{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:JIFALZUDD2YKSH7ZSNKAAHMIQ7","short_pith_number":"pith:JIFALZUD","schema_version":"1.0","canonical_sha256":"4a0a05e6831eb0a91ff99354001d8887dde8ce7b889115ab77fde051f3ab2eb2","source":{"kind":"arxiv","id":"1412.3621","version":3},"attestation_state":"computed","paper":{"title":"On C*-algebras which cannot be decomposed into tensor products with both factors infinite-dimensional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Tomasz Kania","submitted_at":"2014-12-11T12:10:20Z","abstract_excerpt":"We prove that C*-algebras which, as Banach spaces, are Grothendieck cannot be decomposed into a tensor product of two infinite-dimensional C*-algebras. By a result of Pfitzner, this class contains all von Neumann algebras and their norm-quotients. We thus complement a recent result of Ghasemi who established a similar conclusion for the class of SAW*-algebras."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1412.3621","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-12-11T12:10:20Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"ccafdbb49316d32014bb53af64a35dcf05e29d138e375695060ee81ec0ee51ac","abstract_canon_sha256":"9a0e60ace9ecea5614e09c2e093972502cb42845bae96300ae407c923591fa2b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:29.398175Z","signature_b64":"drEKOW4x67njSKiOBTC02GU7p6TpmxRHuXa5ldH4tUlGV+zPWeNWlFG3CUROaD+BuLOe/6R2sRviAL7DFlk4Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a0a05e6831eb0a91ff99354001d8887dde8ce7b889115ab77fde051f3ab2eb2","last_reissued_at":"2026-05-18T01:01:29.397748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:29.397748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On C*-algebras which cannot be decomposed into tensor products with both factors infinite-dimensional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Tomasz Kania","submitted_at":"2014-12-11T12:10:20Z","abstract_excerpt":"We prove that C*-algebras which, as Banach spaces, are Grothendieck cannot be decomposed into a tensor product of two infinite-dimensional C*-algebras. By a result of Pfitzner, this class contains all von Neumann algebras and their norm-quotients. We thus complement a recent result of Ghasemi who established a similar conclusion for the class of SAW*-algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3621","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1412.3621","created_at":"2026-05-18T01:01:29.397812+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.3621v3","created_at":"2026-05-18T01:01:29.397812+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3621","created_at":"2026-05-18T01:01:29.397812+00:00"},{"alias_kind":"pith_short_12","alias_value":"JIFALZUDD2YK","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"JIFALZUDD2YKSH7Z","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"JIFALZUD","created_at":"2026-05-18T12:28:33.132498+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JIFALZUDD2YKSH7ZSNKAAHMIQ7","json":"https://pith.science/pith/JIFALZUDD2YKSH7ZSNKAAHMIQ7.json","graph_json":"https://pith.science/api/pith-number/JIFALZUDD2YKSH7ZSNKAAHMIQ7/graph.json","events_json":"https://pith.science/api/pith-number/JIFALZUDD2YKSH7ZSNKAAHMIQ7/events.json","paper":"https://pith.science/paper/JIFALZUD"},"agent_actions":{"view_html":"https://pith.science/pith/JIFALZUDD2YKSH7ZSNKAAHMIQ7","download_json":"https://pith.science/pith/JIFALZUDD2YKSH7ZSNKAAHMIQ7.json","view_paper":"https://pith.science/paper/JIFALZUD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.3621&json=true","fetch_graph":"https://pith.science/api/pith-number/JIFALZUDD2YKSH7ZSNKAAHMIQ7/graph.json","fetch_events":"https://pith.science/api/pith-number/JIFALZUDD2YKSH7ZSNKAAHMIQ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JIFALZUDD2YKSH7ZSNKAAHMIQ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JIFALZUDD2YKSH7ZSNKAAHMIQ7/action/storage_attestation","attest_author":"https://pith.science/pith/JIFALZUDD2YKSH7ZSNKAAHMIQ7/action/author_attestation","sign_citation":"https://pith.science/pith/JIFALZUDD2YKSH7ZSNKAAHMIQ7/action/citation_signature","submit_replication":"https://pith.science/pith/JIFALZUDD2YKSH7ZSNKAAHMIQ7/action/replication_record"}},"created_at":"2026-05-18T01:01:29.397812+00:00","updated_at":"2026-05-18T01:01:29.397812+00:00"}