{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:2REUDUGR5UGHROZXXE6TIE673P","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":"e1fbc448f2e9f4eea462a62880f5caddc36f5827faa9aab95234a5c13f1262b6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-07-05T17:10:22Z","title_canon_sha256":"847ee58179ae582e497df0ab5f1bff43a7e521120d98797d1b5e46730ca4696c"},"schema_version":"1.0","source":{"id":"2407.04654","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.04654","created_at":"2026-07-05T09:07:49Z"},{"alias_kind":"arxiv_version","alias_value":"2407.04654v2","created_at":"2026-07-05T09:07:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.04654","created_at":"2026-07-05T09:07:49Z"},{"alias_kind":"pith_short_12","alias_value":"2REUDUGR5UGH","created_at":"2026-07-05T09:07:49Z"},{"alias_kind":"pith_short_16","alias_value":"2REUDUGR5UGHROZX","created_at":"2026-07-05T09:07:49Z"},{"alias_kind":"pith_short_8","alias_value":"2REUDUGR","created_at":"2026-07-05T09:07:49Z"}],"graph_snapshots":[{"event_id":"sha256:c94427f53fa9de3329b7c7e18e9b07bc537ce91ac9a2c072fc47c22e65cae166","target":"graph","created_at":"2026-07-05T09:07:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.04654/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the contact process on scale-free networks evolving by a stationary dynamics whereby each vertex independently updates its connections with a rate depending on its power. This rate can be slowed down or speeded up by virtue of decreasing or increasing a parameter $\\eta$, with $\\eta\\downarrow-\\infty$ approaching the static and $\\eta\\uparrow\\infty$ the mean-field case. We identify the regimes of slow, fast and ultra-fast extinction of the contact process. Slow extinction occurs in the form of metastability, when the contact process maintains a certain density of infected states fo","authors_text":"Amitai Linker, Emmanuel Jacob, Peter M\\\"orters","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-07-05T17:10:22Z","title":"Metastability of the contact process on slowly evolving scale-free networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.04654","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":"sha256:017f58aab416f3168c494c8ffe9cd8cbf3196268e225c67cfda4a2e0ebe89060","target":"record","created_at":"2026-07-05T09:07:49Z","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":"e1fbc448f2e9f4eea462a62880f5caddc36f5827faa9aab95234a5c13f1262b6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-07-05T17:10:22Z","title_canon_sha256":"847ee58179ae582e497df0ab5f1bff43a7e521120d98797d1b5e46730ca4696c"},"schema_version":"1.0","source":{"id":"2407.04654","kind":"arxiv","version":2}},"canonical_sha256":"d44941d0d1ed0c78bb37b93d3413dfdbc6db492191fffa9c5d1dfed2a1a446d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d44941d0d1ed0c78bb37b93d3413dfdbc6db492191fffa9c5d1dfed2a1a446d5","first_computed_at":"2026-07-05T09:07:49.621824Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:07:49.621824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RbPn+DUWqNZZp25vcmfaVv4IkjNb0O37IA+MxiBqrTRuBfcvgqlLPP+dm1jaPMaFla4pdWCAh2MgE9ziYO/8Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:07:49.622345Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.04654","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:017f58aab416f3168c494c8ffe9cd8cbf3196268e225c67cfda4a2e0ebe89060","sha256:c94427f53fa9de3329b7c7e18e9b07bc537ce91ac9a2c072fc47c22e65cae166"],"state_sha256":"875f2e759bd5a415bcc78659ac7af35af3ce77f606f9cff700d973e901446592"}