{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:E6X7OAGNIIFSD6QYTU2UB47ZZK","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":"b8cf9e79b6ef96b2589394904918cc98e088187b4e93b0d08008ce6846881591","cross_cats_sorted":["math.FA","math.QA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2024-12-23T10:06:27Z","title_canon_sha256":"f0988c32069c5ac4e2fefc73be66b5ac867d5d34d70f377d5a4a7c4ef5923296"},"schema_version":"1.0","source":{"id":"2412.17444","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.17444","created_at":"2026-07-05T09:53:22Z"},{"alias_kind":"arxiv_version","alias_value":"2412.17444v1","created_at":"2026-07-05T09:53:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.17444","created_at":"2026-07-05T09:53:22Z"},{"alias_kind":"pith_short_12","alias_value":"E6X7OAGNIIFS","created_at":"2026-07-05T09:53:22Z"},{"alias_kind":"pith_short_16","alias_value":"E6X7OAGNIIFSD6QY","created_at":"2026-07-05T09:53:22Z"},{"alias_kind":"pith_short_8","alias_value":"E6X7OAGN","created_at":"2026-07-05T09:53:22Z"}],"graph_snapshots":[{"event_id":"sha256:9a5c397d628a7f21a0bb939acdbec7a443de48690c0b5ad23f87c091da0f37d0","target":"graph","created_at":"2026-07-05T09:53:22Z","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/2412.17444/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a definition of braided tensor product $\\operatorname{M}\\overline{\\boxtimes}\\operatorname{N}$ of von Neumann algebras equipped with an action of a quasi-triangular quantum group $\\mathbb{G}$ (this includes the case when $\\mathbb{G}$ is a Drinfeld double). It is a new von Neumann algebra which comes together with embeddings of $\\operatorname{M},\\operatorname{N}$ and the unique action of $\\mathbb{G}$ for which embeddings are equivariant. More generally, we construct braided tensor product of von Neumann algebras equipped with actions of locally compact quantum groups linked by a bic","authors_text":"Jacek Krajczok, Kenny De Commer","cross_cats":["math.FA","math.QA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2024-12-23T10:06:27Z","title":"Braided tensor product of von Neumann algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.17444","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":"sha256:0ee7327e72fda27941487f1698cc588465491f2d6d5c5d180f1ca5899d6d77f9","target":"record","created_at":"2026-07-05T09:53:22Z","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":"b8cf9e79b6ef96b2589394904918cc98e088187b4e93b0d08008ce6846881591","cross_cats_sorted":["math.FA","math.QA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2024-12-23T10:06:27Z","title_canon_sha256":"f0988c32069c5ac4e2fefc73be66b5ac867d5d34d70f377d5a4a7c4ef5923296"},"schema_version":"1.0","source":{"id":"2412.17444","kind":"arxiv","version":1}},"canonical_sha256":"27aff700cd420b21fa189d3540f3f9caa6a9ee269deff8bf1bb3abaa83d6ddc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27aff700cd420b21fa189d3540f3f9caa6a9ee269deff8bf1bb3abaa83d6ddc4","first_computed_at":"2026-07-05T09:53:22.583008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:53:22.583008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iRk+g/6WKq4aydePvwP/sfx6A08ii37wSGiFqrG2JFgGVqY6W22F0MCYq/wi/U7S6pHl8vpmbLwwlAiVDiiFCg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:53:22.583431Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.17444","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ee7327e72fda27941487f1698cc588465491f2d6d5c5d180f1ca5899d6d77f9","sha256:9a5c397d628a7f21a0bb939acdbec7a443de48690c0b5ad23f87c091da0f37d0"],"state_sha256":"507c5e682e67a14f131c54c51b954b78d72c1d2fcf8eab771c9457e11a445b22"}