{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GMB5E45QQ2ET3ZEAR3XVKOZRYF","short_pith_number":"pith:GMB5E45Q","canonical_record":{"source":{"id":"1808.00261","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-08-01T10:53:34Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"db81988d2b57721c78e8ade9b38f09301ec5aa7058765f444c351ea6de26f641","abstract_canon_sha256":"d2d75c69fe58a96ed48ddc28325415d7e4fd70b4855c016c1485c643b7cb2a43"},"schema_version":"1.0"},"canonical_sha256":"3303d273b086893de4808eef553b31c15fb8bb49c847de48a9ef6edee0201091","source":{"kind":"arxiv","id":"1808.00261","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00261","created_at":"2026-05-17T23:48:22Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00261v2","created_at":"2026-05-17T23:48:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00261","created_at":"2026-05-17T23:48:22Z"},{"alias_kind":"pith_short_12","alias_value":"GMB5E45QQ2ET","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GMB5E45QQ2ET3ZEA","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GMB5E45Q","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GMB5E45QQ2ET3ZEAR3XVKOZRYF","target":"record","payload":{"canonical_record":{"source":{"id":"1808.00261","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-08-01T10:53:34Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"db81988d2b57721c78e8ade9b38f09301ec5aa7058765f444c351ea6de26f641","abstract_canon_sha256":"d2d75c69fe58a96ed48ddc28325415d7e4fd70b4855c016c1485c643b7cb2a43"},"schema_version":"1.0"},"canonical_sha256":"3303d273b086893de4808eef553b31c15fb8bb49c847de48a9ef6edee0201091","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:22.535335Z","signature_b64":"6Ki3nRuuTs8coQBMFERylPk1s9A7PR7CrKPN2tHhK6xnA6Kb6+BRkhg9JRl4wsGEf7NM0pEn7TwLs4a66rVcDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3303d273b086893de4808eef553b31c15fb8bb49c847de48a9ef6edee0201091","last_reissued_at":"2026-05-17T23:48:22.534795Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:22.534795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.00261","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:48:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4efd1IpIrc5WqEls8WxpZBpSJJcAYlzgQYvYZDKc/7D5FAgEzoR4Gal1I/Z6M0bdSU3gANQXhyhe7oyBLML6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:33:58.201206Z"},"content_sha256":"b679be2e0b332163989652c3f1e6447cc02491fae401512429d69fe909538f9e","schema_version":"1.0","event_id":"sha256:b679be2e0b332163989652c3f1e6447cc02491fae401512429d69fe909538f9e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GMB5E45QQ2ET3ZEAR3XVKOZRYF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical Observability for Automata and Petri Nets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.FL"],"primary_cat":"cs.SY","authors_text":"Tom\\'a\\v{s} Masopust","submitted_at":"2018-08-01T10:53:34Z","abstract_excerpt":"Critical observability is a property of cyber-physical systems to detect whether the current state belongs to a set of critical states. In safety-critical applications, critical states model operations that may be unsafe or of a particular interest. De Santis et al. introduced critical observability for linear switching systems, and Pola et al. adapted it for discrete-event systems, focusing on algorithmic complexity. We study the computational complexity of deciding critical observability for systems modeled as (networks of) finite-state automata and Petri nets. We show that deciding critical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00261","kind":"arxiv","version":2},"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":"2026-05-17T23:48:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HVP0GutqShDt7kxDQ+X9My+AA3gOpo52NJMpTZtHWfuoEcrWhuqYnxu7ADRfyCeixUCc4+qpqsf+dcmX1M2yBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:33:58.201834Z"},"content_sha256":"f8e34e0fb8bef66469eacffcb743141c9ef5f50f4debf5ca7663b3bb09b6dc2b","schema_version":"1.0","event_id":"sha256:f8e34e0fb8bef66469eacffcb743141c9ef5f50f4debf5ca7663b3bb09b6dc2b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GMB5E45QQ2ET3ZEAR3XVKOZRYF/bundle.json","state_url":"https://pith.science/pith/GMB5E45QQ2ET3ZEAR3XVKOZRYF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GMB5E45QQ2ET3ZEAR3XVKOZRYF/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":"2026-05-26T16:33:58Z","links":{"resolver":"https://pith.science/pith/GMB5E45QQ2ET3ZEAR3XVKOZRYF","bundle":"https://pith.science/pith/GMB5E45QQ2ET3ZEAR3XVKOZRYF/bundle.json","state":"https://pith.science/pith/GMB5E45QQ2ET3ZEAR3XVKOZRYF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GMB5E45QQ2ET3ZEAR3XVKOZRYF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GMB5E45QQ2ET3ZEAR3XVKOZRYF","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":"d2d75c69fe58a96ed48ddc28325415d7e4fd70b4855c016c1485c643b7cb2a43","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-08-01T10:53:34Z","title_canon_sha256":"db81988d2b57721c78e8ade9b38f09301ec5aa7058765f444c351ea6de26f641"},"schema_version":"1.0","source":{"id":"1808.00261","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00261","created_at":"2026-05-17T23:48:22Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00261v2","created_at":"2026-05-17T23:48:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00261","created_at":"2026-05-17T23:48:22Z"},{"alias_kind":"pith_short_12","alias_value":"GMB5E45QQ2ET","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GMB5E45QQ2ET3ZEA","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GMB5E45Q","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:f8e34e0fb8bef66469eacffcb743141c9ef5f50f4debf5ca7663b3bb09b6dc2b","target":"graph","created_at":"2026-05-17T23:48:22Z","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":"Critical observability is a property of cyber-physical systems to detect whether the current state belongs to a set of critical states. In safety-critical applications, critical states model operations that may be unsafe or of a particular interest. De Santis et al. introduced critical observability for linear switching systems, and Pola et al. adapted it for discrete-event systems, focusing on algorithmic complexity. We study the computational complexity of deciding critical observability for systems modeled as (networks of) finite-state automata and Petri nets. We show that deciding critical","authors_text":"Tom\\'a\\v{s} Masopust","cross_cats":["cs.FL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-08-01T10:53:34Z","title":"Critical Observability for Automata and Petri Nets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00261","kind":"arxiv","version":2},"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:b679be2e0b332163989652c3f1e6447cc02491fae401512429d69fe909538f9e","target":"record","created_at":"2026-05-17T23:48:22Z","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":"d2d75c69fe58a96ed48ddc28325415d7e4fd70b4855c016c1485c643b7cb2a43","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-08-01T10:53:34Z","title_canon_sha256":"db81988d2b57721c78e8ade9b38f09301ec5aa7058765f444c351ea6de26f641"},"schema_version":"1.0","source":{"id":"1808.00261","kind":"arxiv","version":2}},"canonical_sha256":"3303d273b086893de4808eef553b31c15fb8bb49c847de48a9ef6edee0201091","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3303d273b086893de4808eef553b31c15fb8bb49c847de48a9ef6edee0201091","first_computed_at":"2026-05-17T23:48:22.534795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:22.534795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6Ki3nRuuTs8coQBMFERylPk1s9A7PR7CrKPN2tHhK6xnA6Kb6+BRkhg9JRl4wsGEf7NM0pEn7TwLs4a66rVcDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:22.535335Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.00261","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b679be2e0b332163989652c3f1e6447cc02491fae401512429d69fe909538f9e","sha256:f8e34e0fb8bef66469eacffcb743141c9ef5f50f4debf5ca7663b3bb09b6dc2b"],"state_sha256":"ed4bf5c1c1c18596968558253cae4ea72bb8a3d116ffbfbcb7f53a58c0844a2b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y9nnF9UhE1HSPJV/NNNqlvvM6+jgc1oZqEWOrIz7YmeRzyqbRUs9YwQ/zxGeExpZ4CaW4u5wfTIEAhwmZOILAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:33:58.205336Z","bundle_sha256":"6c7a81654e41ad6c07eb5e78494610f9139858a6059da1fea4f848d060439f97"}}