{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:NS6QGEB3ONNYEC3ZM4USU43CM3","short_pith_number":"pith:NS6QGEB3","schema_version":"1.0","canonical_sha256":"6cbd03103b735b820b7967292a736266c3203586e543b4841a5940c095b21f9f","source":{"kind":"arxiv","id":"1508.00683","version":1},"attestation_state":"computed","paper":{"title":"Interval Predictability in Discrete Event Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Alban Grastien","submitted_at":"2015-08-04T07:19:58Z","abstract_excerpt":"In this paper we study the problem of predictability in partially observable discrete event systems, i.e., the question whether an observer can predict the occurrence of a fault. We extend the definition of predictability to consider the time interval where the fault will occur: the $(i,j)$-predictability does not only specify that the fault will be predicted before it occurs, but also that the predictor will be able to predict that its occurrence will occur in $i$ to $j$ observations from now. We also provide a quadratic algorithm that decides predictability of the system."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1508.00683","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-08-04T07:19:58Z","cross_cats_sorted":[],"title_canon_sha256":"9023ed1912bfa5d78f3f5b7af549491994cc002e42ffb00f3a2425e53cf66e7a","abstract_canon_sha256":"64ee2c6003737a9b7bf0fbc151ef6e8ddeeb013aa6274f9cd96ec4caa72fbc64"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:53.688215Z","signature_b64":"9hDM1VeJdLVxH7cI02iDvxQmlBpcFm/6Cpbao80L8cOfsTRvwVsmQMhsKp9kimZqjexX3NbndNV4T0OULEIPBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cbd03103b735b820b7967292a736266c3203586e543b4841a5940c095b21f9f","last_reissued_at":"2026-05-18T01:35:53.687549Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:53.687549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interval Predictability in Discrete Event Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Alban Grastien","submitted_at":"2015-08-04T07:19:58Z","abstract_excerpt":"In this paper we study the problem of predictability in partially observable discrete event systems, i.e., the question whether an observer can predict the occurrence of a fault. We extend the definition of predictability to consider the time interval where the fault will occur: the $(i,j)$-predictability does not only specify that the fault will be predicted before it occurs, but also that the predictor will be able to predict that its occurrence will occur in $i$ to $j$ observations from now. We also provide a quadratic algorithm that decides predictability of the system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00683","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1508.00683","created_at":"2026-05-18T01:35:53.687644+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.00683v1","created_at":"2026-05-18T01:35:53.687644+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00683","created_at":"2026-05-18T01:35:53.687644+00:00"},{"alias_kind":"pith_short_12","alias_value":"NS6QGEB3ONNY","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"NS6QGEB3ONNYEC3Z","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"NS6QGEB3","created_at":"2026-05-18T12:29:34.919912+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NS6QGEB3ONNYEC3ZM4USU43CM3","json":"https://pith.science/pith/NS6QGEB3ONNYEC3ZM4USU43CM3.json","graph_json":"https://pith.science/api/pith-number/NS6QGEB3ONNYEC3ZM4USU43CM3/graph.json","events_json":"https://pith.science/api/pith-number/NS6QGEB3ONNYEC3ZM4USU43CM3/events.json","paper":"https://pith.science/paper/NS6QGEB3"},"agent_actions":{"view_html":"https://pith.science/pith/NS6QGEB3ONNYEC3ZM4USU43CM3","download_json":"https://pith.science/pith/NS6QGEB3ONNYEC3ZM4USU43CM3.json","view_paper":"https://pith.science/paper/NS6QGEB3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.00683&json=true","fetch_graph":"https://pith.science/api/pith-number/NS6QGEB3ONNYEC3ZM4USU43CM3/graph.json","fetch_events":"https://pith.science/api/pith-number/NS6QGEB3ONNYEC3ZM4USU43CM3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NS6QGEB3ONNYEC3ZM4USU43CM3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NS6QGEB3ONNYEC3ZM4USU43CM3/action/storage_attestation","attest_author":"https://pith.science/pith/NS6QGEB3ONNYEC3ZM4USU43CM3/action/author_attestation","sign_citation":"https://pith.science/pith/NS6QGEB3ONNYEC3ZM4USU43CM3/action/citation_signature","submit_replication":"https://pith.science/pith/NS6QGEB3ONNYEC3ZM4USU43CM3/action/replication_record"}},"created_at":"2026-05-18T01:35:53.687644+00:00","updated_at":"2026-05-18T01:35:53.687644+00:00"}