{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6UERG6VP6GMS2RK4SEEDNOROOC","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":"d90fc410c231338caacc834b35444f46ca1b33be545d936a8e173ae4200c7ec3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-04-19T16:26:20Z","title_canon_sha256":"bee3fddfbe4ccde3a3d7baaecff76cb1fea45babb40f5b3d36769716047a0362"},"schema_version":"1.0","source":{"id":"1104.3793","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3793","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3793v1","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3793","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"pith_short_12","alias_value":"6UERG6VP6GMS","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6UERG6VP6GMS2RK4","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6UERG6VP","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:39c3d68291e6769e0b3c84d670cc3282fa41cc314e365493b10e1868a79fa678","target":"graph","created_at":"2026-05-18T04:23:55Z","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":"In this paper we introduce and study a twisted tensor product construction of nonlocal vertex algebras. Among the main results, we establish a universal property and give a characterization of a twisted tensor product. Furthermore, we give a construction of modules for a twisted tensor product. We also show that smash products studied by one of us before can be realized as twisted tensor products.","authors_text":"Haisheng Li, Jiancai Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-04-19T16:26:20Z","title":"Twisted tensor products of nonlocal vertex algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3793","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":"sha256:88639b5ae7ea4dc5fc7afaf473d2045bfaaf2e8be4d0f59fef7166f6d3eab7e1","target":"record","created_at":"2026-05-18T04:23:55Z","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":"d90fc410c231338caacc834b35444f46ca1b33be545d936a8e173ae4200c7ec3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-04-19T16:26:20Z","title_canon_sha256":"bee3fddfbe4ccde3a3d7baaecff76cb1fea45babb40f5b3d36769716047a0362"},"schema_version":"1.0","source":{"id":"1104.3793","kind":"arxiv","version":1}},"canonical_sha256":"f509137aaff1992d455c910836ba2e70aad48b868b49f4ed9b434ec787514eff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f509137aaff1992d455c910836ba2e70aad48b868b49f4ed9b434ec787514eff","first_computed_at":"2026-05-18T04:23:55.677647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:55.677647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X+uTlIx5NfYky6aat76q93iitKxdMQZKOOg4WGpgFQJ0+uhflMRsmiAul5f80nevcS/SO+CrmaR6Z0xXzbYxDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:55.678159Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3793","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88639b5ae7ea4dc5fc7afaf473d2045bfaaf2e8be4d0f59fef7166f6d3eab7e1","sha256:39c3d68291e6769e0b3c84d670cc3282fa41cc314e365493b10e1868a79fa678"],"state_sha256":"9c452e68fdb98db06939acbef7b773d9a63d8400cc77b6a43a0bd51378a4ca2b"}