{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5ZCO6XVAH3O3UMKWMOKQRRWA7C","short_pith_number":"pith:5ZCO6XVA","canonical_record":{"source":{"id":"1305.4255","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-05-18T12:15:36Z","cross_cats_sorted":[],"title_canon_sha256":"821994d294aab250650e3ae862a6cd0a60c2f7985f705faa955d2f48fade202f","abstract_canon_sha256":"002356642845c50a1f262cfce9d6a9a54c9103cb76d33656d63c80caa90beaf1"},"schema_version":"1.0"},"canonical_sha256":"ee44ef5ea03eddba3156639508c6c0f8bcb5e03e4d67b1548b1e0c99e0016947","source":{"kind":"arxiv","id":"1305.4255","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4255","created_at":"2026-05-18T03:25:24Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4255v1","created_at":"2026-05-18T03:25:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4255","created_at":"2026-05-18T03:25:24Z"},{"alias_kind":"pith_short_12","alias_value":"5ZCO6XVAH3O3","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5ZCO6XVAH3O3UMKW","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5ZCO6XVA","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5ZCO6XVAH3O3UMKWMOKQRRWA7C","target":"record","payload":{"canonical_record":{"source":{"id":"1305.4255","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-05-18T12:15:36Z","cross_cats_sorted":[],"title_canon_sha256":"821994d294aab250650e3ae862a6cd0a60c2f7985f705faa955d2f48fade202f","abstract_canon_sha256":"002356642845c50a1f262cfce9d6a9a54c9103cb76d33656d63c80caa90beaf1"},"schema_version":"1.0"},"canonical_sha256":"ee44ef5ea03eddba3156639508c6c0f8bcb5e03e4d67b1548b1e0c99e0016947","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:24.377109Z","signature_b64":"atuABXjhabbSi3zdBiDf5VtP+Fn9fdeYiRRXRxddVXR2JrTsgCg7yxyP7fjeBMd2kZksW6DFE64XT+uwxfh4Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee44ef5ea03eddba3156639508c6c0f8bcb5e03e4d67b1548b1e0c99e0016947","last_reissued_at":"2026-05-18T03:25:24.376469Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:24.376469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.4255","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:25:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OpI+HSXGZ/1TvBx1w+DRuInUmCQJ/vr0bPUmNCUhdLkzJ1VDWYKUaaXSKgqXiCApukblzMIw0yOhQ4Q/Mp1XDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:10:32.215956Z"},"content_sha256":"6aa02a671a390e80a33781871881ec36d82aada6213101b24d9131e900b0dc46","schema_version":"1.0","event_id":"sha256:6aa02a671a390e80a33781871881ec36d82aada6213101b24d9131e900b0dc46"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5ZCO6XVAH3O3UMKWMOKQRRWA7C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decidability of minimization of fuzzy automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.FL","authors_text":"Daowen Qiu, Lvzhou Li","submitted_at":"2013-05-18T12:15:36Z","abstract_excerpt":"State minimization is a fundamental problem in automata theory. The problem is also of great importance in the study of fuzzy automata. However, most work in the literature considered only state reduction of fuzzy automata, whereas the state minimization problem is almost untouched for fuzzy automata. Thus in this paper we focus on the latter problem. Formally, the decision version of the minimization problem of fuzzy automata is as follows: \\begin{itemize}\n  \\item Given a fuzzy automaton $\\mathcal{A}$ and a natural number $k$, that is, a pair $\\langle \\mathcal{A}, k\\rangle$, is there a $k$-st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4255","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:25:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C8VTiDeX/uQnm8ac+LtplB5MuVfnsRW3GlUstBqR9QqvrlKwNS1Yav9+bvkU9Pi5nMwyP3TdJvhXWP1FiMdVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:10:32.216326Z"},"content_sha256":"a1061a6b5d753cd0275d6d99fc6f06753f954eaa51328884719efaf4fa111383","schema_version":"1.0","event_id":"sha256:a1061a6b5d753cd0275d6d99fc6f06753f954eaa51328884719efaf4fa111383"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5ZCO6XVAH3O3UMKWMOKQRRWA7C/bundle.json","state_url":"https://pith.science/pith/5ZCO6XVAH3O3UMKWMOKQRRWA7C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5ZCO6XVAH3O3UMKWMOKQRRWA7C/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T06:10:32Z","links":{"resolver":"https://pith.science/pith/5ZCO6XVAH3O3UMKWMOKQRRWA7C","bundle":"https://pith.science/pith/5ZCO6XVAH3O3UMKWMOKQRRWA7C/bundle.json","state":"https://pith.science/pith/5ZCO6XVAH3O3UMKWMOKQRRWA7C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5ZCO6XVAH3O3UMKWMOKQRRWA7C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5ZCO6XVAH3O3UMKWMOKQRRWA7C","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":"002356642845c50a1f262cfce9d6a9a54c9103cb76d33656d63c80caa90beaf1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-05-18T12:15:36Z","title_canon_sha256":"821994d294aab250650e3ae862a6cd0a60c2f7985f705faa955d2f48fade202f"},"schema_version":"1.0","source":{"id":"1305.4255","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4255","created_at":"2026-05-18T03:25:24Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4255v1","created_at":"2026-05-18T03:25:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4255","created_at":"2026-05-18T03:25:24Z"},{"alias_kind":"pith_short_12","alias_value":"5ZCO6XVAH3O3","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5ZCO6XVAH3O3UMKW","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5ZCO6XVA","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:a1061a6b5d753cd0275d6d99fc6f06753f954eaa51328884719efaf4fa111383","target":"graph","created_at":"2026-05-18T03:25:24Z","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":"State minimization is a fundamental problem in automata theory. The problem is also of great importance in the study of fuzzy automata. However, most work in the literature considered only state reduction of fuzzy automata, whereas the state minimization problem is almost untouched for fuzzy automata. Thus in this paper we focus on the latter problem. Formally, the decision version of the minimization problem of fuzzy automata is as follows: \\begin{itemize}\n  \\item Given a fuzzy automaton $\\mathcal{A}$ and a natural number $k$, that is, a pair $\\langle \\mathcal{A}, k\\rangle$, is there a $k$-st","authors_text":"Daowen Qiu, Lvzhou Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-05-18T12:15:36Z","title":"Decidability of minimization of fuzzy automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4255","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":"sha256:6aa02a671a390e80a33781871881ec36d82aada6213101b24d9131e900b0dc46","target":"record","created_at":"2026-05-18T03:25:24Z","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":"002356642845c50a1f262cfce9d6a9a54c9103cb76d33656d63c80caa90beaf1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-05-18T12:15:36Z","title_canon_sha256":"821994d294aab250650e3ae862a6cd0a60c2f7985f705faa955d2f48fade202f"},"schema_version":"1.0","source":{"id":"1305.4255","kind":"arxiv","version":1}},"canonical_sha256":"ee44ef5ea03eddba3156639508c6c0f8bcb5e03e4d67b1548b1e0c99e0016947","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee44ef5ea03eddba3156639508c6c0f8bcb5e03e4d67b1548b1e0c99e0016947","first_computed_at":"2026-05-18T03:25:24.376469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:24.376469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"atuABXjhabbSi3zdBiDf5VtP+Fn9fdeYiRRXRxddVXR2JrTsgCg7yxyP7fjeBMd2kZksW6DFE64XT+uwxfh4Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:24.377109Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4255","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6aa02a671a390e80a33781871881ec36d82aada6213101b24d9131e900b0dc46","sha256:a1061a6b5d753cd0275d6d99fc6f06753f954eaa51328884719efaf4fa111383"],"state_sha256":"386723dc4c5cf392b03d52d7cac8c877bdced94faf3bf9afd190c79662cfdd7a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vpvmN1gCWwQHKfP6ITbILWr5/5jkigL1fRkg9/g0+JkgB4Nu1Ugy2Zz3t0v2vsuKiiHAzfmy+o0mVEsxuavbBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:10:32.218407Z","bundle_sha256":"50582f9d9591d35301e80e30a03937293297e2a8deaf61769943faaafa2244b6"}}