{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:PFKGRKADL6KH6A7CI5SMEUHTK6","short_pith_number":"pith:PFKGRKAD","canonical_record":{"source":{"id":"1509.08561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-09-29T02:10:30Z","cross_cats_sorted":["cs.PF","cs.SY"],"title_canon_sha256":"65086a1705cd48100d9ff6bc2bac07ca5d0c5a60806e5d932ec39ba26a181516","abstract_canon_sha256":"90f6371ce0b79ab27a4c5e3c9bee84f4581e527c831ef26bcd194093dcf469d1"},"schema_version":"1.0"},"canonical_sha256":"795468a8035f947f03e24764c250f35782cb5eaa6a113c0ba54cfc68967ad9fe","source":{"kind":"arxiv","id":"1509.08561","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08561","created_at":"2026-05-18T01:31:52Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08561v1","created_at":"2026-05-18T01:31:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08561","created_at":"2026-05-18T01:31:52Z"},{"alias_kind":"pith_short_12","alias_value":"PFKGRKADL6KH","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PFKGRKADL6KH6A7C","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PFKGRKAD","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:PFKGRKADL6KH6A7CI5SMEUHTK6","target":"record","payload":{"canonical_record":{"source":{"id":"1509.08561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-09-29T02:10:30Z","cross_cats_sorted":["cs.PF","cs.SY"],"title_canon_sha256":"65086a1705cd48100d9ff6bc2bac07ca5d0c5a60806e5d932ec39ba26a181516","abstract_canon_sha256":"90f6371ce0b79ab27a4c5e3c9bee84f4581e527c831ef26bcd194093dcf469d1"},"schema_version":"1.0"},"canonical_sha256":"795468a8035f947f03e24764c250f35782cb5eaa6a113c0ba54cfc68967ad9fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:52.291955Z","signature_b64":"wV5cM2uDNsWGioi9qAvOq9QrzXp4Mj+HBmdWrs+ieF6Qk9TsFeePqzUpWnwAwCC0OMBNu6DrZOOVzLhIEGFgAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"795468a8035f947f03e24764c250f35782cb5eaa6a113c0ba54cfc68967ad9fe","last_reissued_at":"2026-05-18T01:31:52.291364Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:52.291364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.08561","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":"2026-05-18T01:31:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OhPyyrAJUr6BYPY8154ObeXBXAa6bWjx8xz5yEy2kHaKX975iQZ14ML3oA2yG0orJJoNuYE0g/fi3v289IiOBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:13:03.592199Z"},"content_sha256":"ce67dddd29fd55dc52a9897b7baad813aa279168007a4205166293a2008cd6b6","schema_version":"1.0","event_id":"sha256:ce67dddd29fd55dc52a9897b7baad813aa279168007a4205166293a2008cd6b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:PFKGRKADL6KH6A7CI5SMEUHTK6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient Checking of Individual Rewards Properties in Markov Population Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PF","cs.SY"],"primary_cat":"cs.LO","authors_text":"Jane Hillston (University of Edinburgh), Luca Bortolussi (University of Trieste)","submitted_at":"2015-09-29T02:10:30Z","abstract_excerpt":"In recent years fluid approaches to the analysis of Markov populations models have been demonstrated to have great pragmatic value. Initially developed to estimate the behaviour of the system in terms of the expected values of population counts, the fluid approach has subsequently been extended to more sophisticated interrogations of models through its embedding within model checking procedures. In this paper we extend recent work on checking CSL properties of individual agents within a Markovian population model, to consider the checking of properties which incorporate rewards."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08561","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":"2026-05-18T01:31:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"91Z/Y8Ld2g1Xipi3fj3rMXr7cjmrxx42uiy+64jZnJ8/f6c8FpzHpdD7fXlUCXmiYRJH69H57JHlHF5boY5/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:13:03.592910Z"},"content_sha256":"7212b09b485ef41e071a692568d2c5746920c8b7086ed5af4b5a20ab58f11b8a","schema_version":"1.0","event_id":"sha256:7212b09b485ef41e071a692568d2c5746920c8b7086ed5af4b5a20ab58f11b8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PFKGRKADL6KH6A7CI5SMEUHTK6/bundle.json","state_url":"https://pith.science/pith/PFKGRKADL6KH6A7CI5SMEUHTK6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PFKGRKADL6KH6A7CI5SMEUHTK6/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":"2026-05-29T16:13:03Z","links":{"resolver":"https://pith.science/pith/PFKGRKADL6KH6A7CI5SMEUHTK6","bundle":"https://pith.science/pith/PFKGRKADL6KH6A7CI5SMEUHTK6/bundle.json","state":"https://pith.science/pith/PFKGRKADL6KH6A7CI5SMEUHTK6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PFKGRKADL6KH6A7CI5SMEUHTK6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PFKGRKADL6KH6A7CI5SMEUHTK6","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":"90f6371ce0b79ab27a4c5e3c9bee84f4581e527c831ef26bcd194093dcf469d1","cross_cats_sorted":["cs.PF","cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-09-29T02:10:30Z","title_canon_sha256":"65086a1705cd48100d9ff6bc2bac07ca5d0c5a60806e5d932ec39ba26a181516"},"schema_version":"1.0","source":{"id":"1509.08561","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08561","created_at":"2026-05-18T01:31:52Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08561v1","created_at":"2026-05-18T01:31:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08561","created_at":"2026-05-18T01:31:52Z"},{"alias_kind":"pith_short_12","alias_value":"PFKGRKADL6KH","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PFKGRKADL6KH6A7C","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PFKGRKAD","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:7212b09b485ef41e071a692568d2c5746920c8b7086ed5af4b5a20ab58f11b8a","target":"graph","created_at":"2026-05-18T01:31:52Z","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 recent years fluid approaches to the analysis of Markov populations models have been demonstrated to have great pragmatic value. Initially developed to estimate the behaviour of the system in terms of the expected values of population counts, the fluid approach has subsequently been extended to more sophisticated interrogations of models through its embedding within model checking procedures. In this paper we extend recent work on checking CSL properties of individual agents within a Markovian population model, to consider the checking of properties which incorporate rewards.","authors_text":"Jane Hillston (University of Edinburgh), Luca Bortolussi (University of Trieste)","cross_cats":["cs.PF","cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-09-29T02:10:30Z","title":"Efficient Checking of Individual Rewards Properties in Markov Population Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08561","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:ce67dddd29fd55dc52a9897b7baad813aa279168007a4205166293a2008cd6b6","target":"record","created_at":"2026-05-18T01:31:52Z","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":"90f6371ce0b79ab27a4c5e3c9bee84f4581e527c831ef26bcd194093dcf469d1","cross_cats_sorted":["cs.PF","cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-09-29T02:10:30Z","title_canon_sha256":"65086a1705cd48100d9ff6bc2bac07ca5d0c5a60806e5d932ec39ba26a181516"},"schema_version":"1.0","source":{"id":"1509.08561","kind":"arxiv","version":1}},"canonical_sha256":"795468a8035f947f03e24764c250f35782cb5eaa6a113c0ba54cfc68967ad9fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"795468a8035f947f03e24764c250f35782cb5eaa6a113c0ba54cfc68967ad9fe","first_computed_at":"2026-05-18T01:31:52.291364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:52.291364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wV5cM2uDNsWGioi9qAvOq9QrzXp4Mj+HBmdWrs+ieF6Qk9TsFeePqzUpWnwAwCC0OMBNu6DrZOOVzLhIEGFgAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:52.291955Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.08561","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce67dddd29fd55dc52a9897b7baad813aa279168007a4205166293a2008cd6b6","sha256:7212b09b485ef41e071a692568d2c5746920c8b7086ed5af4b5a20ab58f11b8a"],"state_sha256":"d6c3e5f740e0a36fafd2d1540e5f4c78d7dc168463a3f1261bfbdc2cfededbf8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f1e731dgfYvAKoAUvta+TpAOFVHOr5lfCG+P5MitJUqi1u9GBWmttPiS4N20T/A9CMIA4Y+VFqf+h0VB9JAOBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T16:13:03.596705Z","bundle_sha256":"78073b76a40ddb3d281bfb7521a3e1cc948915be6f1e3b982ac35f69491f609c"}}