{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WRIJ6EIGE4C7NCUW5PFSQ7F26U","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":"1122fa888a65650e631a69f6bbde9b570583366380e09d2e19f1c23bd6f31342","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-06-27T22:33:48Z","title_canon_sha256":"451450435a3c83812ed14f8c36e43de9cd85c56b4138c83eec0ce55784598f8e"},"schema_version":"1.0","source":{"id":"1106.5536","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5536","created_at":"2026-05-18T02:01:30Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5536v2","created_at":"2026-05-18T02:01:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5536","created_at":"2026-05-18T02:01:30Z"},{"alias_kind":"pith_short_12","alias_value":"WRIJ6EIGE4C7","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WRIJ6EIGE4C7NCUW","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WRIJ6EIG","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:2347ced0c7519a52dfc5a3eab37dc4c2693e9262bb93aa79049e2fd65dfa40b4","target":"graph","created_at":"2026-05-18T02:01:30Z","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":"Understanding how and how far information, behaviors, or pathogens spread in social networks is an important problem, having implications for both predicting the size of epidemics, as well as for planning effective interventions. There are, however, two main challenges for inferring spreading paths in real-world networks. One is the practical difficulty of observing a dynamic process on a network, and the other is the typical constraint of only partially observing a network. Using a static, structurally realistic social network as a platform for simulations, we juxtapose three distinct paths: ","authors_text":"Jukka-Pekka Onnela, Nicholas A. Christakis","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-06-27T22:33:48Z","title":"Spreading paths in partially observed social networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5536","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:c9153812fb22cad7566d6dddf8dd7bf2fad01086419a6133b4ab9c60d0cd9bfe","target":"record","created_at":"2026-05-18T02:01:30Z","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":"1122fa888a65650e631a69f6bbde9b570583366380e09d2e19f1c23bd6f31342","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-06-27T22:33:48Z","title_canon_sha256":"451450435a3c83812ed14f8c36e43de9cd85c56b4138c83eec0ce55784598f8e"},"schema_version":"1.0","source":{"id":"1106.5536","kind":"arxiv","version":2}},"canonical_sha256":"b4509f11062705f68a96ebcb287cbaf501057c5e37021e8d7df6ddb5c13c2e81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4509f11062705f68a96ebcb287cbaf501057c5e37021e8d7df6ddb5c13c2e81","first_computed_at":"2026-05-18T02:01:30.071556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:30.071556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8uz+LAFXYWVrjL6ikDfmN8GYp5HlHx0cWXf+Lo3pwrqcrCx3mn5ASgu0HEJpT3vVFbvlY1kxNbEjGhWfzSq/Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:30.072105Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.5536","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9153812fb22cad7566d6dddf8dd7bf2fad01086419a6133b4ab9c60d0cd9bfe","sha256:2347ced0c7519a52dfc5a3eab37dc4c2693e9262bb93aa79049e2fd65dfa40b4"],"state_sha256":"1f20ef7e87d96476fc864d4d7e4c6858bf34da5624522d529abbe56db76ac04f"}