{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:KPPPUDTOIGBAUXS2Q5GLVULQF7","short_pith_number":"pith:KPPPUDTO","schema_version":"1.0","canonical_sha256":"53defa0e6e41820a5e5a874cbad1702fda42d4cd1e7e45ad2656a58295b0ea79","source":{"kind":"arxiv","id":"1209.0124","version":1},"attestation_state":"computed","paper":{"title":"Von Neumann Categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Marc Comeau, Richard Blute","submitted_at":"2012-09-01T19:13:55Z","abstract_excerpt":"In this paper, we introduce the notion of a von Neumann category, as a generalization and categorification of von Neumann algebra. A von Neumann category is a premonoidal category with compatible dagger structure which embeds as a double commutant into a suitable premonoidal category of Hilbert spaces.\n  The notion was inspired by algebraic quantum field theory. In AQFT, one assigns to open regions in Minkowski space a C*-algebra, called the local algebra. The local algebras are patched together to form a global algebra associated to the AQFT. The key relativistic assumption is Einstein Causal"},"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":"1209.0124","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2012-09-01T19:13:55Z","cross_cats_sorted":[],"title_canon_sha256":"4aa4eba1e01ae5c43e14416eb8a861aa592f71610ebcd40f75b824ea06ccedef","abstract_canon_sha256":"725e664c38352b8eda6448b98d8d79a8b298c4342dc78f189e2bf8441c404092"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:29.862881Z","signature_b64":"3o5VhU3/DQyuPp4r0YgTsoaxucXoGJqmwdvjhhkPrlNoHbX7PgTlTmXatl7fTfyU9Mb0Ir+VWcW8lAe50JILBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53defa0e6e41820a5e5a874cbad1702fda42d4cd1e7e45ad2656a58295b0ea79","last_reissued_at":"2026-05-18T03:46:29.862104Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:29.862104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Von Neumann Categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Marc Comeau, Richard Blute","submitted_at":"2012-09-01T19:13:55Z","abstract_excerpt":"In this paper, we introduce the notion of a von Neumann category, as a generalization and categorification of von Neumann algebra. A von Neumann category is a premonoidal category with compatible dagger structure which embeds as a double commutant into a suitable premonoidal category of Hilbert spaces.\n  The notion was inspired by algebraic quantum field theory. In AQFT, one assigns to open regions in Minkowski space a C*-algebra, called the local algebra. The local algebras are patched together to form a global algebra associated to the AQFT. The key relativistic assumption is Einstein Causal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0124","kind":"arxiv","version":1},"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":"1209.0124","created_at":"2026-05-18T03:46:29.862219+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.0124v1","created_at":"2026-05-18T03:46:29.862219+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0124","created_at":"2026-05-18T03:46:29.862219+00:00"},{"alias_kind":"pith_short_12","alias_value":"KPPPUDTOIGBA","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"KPPPUDTOIGBAUXS2","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"KPPPUDTO","created_at":"2026-05-18T12:27:11.947152+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/KPPPUDTOIGBAUXS2Q5GLVULQF7","json":"https://pith.science/pith/KPPPUDTOIGBAUXS2Q5GLVULQF7.json","graph_json":"https://pith.science/api/pith-number/KPPPUDTOIGBAUXS2Q5GLVULQF7/graph.json","events_json":"https://pith.science/api/pith-number/KPPPUDTOIGBAUXS2Q5GLVULQF7/events.json","paper":"https://pith.science/paper/KPPPUDTO"},"agent_actions":{"view_html":"https://pith.science/pith/KPPPUDTOIGBAUXS2Q5GLVULQF7","download_json":"https://pith.science/pith/KPPPUDTOIGBAUXS2Q5GLVULQF7.json","view_paper":"https://pith.science/paper/KPPPUDTO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.0124&json=true","fetch_graph":"https://pith.science/api/pith-number/KPPPUDTOIGBAUXS2Q5GLVULQF7/graph.json","fetch_events":"https://pith.science/api/pith-number/KPPPUDTOIGBAUXS2Q5GLVULQF7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KPPPUDTOIGBAUXS2Q5GLVULQF7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KPPPUDTOIGBAUXS2Q5GLVULQF7/action/storage_attestation","attest_author":"https://pith.science/pith/KPPPUDTOIGBAUXS2Q5GLVULQF7/action/author_attestation","sign_citation":"https://pith.science/pith/KPPPUDTOIGBAUXS2Q5GLVULQF7/action/citation_signature","submit_replication":"https://pith.science/pith/KPPPUDTOIGBAUXS2Q5GLVULQF7/action/replication_record"}},"created_at":"2026-05-18T03:46:29.862219+00:00","updated_at":"2026-05-18T03:46:29.862219+00:00"}