{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6TOGDSFJWDEFIPEYVL5LFX7H76","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":"17d636a8e2bd02f113b72a8320a81fc9a39f5b73bf3e8309bfed50ff8fa7e6d5","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-11-25T01:37:51Z","title_canon_sha256":"67dd821c9efd6da1bd9bffb04fed2ea4a66e232df5b55c4f242b418e661139d6"},"schema_version":"1.0","source":{"id":"2511.19825","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.19825","created_at":"2026-05-20T00:00:28Z"},{"alias_kind":"arxiv_version","alias_value":"2511.19825v2","created_at":"2026-05-20T00:00:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.19825","created_at":"2026-05-20T00:00:28Z"},{"alias_kind":"pith_short_12","alias_value":"6TOGDSFJWDEF","created_at":"2026-05-20T00:00:28Z"},{"alias_kind":"pith_short_16","alias_value":"6TOGDSFJWDEFIPEY","created_at":"2026-05-20T00:00:28Z"},{"alias_kind":"pith_short_8","alias_value":"6TOGDSFJ","created_at":"2026-05-20T00:00:28Z"}],"graph_snapshots":[{"event_id":"sha256:35db9e269219b84c7f184cbb5e4290700b58a112faad4f91e3412f0d39f65288","target":"graph","created_at":"2026-05-20T00:00:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2511.19825/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the first part of this series, the authors introduced the quantum wreath product, providing a unified framework that encompasses numerous results previously addressed only through case-by-case analysis. This paper shifts focus to the fundamental construction of modules over these products, termed wreath modules. Our approach utilizes parabolic induction on tensor products combined with a sophisticated labeling scheme based on multipartitions. While the underlying constructions are technically involved, they offer a transparent realization of several prominent module families. Specifically, ","authors_text":"Chun-Ju Lai, Daniel K. Nakano, Ziqing Xiang","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-11-25T01:37:51Z","title":"Quantum wreath products and Schur--Weyl duality II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.19825","kind":"arxiv","version":2},"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:bff8ae0a169ae1c75622df67061aa9a8a9aa5735dc380fa95ec8f83aee65fea3","target":"record","created_at":"2026-05-20T00:00:28Z","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":"17d636a8e2bd02f113b72a8320a81fc9a39f5b73bf3e8309bfed50ff8fa7e6d5","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-11-25T01:37:51Z","title_canon_sha256":"67dd821c9efd6da1bd9bffb04fed2ea4a66e232df5b55c4f242b418e661139d6"},"schema_version":"1.0","source":{"id":"2511.19825","kind":"arxiv","version":2}},"canonical_sha256":"f4dc61c8a9b0c8543c98aafab2dfe7ff900e587529482e4a4301a37f73c6928d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4dc61c8a9b0c8543c98aafab2dfe7ff900e587529482e4a4301a37f73c6928d","first_computed_at":"2026-05-20T00:00:28.753268Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:00:28.753268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CYK6YeeMBIzp+yMBnU6Mx10jKgEU6VQVPv4uU9GglsxCMZzIVFM+CJc1AyNZqlbnxkSn2bt7HXzpU1JMzwh6Dw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:00:28.753867Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.19825","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bff8ae0a169ae1c75622df67061aa9a8a9aa5735dc380fa95ec8f83aee65fea3","sha256:35db9e269219b84c7f184cbb5e4290700b58a112faad4f91e3412f0d39f65288"],"state_sha256":"83dbb23493f966480fe59d1231167e5afc4479ef80f236382ead9639a4587985"}