{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:IYALWF67FMBTP3JEAINZTXQMM7","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":"4fcdf12fc5254f2a2fdb49ee96f81f323a1f4b36957b4e3441cd2d7dfb8f4155","cross_cats_sorted":[],"license":"","primary_cat":"cs.LO","submitted_at":"2006-11-11T00:08:46Z","title_canon_sha256":"fa444499d4020ec436d623fcf5f8e6713f22f48e2f331c2c591d1f6513d9fc08"},"schema_version":"1.0","source":{"id":"cs/0611048","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0611048","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0611048v2","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0611048","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"IYALWF67FMBT","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"IYALWF67FMBTP3JE","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"IYALWF67","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:9a7f88043fa7aea394b6f3629e81a8cd0da8853c102524245be0f8367a8636a0","target":"graph","created_at":"2026-05-18T00:53:03Z","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 consider Dense-Timed Petri Nets (TPN), an extension of Petri nets in which each token is equipped with a real-valued clock and where the semantics is lazy (i.e., enabled transitions need not fire; time can pass and disable transitions). We consider the following verification problems for TPNs. (i) Zenoness: whether there exists a zeno-computation from a given marking, i.e., an infinite computation which takes only a finite amount of time. We show decidability of zenoness for TPNs, thus solving an open problem from [Escrig et al.]. Furthermore, the related question if there exist arbitrarily","authors_text":"Parosh Abdulla, Pritha Mahata, Richard Mayr","cross_cats":[],"headline":"","license":"","primary_cat":"cs.LO","submitted_at":"2006-11-11T00:08:46Z","title":"Dense-Timed Petri Nets: Checking Zenoness, Token liveness and Boundedness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0611048","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":"sha256:4d5c63defe1afa44e906536adab9d1435970d25d0106feb562e3634c2edb6ff7","target":"record","created_at":"2026-05-18T00:53:03Z","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":"4fcdf12fc5254f2a2fdb49ee96f81f323a1f4b36957b4e3441cd2d7dfb8f4155","cross_cats_sorted":[],"license":"","primary_cat":"cs.LO","submitted_at":"2006-11-11T00:08:46Z","title_canon_sha256":"fa444499d4020ec436d623fcf5f8e6713f22f48e2f331c2c591d1f6513d9fc08"},"schema_version":"1.0","source":{"id":"cs/0611048","kind":"arxiv","version":2}},"canonical_sha256":"4600bb17df2b0337ed24021b99de0c67f253d4fb4e046b2246cc3a795f520be8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4600bb17df2b0337ed24021b99de0c67f253d4fb4e046b2246cc3a795f520be8","first_computed_at":"2026-05-18T00:53:03.282379Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:03.282379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TwUmOWlwRS5lmbrV6gD8b6bKglfvzH1z6jE9iqpKKf0xUP+vLbxaqWsiSLBNIapKHoVGynJyrylZBttYP3jqAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:03.282930Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0611048","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d5c63defe1afa44e906536adab9d1435970d25d0106feb562e3634c2edb6ff7","sha256:9a7f88043fa7aea394b6f3629e81a8cd0da8853c102524245be0f8367a8636a0"],"state_sha256":"c968c73a684a4462b5167a1b3b5f37bfe5f651d203e72a30ed10af8b01f7a8bc"}