{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:3HT7BDN477UXXBFVDZ62P4WNRW","short_pith_number":"pith:3HT7BDN4","canonical_record":{"source":{"id":"cs/0605106","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.LO","submitted_at":"2006-05-24T15:23:34Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"3742fbf88bf10cdbd8982645e17e00c24b6a62c8bf76877b65b27d05699cf729","abstract_canon_sha256":"e4b94ffe00c35669b8ed67dd39dc20b86854317621a7ca16212b071accc35d38"},"schema_version":"1.0"},"canonical_sha256":"d9e7f08dbcffe97b84b51e7da7f2cd8d8fc0471f086d1f267280e8671727bfab","source":{"kind":"arxiv","id":"cs/0605106","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0605106","created_at":"2026-05-18T00:58:08Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0605106v1","created_at":"2026-05-18T00:58:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0605106","created_at":"2026-05-18T00:58:08Z"},{"alias_kind":"pith_short_12","alias_value":"3HT7BDN477UX","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"3HT7BDN477UXXBFV","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"3HT7BDN4","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:3HT7BDN477UXXBFVDZ62P4WNRW","target":"record","payload":{"canonical_record":{"source":{"id":"cs/0605106","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.LO","submitted_at":"2006-05-24T15:23:34Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"3742fbf88bf10cdbd8982645e17e00c24b6a62c8bf76877b65b27d05699cf729","abstract_canon_sha256":"e4b94ffe00c35669b8ed67dd39dc20b86854317621a7ca16212b071accc35d38"},"schema_version":"1.0"},"canonical_sha256":"d9e7f08dbcffe97b84b51e7da7f2cd8d8fc0471f086d1f267280e8671727bfab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:08.825251Z","signature_b64":"iDrVi+J9TPlPrqrueA14iK7CyPtycNw627ZRapuFw0x/wUcIAYFVd8zmCFitAv6bkY2HYhbV7ormX7kLPirxDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9e7f08dbcffe97b84b51e7da7f2cd8d8fc0471f086d1f267280e8671727bfab","last_reissued_at":"2026-05-18T00:58:08.824715Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:08.824715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cs/0605106","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":"2026-05-18T00:58:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z19MsaMEnIuVe1X2KPm97OOYHDmA1DnZIeDADmIoBxO0U7vt8Pei41//6k9h9tKI2x5eOYlOaAWZvp3ko+YpCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:49:12.018544Z"},"content_sha256":"c363666bed4f0fe139bfc100ca870f2a4595a6d8d9cc04ca4eea15369c56f0a3","schema_version":"1.0","event_id":"sha256:c363666bed4f0fe139bfc100ca870f2a4595a6d8d9cc04ca4eea15369c56f0a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:3HT7BDN477UXXBFVDZ62P4WNRW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Supervisory Control of Fuzzy Discrete Event Systems: A Formal Approach","license":"","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LO","authors_text":"Daowen Qiu","submitted_at":"2006-05-24T15:23:34Z","abstract_excerpt":"Fuzzy {\\it discrete event systems} (DESs) were proposed recently by Lin and Ying [19], which may better cope with the real-world problems with fuzziness, impreciseness, and subjectivity such as those in biomedicine. As a continuation of [19], in this paper we further develop fuzzy DESs by dealing with supervisory control of fuzzy DESs. More specifically, (i) we reformulate the parallel composition of crisp DESs, and then define the parallel composition of fuzzy DESs that is equivalent to that in [19]; {\\it max-product} and {\\it max-min} automata for modeling fuzzy DESs are considered; (ii) we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0605106","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":"2026-05-18T00:58:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xCKvX8IubLNjlxxuPdE2xE6VpWhFOGIbJlGLFxZ8AbAAM6GJaSYiWqqQKNVwtdG2deuDGkEFZUXzuSorVuuTDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:49:12.018917Z"},"content_sha256":"a4e37d9590b22145b1714bd0ac68bdd63229e0c053e045af705c936aa0749a11","schema_version":"1.0","event_id":"sha256:a4e37d9590b22145b1714bd0ac68bdd63229e0c053e045af705c936aa0749a11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3HT7BDN477UXXBFVDZ62P4WNRW/bundle.json","state_url":"https://pith.science/pith/3HT7BDN477UXXBFVDZ62P4WNRW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3HT7BDN477UXXBFVDZ62P4WNRW/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":"2026-06-04T02:49:12Z","links":{"resolver":"https://pith.science/pith/3HT7BDN477UXXBFVDZ62P4WNRW","bundle":"https://pith.science/pith/3HT7BDN477UXXBFVDZ62P4WNRW/bundle.json","state":"https://pith.science/pith/3HT7BDN477UXXBFVDZ62P4WNRW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3HT7BDN477UXXBFVDZ62P4WNRW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:3HT7BDN477UXXBFVDZ62P4WNRW","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":"e4b94ffe00c35669b8ed67dd39dc20b86854317621a7ca16212b071accc35d38","cross_cats_sorted":["cs.AI"],"license":"","primary_cat":"cs.LO","submitted_at":"2006-05-24T15:23:34Z","title_canon_sha256":"3742fbf88bf10cdbd8982645e17e00c24b6a62c8bf76877b65b27d05699cf729"},"schema_version":"1.0","source":{"id":"cs/0605106","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0605106","created_at":"2026-05-18T00:58:08Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0605106v1","created_at":"2026-05-18T00:58:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0605106","created_at":"2026-05-18T00:58:08Z"},{"alias_kind":"pith_short_12","alias_value":"3HT7BDN477UX","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"3HT7BDN477UXXBFV","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"3HT7BDN4","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:a4e37d9590b22145b1714bd0ac68bdd63229e0c053e045af705c936aa0749a11","target":"graph","created_at":"2026-05-18T00:58:08Z","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":"Fuzzy {\\it discrete event systems} (DESs) were proposed recently by Lin and Ying [19], which may better cope with the real-world problems with fuzziness, impreciseness, and subjectivity such as those in biomedicine. As a continuation of [19], in this paper we further develop fuzzy DESs by dealing with supervisory control of fuzzy DESs. More specifically, (i) we reformulate the parallel composition of crisp DESs, and then define the parallel composition of fuzzy DESs that is equivalent to that in [19]; {\\it max-product} and {\\it max-min} automata for modeling fuzzy DESs are considered; (ii) we ","authors_text":"Daowen Qiu","cross_cats":["cs.AI"],"headline":"","license":"","primary_cat":"cs.LO","submitted_at":"2006-05-24T15:23:34Z","title":"Supervisory Control of Fuzzy Discrete Event Systems: A Formal Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0605106","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:c363666bed4f0fe139bfc100ca870f2a4595a6d8d9cc04ca4eea15369c56f0a3","target":"record","created_at":"2026-05-18T00:58:08Z","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":"e4b94ffe00c35669b8ed67dd39dc20b86854317621a7ca16212b071accc35d38","cross_cats_sorted":["cs.AI"],"license":"","primary_cat":"cs.LO","submitted_at":"2006-05-24T15:23:34Z","title_canon_sha256":"3742fbf88bf10cdbd8982645e17e00c24b6a62c8bf76877b65b27d05699cf729"},"schema_version":"1.0","source":{"id":"cs/0605106","kind":"arxiv","version":1}},"canonical_sha256":"d9e7f08dbcffe97b84b51e7da7f2cd8d8fc0471f086d1f267280e8671727bfab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9e7f08dbcffe97b84b51e7da7f2cd8d8fc0471f086d1f267280e8671727bfab","first_computed_at":"2026-05-18T00:58:08.824715Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:08.824715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iDrVi+J9TPlPrqrueA14iK7CyPtycNw627ZRapuFw0x/wUcIAYFVd8zmCFitAv6bkY2HYhbV7ormX7kLPirxDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:08.825251Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0605106","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c363666bed4f0fe139bfc100ca870f2a4595a6d8d9cc04ca4eea15369c56f0a3","sha256:a4e37d9590b22145b1714bd0ac68bdd63229e0c053e045af705c936aa0749a11"],"state_sha256":"b584747f04a089d5723b79db99ea71003a67129e79531a18386ff9941d78d219"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tgdkfq0FtsmqX6uufoz4DW4EL1kxsW9TYvaAbHVF4irCTfSU7nskNPx13vkhb8Ci2HtjKhwLS8W7VFViOk9cBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T02:49:12.020981Z","bundle_sha256":"4ef9dc76b9ded0a48c3f254ccb35e7c2f035a786f732db265e83a8ef797c0c59"}}