{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:4NSN5LHTIT27HKGC3VQCHPYDNZ","short_pith_number":"pith:4NSN5LHT","canonical_record":{"source":{"id":"1011.2314","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-11-10T08:43:05Z","cross_cats_sorted":["cs.DM","cs.FL"],"title_canon_sha256":"a4db3f991b3e27c8c5d285e6aabbe36e42aaf36926b6486e7821f77417b0af36","abstract_canon_sha256":"d16856d074d0df40352512089153feebb61d304ff6a9bff51ef144226a378405"},"schema_version":"1.0"},"canonical_sha256":"e364deacf344f5f3a8c2dd6023bf036e78ffd0547b39073d800e171cb355d23a","source":{"kind":"arxiv","id":"1011.2314","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2314","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2314v1","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2314","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"pith_short_12","alias_value":"4NSN5LHTIT27","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4NSN5LHTIT27HKGC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4NSN5LHT","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:4NSN5LHTIT27HKGC3VQCHPYDNZ","target":"record","payload":{"canonical_record":{"source":{"id":"1011.2314","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-11-10T08:43:05Z","cross_cats_sorted":["cs.DM","cs.FL"],"title_canon_sha256":"a4db3f991b3e27c8c5d285e6aabbe36e42aaf36926b6486e7821f77417b0af36","abstract_canon_sha256":"d16856d074d0df40352512089153feebb61d304ff6a9bff51ef144226a378405"},"schema_version":"1.0"},"canonical_sha256":"e364deacf344f5f3a8c2dd6023bf036e78ffd0547b39073d800e171cb355d23a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:30.595459Z","signature_b64":"gOoHoKnpPJw4M3/iJJ8fJK4qxJq8VIY4CQ3gIB7BW0OjK2cXav5nrWPVajeyLeofHolKG597+DQHUdc1/TtXCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e364deacf344f5f3a8c2dd6023bf036e78ffd0547b39073d800e171cb355d23a","last_reissued_at":"2026-05-18T04:36:30.595027Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:30.595027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.2314","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":"2026-05-18T04:36:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tr+PG9HjuAK6wPHVPp95qFVfbNqrL8FoyT0IUVk9D9DTpO9XJRz9UirkOa+bjyV2UsXa16MtKRUnbV4QLx/SDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T13:57:55.292926Z"},"content_sha256":"44d0ede5d1e5ada7791e0f9bcbed4c1ae6bbe197009e5bbb20f5020fdf4e5858","schema_version":"1.0","event_id":"sha256:44d0ede5d1e5ada7791e0f9bcbed4c1ae6bbe197009e5bbb20f5020fdf4e5858"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:4NSN5LHTIT27HKGC3VQCHPYDNZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Confluence Reduction for Probabilistic Systems (extended version)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","cs.FL"],"primary_cat":"cs.LO","authors_text":"Jaco van de Pol, Mari\\\"elle Stoelinga, Mark Timmer","submitted_at":"2010-11-10T08:43:05Z","abstract_excerpt":"This paper presents a novel technique for state space reduction of probabilistic specifications, based on a newly developed notion of confluence for probabilistic automata. We prove that this reduction preserves branching probabilistic bisimulation and can be applied on-the-fly. To support the technique, we introduce a method for detecting confluent transitions in the context of a probabilistic process algebra with data, facilitated by an earlier defined linear format. A case study demonstrates that significant reductions can be obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2314","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":"2026-05-18T04:36:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lO0OGTA92Sx3vyMQMxQZoiFGWJnAvI6SsmufLbjnvJUfA9V819e4m7WwxlyQ0XDwr8V8/I39Gr9lmcnODEIwDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T13:57:55.293265Z"},"content_sha256":"432f8f0739e3914fbacdd5c3408b0a00b71fca3e961815bd11121d96d19a0b51","schema_version":"1.0","event_id":"sha256:432f8f0739e3914fbacdd5c3408b0a00b71fca3e961815bd11121d96d19a0b51"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4NSN5LHTIT27HKGC3VQCHPYDNZ/bundle.json","state_url":"https://pith.science/pith/4NSN5LHTIT27HKGC3VQCHPYDNZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4NSN5LHTIT27HKGC3VQCHPYDNZ/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":"2026-06-27T13:57:55Z","links":{"resolver":"https://pith.science/pith/4NSN5LHTIT27HKGC3VQCHPYDNZ","bundle":"https://pith.science/pith/4NSN5LHTIT27HKGC3VQCHPYDNZ/bundle.json","state":"https://pith.science/pith/4NSN5LHTIT27HKGC3VQCHPYDNZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4NSN5LHTIT27HKGC3VQCHPYDNZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4NSN5LHTIT27HKGC3VQCHPYDNZ","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":"d16856d074d0df40352512089153feebb61d304ff6a9bff51ef144226a378405","cross_cats_sorted":["cs.DM","cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-11-10T08:43:05Z","title_canon_sha256":"a4db3f991b3e27c8c5d285e6aabbe36e42aaf36926b6486e7821f77417b0af36"},"schema_version":"1.0","source":{"id":"1011.2314","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2314","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2314v1","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2314","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"pith_short_12","alias_value":"4NSN5LHTIT27","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4NSN5LHTIT27HKGC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4NSN5LHT","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:432f8f0739e3914fbacdd5c3408b0a00b71fca3e961815bd11121d96d19a0b51","target":"graph","created_at":"2026-05-18T04:36:30Z","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":"This paper presents a novel technique for state space reduction of probabilistic specifications, based on a newly developed notion of confluence for probabilistic automata. We prove that this reduction preserves branching probabilistic bisimulation and can be applied on-the-fly. To support the technique, we introduce a method for detecting confluent transitions in the context of a probabilistic process algebra with data, facilitated by an earlier defined linear format. A case study demonstrates that significant reductions can be obtained.","authors_text":"Jaco van de Pol, Mari\\\"elle Stoelinga, Mark Timmer","cross_cats":["cs.DM","cs.FL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-11-10T08:43:05Z","title":"Confluence Reduction for Probabilistic Systems (extended version)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2314","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":"sha256:44d0ede5d1e5ada7791e0f9bcbed4c1ae6bbe197009e5bbb20f5020fdf4e5858","target":"record","created_at":"2026-05-18T04:36:30Z","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":"d16856d074d0df40352512089153feebb61d304ff6a9bff51ef144226a378405","cross_cats_sorted":["cs.DM","cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-11-10T08:43:05Z","title_canon_sha256":"a4db3f991b3e27c8c5d285e6aabbe36e42aaf36926b6486e7821f77417b0af36"},"schema_version":"1.0","source":{"id":"1011.2314","kind":"arxiv","version":1}},"canonical_sha256":"e364deacf344f5f3a8c2dd6023bf036e78ffd0547b39073d800e171cb355d23a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e364deacf344f5f3a8c2dd6023bf036e78ffd0547b39073d800e171cb355d23a","first_computed_at":"2026-05-18T04:36:30.595027Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:30.595027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gOoHoKnpPJw4M3/iJJ8fJK4qxJq8VIY4CQ3gIB7BW0OjK2cXav5nrWPVajeyLeofHolKG597+DQHUdc1/TtXCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:30.595459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.2314","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44d0ede5d1e5ada7791e0f9bcbed4c1ae6bbe197009e5bbb20f5020fdf4e5858","sha256:432f8f0739e3914fbacdd5c3408b0a00b71fca3e961815bd11121d96d19a0b51"],"state_sha256":"060f1880de14fcf134666e82af14d50c90f2d29b4a85c25767e645be60743679"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"43abcLse/oXsKJ4QDJfJv41pQSXQrtGR1qNFPAFADz6tWAau48oA3IvYe2dLoHG0+wdJcb9J2+z2AdUroHEZCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T13:57:55.295137Z","bundle_sha256":"55bd605642770a1619468e20505ab98b93e96a6131dff04ff2e3835084c8aaa0"}}