{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZZU5ZBMQXHHT4N7WO6NIECWLSG","short_pith_number":"pith:ZZU5ZBMQ","canonical_record":{"source":{"id":"1805.01621","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.RT","submitted_at":"2018-05-04T06:28:46Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"3bce077f3305aa3438e0e0fcf0b3baba4697343ecb62f7b57eae94468f96fcda","abstract_canon_sha256":"cbccc72566aa76e96ead4d399dc94e786a296ee9901e5f382c72fab83d28f15b"},"schema_version":"1.0"},"canonical_sha256":"ce69dc8590b9cf3e37f6779a820acb91b81bd657284c3ee9412b96a9b216b52e","source":{"kind":"arxiv","id":"1805.01621","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.01621","created_at":"2026-05-17T23:51:09Z"},{"alias_kind":"arxiv_version","alias_value":"1805.01621v3","created_at":"2026-05-17T23:51:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01621","created_at":"2026-05-17T23:51:09Z"},{"alias_kind":"pith_short_12","alias_value":"ZZU5ZBMQXHHT","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZZU5ZBMQXHHT4N7W","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZZU5ZBMQ","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZZU5ZBMQXHHT4N7WO6NIECWLSG","target":"record","payload":{"canonical_record":{"source":{"id":"1805.01621","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.RT","submitted_at":"2018-05-04T06:28:46Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"3bce077f3305aa3438e0e0fcf0b3baba4697343ecb62f7b57eae94468f96fcda","abstract_canon_sha256":"cbccc72566aa76e96ead4d399dc94e786a296ee9901e5f382c72fab83d28f15b"},"schema_version":"1.0"},"canonical_sha256":"ce69dc8590b9cf3e37f6779a820acb91b81bd657284c3ee9412b96a9b216b52e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:09.733403Z","signature_b64":"jv21WOuPNLhOAp3KfhYuFVrm2hllvL7cyNzBM214dsC/jDoNMGewipTZipyG1uXeBXgjeToOaYNNwYURMF/NAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce69dc8590b9cf3e37f6779a820acb91b81bd657284c3ee9412b96a9b216b52e","last_reissued_at":"2026-05-17T23:51:09.732825Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:09.732825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.01621","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GF+0sA38Zt23SsmA0oiCJvNxR/mpmrfuREZRvX9S4O9S8di2sEevCi0idTTe7RugFVBsQqxF5c5dKlTmBtssBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:27:23.285824Z"},"content_sha256":"86373673fb05a6ce3cc9efa79e60b9f2028cf7c0851d24f237c02d68c020b7f4","schema_version":"1.0","event_id":"sha256:86373673fb05a6ce3cc9efa79e60b9f2028cf7c0851d24f237c02d68c020b7f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZZU5ZBMQXHHT4N7WO6NIECWLSG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Braid Group Action on Affine Yangian","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Ryosuke Kodera","submitted_at":"2018-05-04T06:28:46Z","abstract_excerpt":"We study braid group actions on Yangians associated with symmetrizable Kac-Moody Lie algebras. As an application, we focus on the affine Yangian of type A and use the action to prove that the image of the evaluation map contains the diagonal Heisenberg algebra inside $\\hat{\\mathfrak{gl}}_N$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01621","kind":"arxiv","version":3},"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":"2026-05-17T23:51:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IDJZ0IoN35Ge4UXiG6Abai3FpXZABWbza03GfULRj2i4/OXmH3hue3zoNceAB5DTcDQizKUkrDsWGaUXAB7sCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:27:23.286180Z"},"content_sha256":"ed12e0c3e37874675c2725247b261c5de7d74757070c8f0761995595eda5c0c0","schema_version":"1.0","event_id":"sha256:ed12e0c3e37874675c2725247b261c5de7d74757070c8f0761995595eda5c0c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZZU5ZBMQXHHT4N7WO6NIECWLSG/bundle.json","state_url":"https://pith.science/pith/ZZU5ZBMQXHHT4N7WO6NIECWLSG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZZU5ZBMQXHHT4N7WO6NIECWLSG/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":"2026-05-29T19:27:23Z","links":{"resolver":"https://pith.science/pith/ZZU5ZBMQXHHT4N7WO6NIECWLSG","bundle":"https://pith.science/pith/ZZU5ZBMQXHHT4N7WO6NIECWLSG/bundle.json","state":"https://pith.science/pith/ZZU5ZBMQXHHT4N7WO6NIECWLSG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZZU5ZBMQXHHT4N7WO6NIECWLSG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZZU5ZBMQXHHT4N7WO6NIECWLSG","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":"cbccc72566aa76e96ead4d399dc94e786a296ee9901e5f382c72fab83d28f15b","cross_cats_sorted":["math.QA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.RT","submitted_at":"2018-05-04T06:28:46Z","title_canon_sha256":"3bce077f3305aa3438e0e0fcf0b3baba4697343ecb62f7b57eae94468f96fcda"},"schema_version":"1.0","source":{"id":"1805.01621","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.01621","created_at":"2026-05-17T23:51:09Z"},{"alias_kind":"arxiv_version","alias_value":"1805.01621v3","created_at":"2026-05-17T23:51:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01621","created_at":"2026-05-17T23:51:09Z"},{"alias_kind":"pith_short_12","alias_value":"ZZU5ZBMQXHHT","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZZU5ZBMQXHHT4N7W","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZZU5ZBMQ","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:ed12e0c3e37874675c2725247b261c5de7d74757070c8f0761995595eda5c0c0","target":"graph","created_at":"2026-05-17T23:51:09Z","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 study braid group actions on Yangians associated with symmetrizable Kac-Moody Lie algebras. As an application, we focus on the affine Yangian of type A and use the action to prove that the image of the evaluation map contains the diagonal Heisenberg algebra inside $\\hat{\\mathfrak{gl}}_N$.","authors_text":"Ryosuke Kodera","cross_cats":["math.QA"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.RT","submitted_at":"2018-05-04T06:28:46Z","title":"Braid Group Action on Affine Yangian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01621","kind":"arxiv","version":3},"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":"sha256:86373673fb05a6ce3cc9efa79e60b9f2028cf7c0851d24f237c02d68c020b7f4","target":"record","created_at":"2026-05-17T23:51:09Z","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":"cbccc72566aa76e96ead4d399dc94e786a296ee9901e5f382c72fab83d28f15b","cross_cats_sorted":["math.QA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.RT","submitted_at":"2018-05-04T06:28:46Z","title_canon_sha256":"3bce077f3305aa3438e0e0fcf0b3baba4697343ecb62f7b57eae94468f96fcda"},"schema_version":"1.0","source":{"id":"1805.01621","kind":"arxiv","version":3}},"canonical_sha256":"ce69dc8590b9cf3e37f6779a820acb91b81bd657284c3ee9412b96a9b216b52e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce69dc8590b9cf3e37f6779a820acb91b81bd657284c3ee9412b96a9b216b52e","first_computed_at":"2026-05-17T23:51:09.732825Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:09.732825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jv21WOuPNLhOAp3KfhYuFVrm2hllvL7cyNzBM214dsC/jDoNMGewipTZipyG1uXeBXgjeToOaYNNwYURMF/NAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:09.733403Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.01621","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86373673fb05a6ce3cc9efa79e60b9f2028cf7c0851d24f237c02d68c020b7f4","sha256:ed12e0c3e37874675c2725247b261c5de7d74757070c8f0761995595eda5c0c0"],"state_sha256":"8bdc46ffa420cf3513bbb02c12ee3e92bfc7f89f0c243de908375431e215bc17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZcwaHeKM1kpGvimCfLxnWQaRnt1hth/eukdE9xSi6Xziczkd7y1NJfsQiN31HV0dgtnnug+ByEg4HZ72qlxiCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T19:27:23.288370Z","bundle_sha256":"3f8ceb9539993512eecaae1d38a2e28cac2e05301ceb95a3ed3ce676a24ee309"}}