{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6Z2UCOS5QGZ3YB2FTXYZIHUVYH","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":"fc53aa979e4fab0527029a03f33278e4be0a4df3eb856589dcfcc16e99da2220","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-06-10T19:29:44Z","title_canon_sha256":"723ea86d4ca8b82e505cdaa3ba2ed3ea3bc96fb1aa2ee0c6e154c70cf15a12e4"},"schema_version":"1.0","source":{"id":"1806.03712","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.03712","created_at":"2026-05-18T00:13:42Z"},{"alias_kind":"arxiv_version","alias_value":"1806.03712v1","created_at":"2026-05-18T00:13:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.03712","created_at":"2026-05-18T00:13:42Z"},{"alias_kind":"pith_short_12","alias_value":"6Z2UCOS5QGZ3","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6Z2UCOS5QGZ3YB2F","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6Z2UCOS5","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:b6dbd8497a42f23a6785aa40491892fb48fcddf451830346f0f1331eee2e719e","target":"graph","created_at":"2026-05-18T00:13:42Z","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 the representation theory of two families of noncrossing partition quantum groups connected to amalgamated free products and free wreath products. This illustrates the efficiency of the methods developed in our previous joint work with M. Weber.","authors_text":"Amaury Freslon","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-06-10T19:29:44Z","title":"On the representation theory of some noncrossing partition quantum groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.03712","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:ae5e8ad1738ee2e257ba9c3a0f2caf681d5ea7d3481c3d997e86565738ef39c6","target":"record","created_at":"2026-05-18T00:13:42Z","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":"fc53aa979e4fab0527029a03f33278e4be0a4df3eb856589dcfcc16e99da2220","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-06-10T19:29:44Z","title_canon_sha256":"723ea86d4ca8b82e505cdaa3ba2ed3ea3bc96fb1aa2ee0c6e154c70cf15a12e4"},"schema_version":"1.0","source":{"id":"1806.03712","kind":"arxiv","version":1}},"canonical_sha256":"f675413a5d81b3bc07459df1941e95c1c9bdcf75783ca8bc08fcc1551be69e42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f675413a5d81b3bc07459df1941e95c1c9bdcf75783ca8bc08fcc1551be69e42","first_computed_at":"2026-05-18T00:13:42.300003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:42.300003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NEoMcvFIpX8DWVIOPVhDpWdm75jZyayDtw97Um+Is3eNCwAFPGIJJmN/T383mVJFIjvNxU6WUZcG+2qpj0oxCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:42.300770Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.03712","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae5e8ad1738ee2e257ba9c3a0f2caf681d5ea7d3481c3d997e86565738ef39c6","sha256:b6dbd8497a42f23a6785aa40491892fb48fcddf451830346f0f1331eee2e719e"],"state_sha256":"0a61b8f72ea262eea879cf1cc77599d481410f0e5c9698b8819fd1843121bbcd"}