{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:OWR5EQLE5MCKY47Y4HSLW75G3L","short_pith_number":"pith:OWR5EQLE","canonical_record":{"source":{"id":"1701.02805","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-01-10T22:34:51Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a0ef19a8d209a5e3c677dbf9e5acfba8c1a97a3e334062180fa7dcb089daded1","abstract_canon_sha256":"cf48e87f0d9dbededed45947326db152505b62dab66bded68e0f0a63de335529"},"schema_version":"1.0"},"canonical_sha256":"75a3d24164eb04ac73f8e1e4bb7fa6daf6b9ebbd7a4a93b6c4a5fab4c2e9b813","source":{"kind":"arxiv","id":"1701.02805","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02805","created_at":"2026-05-18T00:47:48Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02805v1","created_at":"2026-05-18T00:47:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02805","created_at":"2026-05-18T00:47:48Z"},{"alias_kind":"pith_short_12","alias_value":"OWR5EQLE5MCK","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OWR5EQLE5MCKY47Y","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OWR5EQLE","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:OWR5EQLE5MCKY47Y4HSLW75G3L","target":"record","payload":{"canonical_record":{"source":{"id":"1701.02805","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-01-10T22:34:51Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a0ef19a8d209a5e3c677dbf9e5acfba8c1a97a3e334062180fa7dcb089daded1","abstract_canon_sha256":"cf48e87f0d9dbededed45947326db152505b62dab66bded68e0f0a63de335529"},"schema_version":"1.0"},"canonical_sha256":"75a3d24164eb04ac73f8e1e4bb7fa6daf6b9ebbd7a4a93b6c4a5fab4c2e9b813","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:48.514793Z","signature_b64":"bEZkmtk5paWUWQyUIzUaSYf8+EePdZcyl3r/fiTBwt63QUrXEwff4RYi/s86Sx4KZnSq+b+WyPB3ME6UglGNDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75a3d24164eb04ac73f8e1e4bb7fa6daf6b9ebbd7a4a93b6c4a5fab4c2e9b813","last_reissued_at":"2026-05-18T00:47:48.514157Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:48.514157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.02805","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":"2026-05-18T00:47:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"08ue02fKsTBjmvukOW5bXPL3VxW+c78BpF++9Z3JR5iN7HJ8Tiqv97pU2/9rk/avoh+6OQIh+Y1Aez0dTXl9AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:43:06.528404Z"},"content_sha256":"269bbba1b8996fdf4e58b25b02bc8dfc1e0acc97e4d72adb5ce50b4bbe0851d5","schema_version":"1.0","event_id":"sha256:269bbba1b8996fdf4e58b25b02bc8dfc1e0acc97e4d72adb5ce50b4bbe0851d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:OWR5EQLE5MCKY47Y4HSLW75G3L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equivalence between non-Markovian and Markovian dynamics in epidemic spreading processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.soc-ph","authors_text":"James P. Gleeson, Mari\\'an Bogu\\~n\\'a, Michele Starnini","submitted_at":"2017-01-10T22:34:51Z","abstract_excerpt":"A general formalism is introduced to allow the steady state of non-Markovian processes on networks to be reduced to equivalent Markovian processes on the same substrates. The example of an epidemic spreading process is considered in detail, where all the non-Markovian aspects are shown to be captured within a single parameter, the effective infection rate. Remarkably, this result is independent of the topology of the underlying network, as demonstrated by numerical simulations on two-dimensional lattices and various types of random networks. Furthermore, an analytic approximation for the effec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02805","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":"2026-05-18T00:47:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gdSP+U+aHx3Ipv2PqoanWRGrgqtz+m2OOKhb89kwaI22QERwXadvJ7np7E/+A7FX+AYEqqNe/hpc4hlPF8NfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:43:06.529102Z"},"content_sha256":"b3641fbde83794451282fa5308355ad1ab1e080d6b0a5eddef77f464e8a001b4","schema_version":"1.0","event_id":"sha256:b3641fbde83794451282fa5308355ad1ab1e080d6b0a5eddef77f464e8a001b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OWR5EQLE5MCKY47Y4HSLW75G3L/bundle.json","state_url":"https://pith.science/pith/OWR5EQLE5MCKY47Y4HSLW75G3L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OWR5EQLE5MCKY47Y4HSLW75G3L/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":"2026-05-25T18:43:06Z","links":{"resolver":"https://pith.science/pith/OWR5EQLE5MCKY47Y4HSLW75G3L","bundle":"https://pith.science/pith/OWR5EQLE5MCKY47Y4HSLW75G3L/bundle.json","state":"https://pith.science/pith/OWR5EQLE5MCKY47Y4HSLW75G3L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OWR5EQLE5MCKY47Y4HSLW75G3L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OWR5EQLE5MCKY47Y4HSLW75G3L","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":"cf48e87f0d9dbededed45947326db152505b62dab66bded68e0f0a63de335529","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-01-10T22:34:51Z","title_canon_sha256":"a0ef19a8d209a5e3c677dbf9e5acfba8c1a97a3e334062180fa7dcb089daded1"},"schema_version":"1.0","source":{"id":"1701.02805","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02805","created_at":"2026-05-18T00:47:48Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02805v1","created_at":"2026-05-18T00:47:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02805","created_at":"2026-05-18T00:47:48Z"},{"alias_kind":"pith_short_12","alias_value":"OWR5EQLE5MCK","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OWR5EQLE5MCKY47Y","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OWR5EQLE","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:b3641fbde83794451282fa5308355ad1ab1e080d6b0a5eddef77f464e8a001b4","target":"graph","created_at":"2026-05-18T00:47:48Z","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":"A general formalism is introduced to allow the steady state of non-Markovian processes on networks to be reduced to equivalent Markovian processes on the same substrates. The example of an epidemic spreading process is considered in detail, where all the non-Markovian aspects are shown to be captured within a single parameter, the effective infection rate. Remarkably, this result is independent of the topology of the underlying network, as demonstrated by numerical simulations on two-dimensional lattices and various types of random networks. Furthermore, an analytic approximation for the effec","authors_text":"James P. Gleeson, Mari\\'an Bogu\\~n\\'a, Michele Starnini","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-01-10T22:34:51Z","title":"Equivalence between non-Markovian and Markovian dynamics in epidemic spreading processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02805","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":"sha256:269bbba1b8996fdf4e58b25b02bc8dfc1e0acc97e4d72adb5ce50b4bbe0851d5","target":"record","created_at":"2026-05-18T00:47:48Z","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":"cf48e87f0d9dbededed45947326db152505b62dab66bded68e0f0a63de335529","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-01-10T22:34:51Z","title_canon_sha256":"a0ef19a8d209a5e3c677dbf9e5acfba8c1a97a3e334062180fa7dcb089daded1"},"schema_version":"1.0","source":{"id":"1701.02805","kind":"arxiv","version":1}},"canonical_sha256":"75a3d24164eb04ac73f8e1e4bb7fa6daf6b9ebbd7a4a93b6c4a5fab4c2e9b813","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75a3d24164eb04ac73f8e1e4bb7fa6daf6b9ebbd7a4a93b6c4a5fab4c2e9b813","first_computed_at":"2026-05-18T00:47:48.514157Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:48.514157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bEZkmtk5paWUWQyUIzUaSYf8+EePdZcyl3r/fiTBwt63QUrXEwff4RYi/s86Sx4KZnSq+b+WyPB3ME6UglGNDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:48.514793Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.02805","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:269bbba1b8996fdf4e58b25b02bc8dfc1e0acc97e4d72adb5ce50b4bbe0851d5","sha256:b3641fbde83794451282fa5308355ad1ab1e080d6b0a5eddef77f464e8a001b4"],"state_sha256":"1d028f5448b174bd1062733e0290ceee4036fed6e06829277ec433b19445eecd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7MU7HxXzbRTd+BmAnsIE0w1d7IFEuC2FM5c9nrpJuy4+N/l3F5LSHU++WDthKBM8HH43d2JYXceDmEeFbhjfBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:43:06.532970Z","bundle_sha256":"d4df1f702e59d3cdc228abd3d08f53d2c32cef71b00a4487da6ef581703563f5"}}