{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MTMFFPN5WAN6FSYHHXJZRKTR2I","short_pith_number":"pith:MTMFFPN5","canonical_record":{"source":{"id":"1704.01557","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-03-16T16:53:23Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"a96f87342cc26f5e0fcacfa8a3bb3158871dc01af112a738b64f7b9d4626fd42","abstract_canon_sha256":"086f6fb88acbc51d051cb3b87c3cbf7d0e932fbf343ea7b1c5cb11c3431a987d"},"schema_version":"1.0"},"canonical_sha256":"64d852bdbdb01be2cb073dd398aa71d20740848a6f7e33ad1de1d9b42f748cd8","source":{"kind":"arxiv","id":"1704.01557","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.01557","created_at":"2026-05-18T00:39:36Z"},{"alias_kind":"arxiv_version","alias_value":"1704.01557v2","created_at":"2026-05-18T00:39:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01557","created_at":"2026-05-18T00:39:36Z"},{"alias_kind":"pith_short_12","alias_value":"MTMFFPN5WAN6","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MTMFFPN5WAN6FSYH","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MTMFFPN5","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MTMFFPN5WAN6FSYHHXJZRKTR2I","target":"record","payload":{"canonical_record":{"source":{"id":"1704.01557","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-03-16T16:53:23Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"a96f87342cc26f5e0fcacfa8a3bb3158871dc01af112a738b64f7b9d4626fd42","abstract_canon_sha256":"086f6fb88acbc51d051cb3b87c3cbf7d0e932fbf343ea7b1c5cb11c3431a987d"},"schema_version":"1.0"},"canonical_sha256":"64d852bdbdb01be2cb073dd398aa71d20740848a6f7e33ad1de1d9b42f748cd8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:36.053281Z","signature_b64":"nkGPEi0GOPwGVKd6Nj1osg9HdNeUAh2X+0vTEDlnedFitn9JSZP38op1mq0exWL/mvSlQ+lD0k8wmxHQrzJjBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64d852bdbdb01be2cb073dd398aa71d20740848a6f7e33ad1de1d9b42f748cd8","last_reissued_at":"2026-05-18T00:39:36.052748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:36.052748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.01557","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:39:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4SLlW78q3unAy/ANDWTXO922icpSDptxTha6pbmHRYxIPKCUsg/vtuzaOF8WF4XaPHflfFXoj/Lhho4ieqbWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:29:16.459488Z"},"content_sha256":"cb2895a6f672916f7abc6e757d93c93e11eb39575b1e3949c5d31402428ef6a5","schema_version":"1.0","event_id":"sha256:cb2895a6f672916f7abc6e757d93c93e11eb39575b1e3949c5d31402428ef6a5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MTMFFPN5WAN6FSYHHXJZRKTR2I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimized Gillespie algorithms for the simulation of Markovian epidemic processes on large and heterogeneous networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"physics.soc-ph","authors_text":"Silvio C. Ferreira, Wesley Cota","submitted_at":"2017-03-16T16:53:23Z","abstract_excerpt":"Numerical simulation of continuous-time Markovian processes is an essential and widely applied tool in the investigation of epidemic spreading on complex networks. Due to the high heterogeneity of the connectivity structure through which epidemics is transmitted, efficient and accurate implementations of generic epidemic processes are not trivial and deviations from statistically exact prescriptions can lead to uncontrolled biases. Based on the Gillespie algorithm (GA), in which only steps that change the state are considered, we develop numerical recipes and describe their computer implementa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01557","kind":"arxiv","version":2},"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":"2026-05-18T00:39:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/A/vDcO0E29CxNBZUjyXF7iLRgO7EtFjhf8UtGBYRNbINhxvCmlEU7s9Rzzb1965ZezDHHvIFOSho0SiUX1IDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:29:16.459843Z"},"content_sha256":"aa2ac6ff4c5230927ab4152329ce9270ac514378489d9d2e6e9cd33c76509828","schema_version":"1.0","event_id":"sha256:aa2ac6ff4c5230927ab4152329ce9270ac514378489d9d2e6e9cd33c76509828"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MTMFFPN5WAN6FSYHHXJZRKTR2I/bundle.json","state_url":"https://pith.science/pith/MTMFFPN5WAN6FSYHHXJZRKTR2I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MTMFFPN5WAN6FSYHHXJZRKTR2I/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":"2026-06-22T09:29:16Z","links":{"resolver":"https://pith.science/pith/MTMFFPN5WAN6FSYHHXJZRKTR2I","bundle":"https://pith.science/pith/MTMFFPN5WAN6FSYHHXJZRKTR2I/bundle.json","state":"https://pith.science/pith/MTMFFPN5WAN6FSYHHXJZRKTR2I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MTMFFPN5WAN6FSYHHXJZRKTR2I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MTMFFPN5WAN6FSYHHXJZRKTR2I","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":"086f6fb88acbc51d051cb3b87c3cbf7d0e932fbf343ea7b1c5cb11c3431a987d","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-03-16T16:53:23Z","title_canon_sha256":"a96f87342cc26f5e0fcacfa8a3bb3158871dc01af112a738b64f7b9d4626fd42"},"schema_version":"1.0","source":{"id":"1704.01557","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.01557","created_at":"2026-05-18T00:39:36Z"},{"alias_kind":"arxiv_version","alias_value":"1704.01557v2","created_at":"2026-05-18T00:39:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01557","created_at":"2026-05-18T00:39:36Z"},{"alias_kind":"pith_short_12","alias_value":"MTMFFPN5WAN6","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MTMFFPN5WAN6FSYH","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MTMFFPN5","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:aa2ac6ff4c5230927ab4152329ce9270ac514378489d9d2e6e9cd33c76509828","target":"graph","created_at":"2026-05-18T00:39:36Z","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":"Numerical simulation of continuous-time Markovian processes is an essential and widely applied tool in the investigation of epidemic spreading on complex networks. Due to the high heterogeneity of the connectivity structure through which epidemics is transmitted, efficient and accurate implementations of generic epidemic processes are not trivial and deviations from statistically exact prescriptions can lead to uncontrolled biases. Based on the Gillespie algorithm (GA), in which only steps that change the state are considered, we develop numerical recipes and describe their computer implementa","authors_text":"Silvio C. Ferreira, Wesley Cota","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-03-16T16:53:23Z","title":"Optimized Gillespie algorithms for the simulation of Markovian epidemic processes on large and heterogeneous networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01557","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:cb2895a6f672916f7abc6e757d93c93e11eb39575b1e3949c5d31402428ef6a5","target":"record","created_at":"2026-05-18T00:39:36Z","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":"086f6fb88acbc51d051cb3b87c3cbf7d0e932fbf343ea7b1c5cb11c3431a987d","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-03-16T16:53:23Z","title_canon_sha256":"a96f87342cc26f5e0fcacfa8a3bb3158871dc01af112a738b64f7b9d4626fd42"},"schema_version":"1.0","source":{"id":"1704.01557","kind":"arxiv","version":2}},"canonical_sha256":"64d852bdbdb01be2cb073dd398aa71d20740848a6f7e33ad1de1d9b42f748cd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64d852bdbdb01be2cb073dd398aa71d20740848a6f7e33ad1de1d9b42f748cd8","first_computed_at":"2026-05-18T00:39:36.052748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:36.052748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nkGPEi0GOPwGVKd6Nj1osg9HdNeUAh2X+0vTEDlnedFitn9JSZP38op1mq0exWL/mvSlQ+lD0k8wmxHQrzJjBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:36.053281Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.01557","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb2895a6f672916f7abc6e757d93c93e11eb39575b1e3949c5d31402428ef6a5","sha256:aa2ac6ff4c5230927ab4152329ce9270ac514378489d9d2e6e9cd33c76509828"],"state_sha256":"8df9ca14bdf6f888710f711ad65ed3cf4219e83c76d18e57394aefe9d0e1da14"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wCeWSoOOD6RyHcVqejWrPDYkzwnA4E0iG/5T1tbxsViVpf1yjU89uFcc8LgxVKyDasgk2TNWRAbCRG7LFPasCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T09:29:16.461860Z","bundle_sha256":"c051597ad9c78c3170bbcfd8f645a42efce595779663ace24a6018a02ca9d5a2"}}