{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:E32FWMPTUD6TFZEARK6L3LNTLE","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":"3fd7a53e04d8b2192146ee25fb8e4d2db35692867fc8b6f4d89db97e2331fd21","cross_cats_sorted":["math.CO","math.CT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-05T09:56:45Z","title_canon_sha256":"d3af0cacf8a674a9d8e32785681ccde737c9c22cb2a33cf1438e8a6cdad60168"},"schema_version":"1.0","source":{"id":"1903.01750","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.01750","created_at":"2026-05-17T23:51:59Z"},{"alias_kind":"arxiv_version","alias_value":"1903.01750v1","created_at":"2026-05-17T23:51:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.01750","created_at":"2026-05-17T23:51:59Z"},{"alias_kind":"pith_short_12","alias_value":"E32FWMPTUD6T","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"E32FWMPTUD6TFZEA","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"E32FWMPT","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:8cfca7a0ee91b1decf97baa98c9b9b265ca79bee39ded31fca14e1145cd8996e","target":"graph","created_at":"2026-05-17T23:51:59Z","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":"As part of the study of correspondence functors, the present paper investigates their tensor product and proves some of its main properties. In particular, the correspondence functor associated to a finite lattice has the structure of a commutative algebra in the tensor category of all correspondence functors.","authors_text":"Jacques Th\\'evenaz, Serge Bouc","cross_cats":["math.CO","math.CT","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-05T09:56:45Z","title":"Tensor product of correspondence functors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.01750","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":"sha256:2596749feb6f550ed62c276e11371e8c0b4e7dc3b626ba5f8ac964be1729109f","target":"record","created_at":"2026-05-17T23:51:59Z","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":"3fd7a53e04d8b2192146ee25fb8e4d2db35692867fc8b6f4d89db97e2331fd21","cross_cats_sorted":["math.CO","math.CT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-05T09:56:45Z","title_canon_sha256":"d3af0cacf8a674a9d8e32785681ccde737c9c22cb2a33cf1438e8a6cdad60168"},"schema_version":"1.0","source":{"id":"1903.01750","kind":"arxiv","version":1}},"canonical_sha256":"26f45b31f3a0fd32e4808abcbdadb35902197c1e4ff911ed12359dad71301fe6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26f45b31f3a0fd32e4808abcbdadb35902197c1e4ff911ed12359dad71301fe6","first_computed_at":"2026-05-17T23:51:59.864151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:59.864151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sqWZDuevlY1B+7XV8HQqYaRrbrdpy8hPOi1yvcJxi91YW/AGHlGPJI4BfAnm94uUMS7KWoTsVt1xRDdWq4xEBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:59.864534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.01750","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2596749feb6f550ed62c276e11371e8c0b4e7dc3b626ba5f8ac964be1729109f","sha256:8cfca7a0ee91b1decf97baa98c9b9b265ca79bee39ded31fca14e1145cd8996e"],"state_sha256":"ad3038ed93d69e4f6871829f29db8fbe9fb2391f25b509880d38488d27a9ce66"}