{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FG2HQUW6NCRPJAVPXANID7KWF3","short_pith_number":"pith:FG2HQUW6","canonical_record":{"source":{"id":"1511.00346","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-11-02T00:53:41Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"c9bc66c1da145b0edb4fca5f83f0433432749889a98d0f21c325153e4f1bdca9","abstract_canon_sha256":"41f07fe1e07ad64434df381af4e7cbb89d45d6279e82b6eeb2f560f49cd59966"},"schema_version":"1.0"},"canonical_sha256":"29b47852de68a2f482afb81a81fd562eca3a8853798c911fefcca36e888b1faf","source":{"kind":"arxiv","id":"1511.00346","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00346","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00346v3","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00346","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"pith_short_12","alias_value":"FG2HQUW6NCRP","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FG2HQUW6NCRPJAVP","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FG2HQUW6","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FG2HQUW6NCRPJAVPXANID7KWF3","target":"record","payload":{"canonical_record":{"source":{"id":"1511.00346","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-11-02T00:53:41Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"c9bc66c1da145b0edb4fca5f83f0433432749889a98d0f21c325153e4f1bdca9","abstract_canon_sha256":"41f07fe1e07ad64434df381af4e7cbb89d45d6279e82b6eeb2f560f49cd59966"},"schema_version":"1.0"},"canonical_sha256":"29b47852de68a2f482afb81a81fd562eca3a8853798c911fefcca36e888b1faf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:07.937527Z","signature_b64":"nervk/TIYNAlfVAs3A892n0y23mLFcIQh4v7hnbHaCbpDbbmwmkCRK6WZ50TlANBgj0O/tQDmC7WSPbF9b66Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29b47852de68a2f482afb81a81fd562eca3a8853798c911fefcca36e888b1faf","last_reissued_at":"2026-05-18T01:23:07.937032Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:07.937032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.00346","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1MnBOjsbx8ZSpUKhm0kxDnYyUYqdEJqcSgY9N0Z0Ze5bbrgaj9EahdkDqeIBjiO2ksqtYV3sL6d5vH+WteTGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:17:20.533933Z"},"content_sha256":"5da6f1a97d35cc65b3985208f6c04f5b280009588ae17dcfad2248149cbf946b","schema_version":"1.0","event_id":"sha256:5da6f1a97d35cc65b3985208f6c04f5b280009588ae17dcfad2248149cbf946b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FG2HQUW6NCRPJAVPXANID7KWF3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lattice-Theoretic Progress Measures and Coalgebraic Model Checking (with Appendices)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PL"],"primary_cat":"cs.LO","authors_text":"Corina Cirstea, Ichiro Hasuo, Shunsuke Shimizu","submitted_at":"2015-11-02T00:53:41Z","abstract_excerpt":"In the context of formal verification in general and model checking in particular, parity games serve as a mighty vehicle: many problems are encoded as parity games, which are then solved by the seminal algorithm by Jurdzinski. In this paper we identify the essence of this workflow to be the notion of progress measure, and formalize it in general, possibly infinitary, lattice-theoretic terms. Our view on progress measures is that they are to nested/alternating fixed points what invariants are to safety/greatest fixed points, and what ranking functions are to liveness/least fixed points. That i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00346","kind":"arxiv","version":3},"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":"2026-05-18T01:23:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tk6aSU7a5t4sp3nCh6E2W7DnT/ofOvGzipaZkIGDaNRS/EqV5QtEwCed3p9Ua5beZUUYZQnAvcXOkb7VEuQkDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:17:20.534583Z"},"content_sha256":"d94a08da4a02a9b60b13927680ac82d36779476ccbffdb60b5c7ceec0289b330","schema_version":"1.0","event_id":"sha256:d94a08da4a02a9b60b13927680ac82d36779476ccbffdb60b5c7ceec0289b330"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FG2HQUW6NCRPJAVPXANID7KWF3/bundle.json","state_url":"https://pith.science/pith/FG2HQUW6NCRPJAVPXANID7KWF3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FG2HQUW6NCRPJAVPXANID7KWF3/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":"2026-05-31T20:17:20Z","links":{"resolver":"https://pith.science/pith/FG2HQUW6NCRPJAVPXANID7KWF3","bundle":"https://pith.science/pith/FG2HQUW6NCRPJAVPXANID7KWF3/bundle.json","state":"https://pith.science/pith/FG2HQUW6NCRPJAVPXANID7KWF3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FG2HQUW6NCRPJAVPXANID7KWF3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FG2HQUW6NCRPJAVPXANID7KWF3","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":"41f07fe1e07ad64434df381af4e7cbb89d45d6279e82b6eeb2f560f49cd59966","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-11-02T00:53:41Z","title_canon_sha256":"c9bc66c1da145b0edb4fca5f83f0433432749889a98d0f21c325153e4f1bdca9"},"schema_version":"1.0","source":{"id":"1511.00346","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00346","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00346v3","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00346","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"pith_short_12","alias_value":"FG2HQUW6NCRP","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FG2HQUW6NCRPJAVP","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FG2HQUW6","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:d94a08da4a02a9b60b13927680ac82d36779476ccbffdb60b5c7ceec0289b330","target":"graph","created_at":"2026-05-18T01:23:07Z","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":"In the context of formal verification in general and model checking in particular, parity games serve as a mighty vehicle: many problems are encoded as parity games, which are then solved by the seminal algorithm by Jurdzinski. In this paper we identify the essence of this workflow to be the notion of progress measure, and formalize it in general, possibly infinitary, lattice-theoretic terms. Our view on progress measures is that they are to nested/alternating fixed points what invariants are to safety/greatest fixed points, and what ranking functions are to liveness/least fixed points. That i","authors_text":"Corina Cirstea, Ichiro Hasuo, Shunsuke Shimizu","cross_cats":["cs.PL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-11-02T00:53:41Z","title":"Lattice-Theoretic Progress Measures and Coalgebraic Model Checking (with Appendices)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00346","kind":"arxiv","version":3},"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":"sha256:5da6f1a97d35cc65b3985208f6c04f5b280009588ae17dcfad2248149cbf946b","target":"record","created_at":"2026-05-18T01:23:07Z","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":"41f07fe1e07ad64434df381af4e7cbb89d45d6279e82b6eeb2f560f49cd59966","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-11-02T00:53:41Z","title_canon_sha256":"c9bc66c1da145b0edb4fca5f83f0433432749889a98d0f21c325153e4f1bdca9"},"schema_version":"1.0","source":{"id":"1511.00346","kind":"arxiv","version":3}},"canonical_sha256":"29b47852de68a2f482afb81a81fd562eca3a8853798c911fefcca36e888b1faf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29b47852de68a2f482afb81a81fd562eca3a8853798c911fefcca36e888b1faf","first_computed_at":"2026-05-18T01:23:07.937032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:07.937032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nervk/TIYNAlfVAs3A892n0y23mLFcIQh4v7hnbHaCbpDbbmwmkCRK6WZ50TlANBgj0O/tQDmC7WSPbF9b66Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:07.937527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.00346","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5da6f1a97d35cc65b3985208f6c04f5b280009588ae17dcfad2248149cbf946b","sha256:d94a08da4a02a9b60b13927680ac82d36779476ccbffdb60b5c7ceec0289b330"],"state_sha256":"c0e5a74684c4fbfa167c748e5733d00810ce3d4708f35896a66caa431eac896a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"92tDJFnG7EZmEJDB6ahHxKUZ2bPGOAikenp2aqdpjePtoq+AwDgrwkl7gGmeg6zenAiqBAoNdW30q4cc4PH7Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:17:20.537877Z","bundle_sha256":"144098ae439c71cbcdd6b7cdd0e91db34b0d8d1c7153e94abdc05d68aa0b0192"}}