_at":"2026-05-17T23:51:41Z","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":"b2c418fcf7326593383561f73c710f8bfc8f79ace1b0ac537bfacf49cc56fc6a","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-08T22:05:39Z","title_canon_sha256":"1493d2aeac8700202dfc62ae3456e97670e21b1bde885076afbe7b9dcfc5afd9"},"schema_version":"1.0","source":{"id":"1903.03681","kind":"arxiv","version":1}},"canonical_sha256":"a0fcb830f8f5bc682d97d0a6b65ca8351a307d5889501be025c948cc5fc8a623","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0fcb830f8f5bc682d97d0a6b65ca8351a307d5889501be025c948cc5fc8a623","first_computed_at":"2026-05-17T23:51:41.298536Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:41.298536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pqLcQsJcwL7IB6u1hmmh5iIp8OTV1CzTrYs7ReQ1G70m0Mv4SCjVQ7GCrTTl0OXzMcjfpGOtiRfhbikxadc6Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:41.299046Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.03681","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5a9444ca0c76fa1b1ae2296f15c51ccb9c12812ca9a618b35025b34daa7b277","sha256:8bf6f5b665567fe44bf143cb15871725b37d96fda413556dd4d2fd9e90aea163"],"state_sha256":"4b1d5121b9317c9bde12b06ca91c48addc75406793b115125944bdc8dbd941c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P5TCngBuBY/SN/ZP/eRmaWFFov7Z1IJHH0of6weFx9DEa9+G5NzdOhILuG8KyqtVMiZ9f0PNHs9x0RCyRHB4Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T20:44:22.544098Z","bundle_sha256":"cd9448017270e7504860fe33eaa965964bebdbf97a23b359199f792ab96133c6"}}