{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2MMMSR63YJ4TVKPASRFHXF7AOW","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":"8a9b3946571192bd2b867054d6b8123a5dc2d4fe5bd12a11f8e1b1fb80330fcc","cross_cats_sorted":["math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-01-09T06:58:16Z","title_canon_sha256":"727fe05068afe073c7f50015d2d6348117be8f5a54d2e824e8f84b6a370a4c14"},"schema_version":"1.0","source":{"id":"1701.02076","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02076","created_at":"2026-05-17T23:43:09Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02076v6","created_at":"2026-05-17T23:43:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02076","created_at":"2026-05-17T23:43:09Z"},{"alias_kind":"pith_short_12","alias_value":"2MMMSR63YJ4T","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2MMMSR63YJ4TVKPA","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2MMMSR63","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:afd79d28db9f2a400dd3f8bc5cc1b96cc9c4fee530b7bca432a90cdccd26b7a7","target":"graph","created_at":"2026-05-17T23:43:09Z","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":"Let $W$ be a Coxeter group. The goal of the paper is to construct new Hopf algebras that contain Hecke algebras $H_{\\bf q}(W)$ as (left) coideal subalgebras. Our Hecke-Hopf algebras ${\\bf H}(W)$ have a number of applications. In particular they provide new solutions of quantum Yang-Baxter equation and lead to a construction of a new family of endo-functors of the category of $H_{\\bf q}(W)$-modules. Hecke-Hopf algebras for the symmetric group are related to Fomin-Kirillov algebras, for an arbitrary Coxeter group $W$ the \"Demazure\" part of ${\\bf H}(W)$ is being acted upon by generalized braided ","authors_text":"Arkady Berenstein, David Kazhdan","cross_cats":["math.RA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-01-09T06:58:16Z","title":"Hecke-Hopf algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02076","kind":"arxiv","version":6},"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:bc38ae67752ec976cf0ff6fded91dc9e653ec925732949b189c6e0675a8f22cf","target":"record","created_at":"2026-05-17T23:43:09Z","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":"8a9b3946571192bd2b867054d6b8123a5dc2d4fe5bd12a11f8e1b1fb80330fcc","cross_cats_sorted":["math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-01-09T06:58:16Z","title_canon_sha256":"727fe05068afe073c7f50015d2d6348117be8f5a54d2e824e8f84b6a370a4c14"},"schema_version":"1.0","source":{"id":"1701.02076","kind":"arxiv","version":6}},"canonical_sha256":"d318c947dbc2793aa9e0944a7b97e075be4c0c10366e64058cfb3d681d787862","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d318c947dbc2793aa9e0944a7b97e075be4c0c10366e64058cfb3d681d787862","first_computed_at":"2026-05-17T23:43:09.645192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:09.645192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IUfDQoY/B8DSQR6hhBp8x5nIvLOSm1fIpKss4+kPEoBlSXIAwCRR7ltqxAyrg+U7v9pbVTLDZAmWMBzUIErwDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:09.645734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.02076","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc38ae67752ec976cf0ff6fded91dc9e653ec925732949b189c6e0675a8f22cf","sha256:afd79d28db9f2a400dd3f8bc5cc1b96cc9c4fee530b7bca432a90cdccd26b7a7"],"state_sha256":"1052da6f716aac78c3d21d2c5c204562cacb48678e2fba89d5b5d8f54bcc6f42"}