{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3ESHJ7CYZKN4HTXR52P4PD33HS","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":"7a27c3b8fd164e31935655f442f49e7336608ee58c9f4038d43c70d8e6d6639b","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-01-16T16:49:21Z","title_canon_sha256":"dd82741dd084f8c96c184553461bc844347c89a4401c2e2508354cabd7defaf0"},"schema_version":"1.0","source":{"id":"1301.3751","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3751","created_at":"2026-05-18T03:36:16Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3751v1","created_at":"2026-05-18T03:36:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3751","created_at":"2026-05-18T03:36:16Z"},{"alias_kind":"pith_short_12","alias_value":"3ESHJ7CYZKN4","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3ESHJ7CYZKN4HTXR","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3ESHJ7CY","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:477cf88734751746eacdeb3622fb10e975c986c50973f80c3083d8ddf1d50704","target":"graph","created_at":"2026-05-18T03:36:16Z","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 are interested in the problem of transition reduction of nondeterministic automata. We present some results on the reduction of the automata recognizing the language $L(E_n)$ denoted by the regular expression $E_n=(1+\\varepsilon)... (2+\\varepsilon)... (3+\\varepsilon)... (n+\\varepsilon)$. These results can be used in the general case of the transition reduction problem.","authors_text":"Djelloul Ziadi, el Houcein el Abdalaoui, Mohamed Dahmoune","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-01-16T16:49:21Z","title":"On the transition reduction problem for finite automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3751","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":"sha256:6dc70efa4526602b4fcad193be27d2e53a5348decd67ab4a08f7abb38efa3412","target":"record","created_at":"2026-05-18T03:36:16Z","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":"7a27c3b8fd164e31935655f442f49e7336608ee58c9f4038d43c70d8e6d6639b","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-01-16T16:49:21Z","title_canon_sha256":"dd82741dd084f8c96c184553461bc844347c89a4401c2e2508354cabd7defaf0"},"schema_version":"1.0","source":{"id":"1301.3751","kind":"arxiv","version":1}},"canonical_sha256":"d92474fc58ca9bc3cef1ee9fc78f7b3c885a9da7884c3d5e4ade6f13b6d199a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d92474fc58ca9bc3cef1ee9fc78f7b3c885a9da7884c3d5e4ade6f13b6d199a6","first_computed_at":"2026-05-18T03:36:16.823702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:16.823702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hfkPtqKq6Q7KxlpA7DfJmLKXf29SAYwtQ7zcGAf1FxM69yb+uDbZ9KTqMsY3FDAXfKsD5kFNa+iG5joa/8ywAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:16.824340Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.3751","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6dc70efa4526602b4fcad193be27d2e53a5348decd67ab4a08f7abb38efa3412","sha256:477cf88734751746eacdeb3622fb10e975c986c50973f80c3083d8ddf1d50704"],"state_sha256":"1e681f1238883c4da6ae46a21936e2ed2c3647a60b92d2fa5329c3cef9cbf3fe"}