{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DW3KUGSO3CDYGR2MGN7PVRLI67","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":"174c7e7008850089129ca6b2423604885aae3b37ef42792f6f64f51f4b55fcd5","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-11-12T06:34:20Z","title_canon_sha256":"1fe0c1eff13320943d8c8dcfefac7f41c1298e845095dc77e6f750daa3c01648"},"schema_version":"1.0","source":{"id":"1211.2519","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2519","created_at":"2026-05-18T01:53:16Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2519v1","created_at":"2026-05-18T01:53:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2519","created_at":"2026-05-18T01:53:16Z"},{"alias_kind":"pith_short_12","alias_value":"DW3KUGSO3CDY","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DW3KUGSO3CDYGR2M","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DW3KUGSO","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:eb4a7cc748adbb4a8604c1579156a7de249255f690f6b8614d8d042bf27f6b03","target":"graph","created_at":"2026-05-18T01:53:16Z","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":"We demonstrate that the susceptible-infected-susceptible (SIS) model on complex networks can have an inactive Griffiths phase characterized by a slow relaxation dynamics. It contrasts with the mean field theoretical prediction that the SIS model on complex networks is active at any nonzero infection rate. The dynamic fluctuation of infected nodes, ignored in the mean field approach, is responsible for the inactive phase. It is proposed that the question whether the epidemic threshold of the SIS model on complex networks is zero or not can be resolved by the percolation threshold in a model whe","authors_text":"Hyun Keun Lee, Jae Dong Noh, Pyoung-Seop Shim","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-11-12T06:34:20Z","title":"Epidemic Threshold of Susceptible-Infected-Susceptible Model on Complex Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2519","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:f1f2dca688be381148592ea4e1803d2211ea89adc01341ca2429eca653730342","target":"record","created_at":"2026-05-18T01:53:16Z","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":"174c7e7008850089129ca6b2423604885aae3b37ef42792f6f64f51f4b55fcd5","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-11-12T06:34:20Z","title_canon_sha256":"1fe0c1eff13320943d8c8dcfefac7f41c1298e845095dc77e6f750daa3c01648"},"schema_version":"1.0","source":{"id":"1211.2519","kind":"arxiv","version":1}},"canonical_sha256":"1db6aa1a4ed88783474c337efac568f7c2f077e6ce79b7c03e5a08ec9a29b68e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1db6aa1a4ed88783474c337efac568f7c2f077e6ce79b7c03e5a08ec9a29b68e","first_computed_at":"2026-05-18T01:53:16.889264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:16.889264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/3Lzw0BKL9oDxFPcaUo+objAAHe92bZK9JbLaPn2t4wK81XUVK6/E75Ltu+y/lyjeYOA4sqF8lMdX6VI4QU4DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:16.889908Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.2519","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1f2dca688be381148592ea4e1803d2211ea89adc01341ca2429eca653730342","sha256:eb4a7cc748adbb4a8604c1579156a7de249255f690f6b8614d8d042bf27f6b03"],"state_sha256":"51fd9edb43d55bdc370c99cedd50d3361fbcf12bf9e0afabc4db9963c8439630"}