{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BL23SLAMIWKXK7O2WJ3CEPVCXD","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":"fc1554d38e370b3e27bcaa9f3e6d8ab7cc2ebfb814ceaa8a80d1f76d6eb3f522","cross_cats_sorted":["cs.PL","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-07-24T07:57:09Z","title_canon_sha256":"eb21bbf7c850ce6fcbc587f604ce12e90f55d41517dda3dc73f6322b4256f149"},"schema_version":"1.0","source":{"id":"1307.6318","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.6318","created_at":"2026-05-18T01:37:37Z"},{"alias_kind":"arxiv_version","alias_value":"1307.6318v3","created_at":"2026-05-18T01:37:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6318","created_at":"2026-05-18T01:37:37Z"},{"alias_kind":"pith_short_12","alias_value":"BL23SLAMIWKX","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BL23SLAMIWKXK7O2","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BL23SLAM","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:fbe2749b2ee0fcc48df674818ff8b01f637edd723b8777b87cc0ed3afd4045f1","target":"graph","created_at":"2026-05-18T01:37:37Z","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":"We propose a semantics for permutation equivalence in higher-order rewriting. This semantics takes place in cartesian closed 2-categories, and is proved sound and complete.","authors_text":"Tom Hirschowitz (CNRS, Universit\\'e de Savoie)","cross_cats":["cs.PL","math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-07-24T07:57:09Z","title":"Cartesian closed 2-categories and permutation equivalence in higher-order rewriting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6318","kind":"arxiv","version":3},"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":"sha256:4c3333f920a5d055541f457f5b8655d3b75bae4306dda78fa84590620848b2ab","target":"record","created_at":"2026-05-18T01:37:37Z","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":"fc1554d38e370b3e27bcaa9f3e6d8ab7cc2ebfb814ceaa8a80d1f76d6eb3f522","cross_cats_sorted":["cs.PL","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-07-24T07:57:09Z","title_canon_sha256":"eb21bbf7c850ce6fcbc587f604ce12e90f55d41517dda3dc73f6322b4256f149"},"schema_version":"1.0","source":{"id":"1307.6318","kind":"arxiv","version":3}},"canonical_sha256":"0af5b92c0c4595757ddab276223ea2b8ec1c652f71ffa36c5ad765540b3f0fb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0af5b92c0c4595757ddab276223ea2b8ec1c652f71ffa36c5ad765540b3f0fb9","first_computed_at":"2026-05-18T01:37:37.999081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:37.999081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZwbzXx/WsD/urbTEozF1LRjfaiOdU4qn7/hQD2yUbeav/070gb9T0otjxwCeGxdZEZ/07KDmj+A6h0V4N1G9Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:37.999571Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.6318","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c3333f920a5d055541f457f5b8655d3b75bae4306dda78fa84590620848b2ab","sha256:fbe2749b2ee0fcc48df674818ff8b01f637edd723b8777b87cc0ed3afd4045f1"],"state_sha256":"efc7b36a61a5b5b46c1ee594a024739042ff3485e5532239ed8d1670a2e3a740"}