{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:4SLK6GSQKMLRBARILNPXFUWPB5","short_pith_number":"pith:4SLK6GSQ","canonical_record":{"source":{"id":"1007.4480","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-07-26T15:03:51Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"07af03f636742a8e16b0b33fbc8ad4f496468a6378ce4ad8809ec593ce611d36","abstract_canon_sha256":"d51ae80f35c79ac1225616f0770da5e3e7a71e90bc68c65d2b88938d74065ba7"},"schema_version":"1.0"},"canonical_sha256":"e496af1a5053171082285b5f72d2cf0f60e1eb4190307a0033abf87e03c00b5c","source":{"kind":"arxiv","id":"1007.4480","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.4480","created_at":"2026-05-18T02:06:10Z"},{"alias_kind":"arxiv_version","alias_value":"1007.4480v3","created_at":"2026-05-18T02:06:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.4480","created_at":"2026-05-18T02:06:10Z"},{"alias_kind":"pith_short_12","alias_value":"4SLK6GSQKMLR","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"4SLK6GSQKMLRBARI","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"4SLK6GSQ","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:4SLK6GSQKMLRBARILNPXFUWPB5","target":"record","payload":{"canonical_record":{"source":{"id":"1007.4480","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-07-26T15:03:51Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"07af03f636742a8e16b0b33fbc8ad4f496468a6378ce4ad8809ec593ce611d36","abstract_canon_sha256":"d51ae80f35c79ac1225616f0770da5e3e7a71e90bc68c65d2b88938d74065ba7"},"schema_version":"1.0"},"canonical_sha256":"e496af1a5053171082285b5f72d2cf0f60e1eb4190307a0033abf87e03c00b5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:10.377209Z","signature_b64":"i2CimIFrpOjbzsUOSt9AYIyoNA6v09suV4q9pJjtcO/16AYRDXj/ukMeWlIDRE7XKgXx/h3DpxvTmU+dsDefDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e496af1a5053171082285b5f72d2cf0f60e1eb4190307a0033abf87e03c00b5c","last_reissued_at":"2026-05-18T02:06:10.376690Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:10.376690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.4480","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":"2026-05-18T02:06:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ToxIho3FL9V0QMcoqHfxqagOk7cBcJutA14WxUwCf6d4yimY6JYH4pnux4wnHHbkOUWK8dCNVndag/RCwgNRBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:00:32.049034Z"},"content_sha256":"13ce9473c00bad32441e714b90b9b834a34f535ff331d344ff835b559dd28874","schema_version":"1.0","event_id":"sha256:13ce9473c00bad32441e714b90b9b834a34f535ff331d344ff835b559dd28874"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:4SLK6GSQKMLRBARILNPXFUWPB5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A rigidity result for extensions of braided tensor C*-categories derived from compact matrix quantum groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Claudia Pinzari, John E. Roberts","submitted_at":"2010-07-26T15:03:51Z","abstract_excerpt":"Let G be a classical compact Lie group and G_\\mu the associated compact matrix quantum group deformed by a positive parameter \\mu (or a nonzero and real \\mu in the type A case). It is well known that the category Rep(G_\\mu) of unitary f.d. representations of G_\\mu is a braided tensor C*-category. We show that any braided tensor *-functor from Rep(G_\\mu) to another braided tensor C*-category with irreducible tensor unit is full if |\\mu|\\neq 1. In particular, the functor of restriction to the representation category of a proper compact quantum subgroup, cannot be made into a braided functor. Our"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4480","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":"2026-05-18T02:06:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BXmGOrOuKW66dtyzxoRATduwvWqnCh+u9Q5YwMJyGda4uzECIALal18wwDp3mj1Ni/9nTPK6U7VGqqVlfLE7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:00:32.049720Z"},"content_sha256":"fca6c3c6bd285121f062aac3cddc77f0672a70e17299f260d2e6539194023248","schema_version":"1.0","event_id":"sha256:fca6c3c6bd285121f062aac3cddc77f0672a70e17299f260d2e6539194023248"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4SLK6GSQKMLRBARILNPXFUWPB5/bundle.json","state_url":"https://pith.science/pith/4SLK6GSQKMLRBARILNPXFUWPB5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4SLK6GSQKMLRBARILNPXFUWPB5/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":"2026-05-26T18:00:32Z","links":{"resolver":"https://pith.science/pith/4SLK6GSQKMLRBARILNPXFUWPB5","bundle":"https://pith.science/pith/4SLK6GSQKMLRBARILNPXFUWPB5/bundle.json","state":"https://pith.science/pith/4SLK6GSQKMLRBARILNPXFUWPB5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4SLK6GSQKMLRBARILNPXFUWPB5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4SLK6GSQKMLRBARILNPXFUWPB5","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":"d51ae80f35c79ac1225616f0770da5e3e7a71e90bc68c65d2b88938d74065ba7","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-07-26T15:03:51Z","title_canon_sha256":"07af03f636742a8e16b0b33fbc8ad4f496468a6378ce4ad8809ec593ce611d36"},"schema_version":"1.0","source":{"id":"1007.4480","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.4480","created_at":"2026-05-18T02:06:10Z"},{"alias_kind":"arxiv_version","alias_value":"1007.4480v3","created_at":"2026-05-18T02:06:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.4480","created_at":"2026-05-18T02:06:10Z"},{"alias_kind":"pith_short_12","alias_value":"4SLK6GSQKMLR","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"4SLK6GSQKMLRBARI","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"4SLK6GSQ","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:fca6c3c6bd285121f062aac3cddc77f0672a70e17299f260d2e6539194023248","target":"graph","created_at":"2026-05-18T02:06:10Z","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 G be a classical compact Lie group and G_\\mu the associated compact matrix quantum group deformed by a positive parameter \\mu (or a nonzero and real \\mu in the type A case). It is well known that the category Rep(G_\\mu) of unitary f.d. representations of G_\\mu is a braided tensor C*-category. We show that any braided tensor *-functor from Rep(G_\\mu) to another braided tensor C*-category with irreducible tensor unit is full if |\\mu|\\neq 1. In particular, the functor of restriction to the representation category of a proper compact quantum subgroup, cannot be made into a braided functor. Our","authors_text":"Claudia Pinzari, John E. Roberts","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-07-26T15:03:51Z","title":"A rigidity result for extensions of braided tensor C*-categories derived from compact matrix quantum groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4480","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":"sha256:13ce9473c00bad32441e714b90b9b834a34f535ff331d344ff835b559dd28874","target":"record","created_at":"2026-05-18T02:06:10Z","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":"d51ae80f35c79ac1225616f0770da5e3e7a71e90bc68c65d2b88938d74065ba7","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-07-26T15:03:51Z","title_canon_sha256":"07af03f636742a8e16b0b33fbc8ad4f496468a6378ce4ad8809ec593ce611d36"},"schema_version":"1.0","source":{"id":"1007.4480","kind":"arxiv","version":3}},"canonical_sha256":"e496af1a5053171082285b5f72d2cf0f60e1eb4190307a0033abf87e03c00b5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e496af1a5053171082285b5f72d2cf0f60e1eb4190307a0033abf87e03c00b5c","first_computed_at":"2026-05-18T02:06:10.376690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:10.376690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i2CimIFrpOjbzsUOSt9AYIyoNA6v09suV4q9pJjtcO/16AYRDXj/ukMeWlIDRE7XKgXx/h3DpxvTmU+dsDefDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:10.377209Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.4480","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13ce9473c00bad32441e714b90b9b834a34f535ff331d344ff835b559dd28874","sha256:fca6c3c6bd285121f062aac3cddc77f0672a70e17299f260d2e6539194023248"],"state_sha256":"a92a6479dce0cc2fb33f1b529826888874d76171ad8702763c16bd907cb55856"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9kQHx4kENRffSIH32PZGsWyG+OYTlGvtLW8BrxRua2p38m1ZdLuae1wzaiUovEtcPnUSjRjg0sOEDT8+zSu5Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:00:32.053245Z","bundle_sha256":"ef3ca5b6006480cc35c685cb5eda37382db85dea59acec6b8c1666a9dab5c36f"}}