{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6MFDIGYK647QUFVMTN2IEEWIRQ","short_pith_number":"pith:6MFDIGYK","canonical_record":{"source":{"id":"1504.01292","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-04-06T14:34:04Z","cross_cats_sorted":["math.DS","math.FA"],"title_canon_sha256":"1c8c2ce4d870b721838009bf3253ab11130e8ce3ed8d4af1e24b9d48ecdb78b0","abstract_canon_sha256":"456cae50cbcbb8717ceaf5273aa0bcea140dc4ccb3459a219fdea80d96ec196c"},"schema_version":"1.0"},"canonical_sha256":"f30a341b0af73f0a16ac9b748212c88c0725b6e940adf3eae35ed927ca4e295d","source":{"kind":"arxiv","id":"1504.01292","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.01292","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"arxiv_version","alias_value":"1504.01292v3","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01292","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"pith_short_12","alias_value":"6MFDIGYK647Q","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6MFDIGYK647QUFVM","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6MFDIGYK","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6MFDIGYK647QUFVMTN2IEEWIRQ","target":"record","payload":{"canonical_record":{"source":{"id":"1504.01292","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-04-06T14:34:04Z","cross_cats_sorted":["math.DS","math.FA"],"title_canon_sha256":"1c8c2ce4d870b721838009bf3253ab11130e8ce3ed8d4af1e24b9d48ecdb78b0","abstract_canon_sha256":"456cae50cbcbb8717ceaf5273aa0bcea140dc4ccb3459a219fdea80d96ec196c"},"schema_version":"1.0"},"canonical_sha256":"f30a341b0af73f0a16ac9b748212c88c0725b6e940adf3eae35ed927ca4e295d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:41.840306Z","signature_b64":"VHKoWj7lgRJA6eG1d7BzP+8VMMKjk9tjIbcYd7unmJWGDbrblOAedRHdFBV/HI/LDXX6wZS3xkO2VcN+zbzLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f30a341b0af73f0a16ac9b748212c88c0725b6e940adf3eae35ed927ca4e295d","last_reissued_at":"2026-05-18T00:40:41.839490Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:41.839490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.01292","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":"2026-05-18T00:40:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eL1PCGuxHaVvmTFluGfN2cIPC3duxvlpeGpaXOMD/zhgH5K7NWwu+jqmJLID8KGTpTDJUPIqpHyeYf1poMkVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T20:02:15.648092Z"},"content_sha256":"ea28ae610aca23b344029b5f0629f4449f9e709fbfcf010d0b6f19db0dec5f08","schema_version":"1.0","event_id":"sha256:ea28ae610aca23b344029b5f0629f4449f9e709fbfcf010d0b6f19db0dec5f08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6MFDIGYK647QUFVMTN2IEEWIRQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weak mixing for locally compact quantum groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.FA"],"primary_cat":"math.OA","authors_text":"Ami Viselter","submitted_at":"2015-04-06T14:34:04Z","abstract_excerpt":"We generalize the notion of weakly mixing unitary representations to locally compact quantum groups, introducing suitable extensions of all standard characterizations of weak mixing to this setting. These results are used to complement the noncommutative Jacobs-de Leeuw-Glicksberg splitting theorem of Runde and the author [\"Ergodic theory for quantum semigroups\", J. Lond. Math. Soc. (2) 89 (2014) 941-959]. Furthermore, a relation between mixing and weak mixing of state-preserving actions of discrete quantum groups and the properties of certain inclusions of von Neumann algebras, which is known"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01292","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":"2026-05-18T00:40:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LqyPSekBuz2ckMty0Hag8fEnC3oyG8TQ8lq4Pf+zY3ljBR1UFgYQ/4egdS6Z70UC4EqHImGsDtxAPdofmkSfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T20:02:15.648473Z"},"content_sha256":"5b4db2c80dcb10e9aedb33ba42f0c0f2f734ce18199189a841ba75904edeee13","schema_version":"1.0","event_id":"sha256:5b4db2c80dcb10e9aedb33ba42f0c0f2f734ce18199189a841ba75904edeee13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6MFDIGYK647QUFVMTN2IEEWIRQ/bundle.json","state_url":"https://pith.science/pith/6MFDIGYK647QUFVMTN2IEEWIRQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6MFDIGYK647QUFVMTN2IEEWIRQ/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":"2026-06-10T20:02:15Z","links":{"resolver":"https://pith.science/pith/6MFDIGYK647QUFVMTN2IEEWIRQ","bundle":"https://pith.science/pith/6MFDIGYK647QUFVMTN2IEEWIRQ/bundle.json","state":"https://pith.science/pith/6MFDIGYK647QUFVMTN2IEEWIRQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6MFDIGYK647QUFVMTN2IEEWIRQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6MFDIGYK647QUFVMTN2IEEWIRQ","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":"456cae50cbcbb8717ceaf5273aa0bcea140dc4ccb3459a219fdea80d96ec196c","cross_cats_sorted":["math.DS","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-04-06T14:34:04Z","title_canon_sha256":"1c8c2ce4d870b721838009bf3253ab11130e8ce3ed8d4af1e24b9d48ecdb78b0"},"schema_version":"1.0","source":{"id":"1504.01292","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.01292","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"arxiv_version","alias_value":"1504.01292v3","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01292","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"pith_short_12","alias_value":"6MFDIGYK647Q","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6MFDIGYK647QUFVM","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6MFDIGYK","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:5b4db2c80dcb10e9aedb33ba42f0c0f2f734ce18199189a841ba75904edeee13","target":"graph","created_at":"2026-05-18T00:40:41Z","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 generalize the notion of weakly mixing unitary representations to locally compact quantum groups, introducing suitable extensions of all standard characterizations of weak mixing to this setting. These results are used to complement the noncommutative Jacobs-de Leeuw-Glicksberg splitting theorem of Runde and the author [\"Ergodic theory for quantum semigroups\", J. Lond. Math. Soc. (2) 89 (2014) 941-959]. Furthermore, a relation between mixing and weak mixing of state-preserving actions of discrete quantum groups and the properties of certain inclusions of von Neumann algebras, which is known","authors_text":"Ami Viselter","cross_cats":["math.DS","math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-04-06T14:34:04Z","title":"Weak mixing for locally compact quantum groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01292","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:ea28ae610aca23b344029b5f0629f4449f9e709fbfcf010d0b6f19db0dec5f08","target":"record","created_at":"2026-05-18T00:40:41Z","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":"456cae50cbcbb8717ceaf5273aa0bcea140dc4ccb3459a219fdea80d96ec196c","cross_cats_sorted":["math.DS","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-04-06T14:34:04Z","title_canon_sha256":"1c8c2ce4d870b721838009bf3253ab11130e8ce3ed8d4af1e24b9d48ecdb78b0"},"schema_version":"1.0","source":{"id":"1504.01292","kind":"arxiv","version":3}},"canonical_sha256":"f30a341b0af73f0a16ac9b748212c88c0725b6e940adf3eae35ed927ca4e295d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f30a341b0af73f0a16ac9b748212c88c0725b6e940adf3eae35ed927ca4e295d","first_computed_at":"2026-05-18T00:40:41.839490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:41.839490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VHKoWj7lgRJA6eG1d7BzP+8VMMKjk9tjIbcYd7unmJWGDbrblOAedRHdFBV/HI/LDXX6wZS3xkO2VcN+zbzLAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:41.840306Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.01292","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea28ae610aca23b344029b5f0629f4449f9e709fbfcf010d0b6f19db0dec5f08","sha256:5b4db2c80dcb10e9aedb33ba42f0c0f2f734ce18199189a841ba75904edeee13"],"state_sha256":"aa56ac788168e13ce729f2440c6b726840a6097e7d692138ccf3184cdabff9fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g7EeC0O2IEgMBJwL6JLKwqBpjpF3ZLS7av+DRLopjZpCO60qwyePCqRkMeUJ5pSz+bpWSDT4lXdJ0tJvlI6nBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T20:02:15.650280Z","bundle_sha256":"c84f99e5c80ff0f0ca41fa84c3bd2f660e66e8d6a12f5e8ee086fbf346eab561"}}