{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FMUXVJSWQ4KEDFPSXR7BLV6ILQ","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":"6cd9fcfe5e4e1ae7a9c746e45e2e96e7037f58fdbaae27520d615db25c4dfc7d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2013-03-13T21:47:25Z","title_canon_sha256":"22211f6cf907b3e8a43f3f8a893ec868c63658405d02e368c9f70e2ac0f9e87f"},"schema_version":"1.0","source":{"id":"1303.3868","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3868","created_at":"2026-05-18T03:30:25Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3868v2","created_at":"2026-05-18T03:30:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3868","created_at":"2026-05-18T03:30:25Z"},{"alias_kind":"pith_short_12","alias_value":"FMUXVJSWQ4KE","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FMUXVJSWQ4KEDFPS","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FMUXVJSW","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:805ec643f7ab20d8348c77a1e558875d73f3738e2dacfc376641b9a335da90fd","target":"graph","created_at":"2026-05-18T03:30:25Z","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":"Characterizing the spatial extent of epidemics at the outbreak stage is key to controlling the evolution of the disease. At the outbreak, the number of infected individuals is typically small, so that fluctuations around their average are important: then, it is commonly assumed that the susceptible-infected-recovered (SIR) mechanism can be described by a stochastic birth-death process of Galton-Watson type. The displacements of the infected individuals can be modelled by resorting to Brownian motion, which is applicable when long-range movements and complex network interactions can be safely n","authors_text":"Alberto Rosso, Andrea Zoia, Eric Dumonteil, Satya N. Majumdar","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2013-03-13T21:47:25Z","title":"Spatial extent of an outbreak in animal epidemics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3868","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:c8599d3f361d0274d59d0b0a9cb70e6cb95beb316f22ca1f4b8c358ad74432a9","target":"record","created_at":"2026-05-18T03:30:25Z","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":"6cd9fcfe5e4e1ae7a9c746e45e2e96e7037f58fdbaae27520d615db25c4dfc7d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2013-03-13T21:47:25Z","title_canon_sha256":"22211f6cf907b3e8a43f3f8a893ec868c63658405d02e368c9f70e2ac0f9e87f"},"schema_version":"1.0","source":{"id":"1303.3868","kind":"arxiv","version":2}},"canonical_sha256":"2b297aa65687144195f2bc7e15d7c85c2d54e3731ac640ab1fa31e0b2a1cc002","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b297aa65687144195f2bc7e15d7c85c2d54e3731ac640ab1fa31e0b2a1cc002","first_computed_at":"2026-05-18T03:30:25.057104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:25.057104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rz8jLIXqdWGOlJ/xQdJP9BXLymFWGrqO52wqmdPWjj2m+UlZm9c6ANGq0eSEA7Pq2N1wyTwR6ENPSW4MDQhDBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:25.057628Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.3868","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8599d3f361d0274d59d0b0a9cb70e6cb95beb316f22ca1f4b8c358ad74432a9","sha256:805ec643f7ab20d8348c77a1e558875d73f3738e2dacfc376641b9a335da90fd"],"state_sha256":"de51d83391cc978570501e2c8d9ded0867a3328114cfc406826118a81ec241f8"}