{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5AS3NTSNGH7MWKGVBXSVLEGID2","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":"f7bab08c7a53b9c2cc3062a2a6c5cdfeaf75448a3c1aed46392b453f8bbde6b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-31T15:37:27Z","title_canon_sha256":"8bd6aa7200de7a2da93f510f63b58967bf76d6dc849ee301ee30b6e5eefa1dba"},"schema_version":"1.0","source":{"id":"1705.11150","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.11150","created_at":"2026-05-18T00:31:45Z"},{"alias_kind":"arxiv_version","alias_value":"1705.11150v2","created_at":"2026-05-18T00:31:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.11150","created_at":"2026-05-18T00:31:45Z"},{"alias_kind":"pith_short_12","alias_value":"5AS3NTSNGH7M","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5AS3NTSNGH7MWKGV","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5AS3NTSN","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:7deb95dafaa194d33c77afea3172973b84f3309f97f8febfcf33dba085e2d9e0","target":"graph","created_at":"2026-05-18T00:31:45Z","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":"In the present paper, we study the relation between criticality and information transmission in the one-dimensional contact process with infection parameter $\\lambda .$ To do this we define the {\\it sensitivity} of the process to its initial condition. This sensitivity increases for values of $\\lambda < \\lambda_c, $ the value of the critical parameter. The main point of the present paper is that we show that actually it continues increasing even after $ \\lambda_c $ and only starts decreasing for sufficiently large values of $\\lambda .$ This provides a counterexample to the common belief that a","authors_text":"Antonio Galves, Eva L\\\"ocherbach, Marzio Cassandro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-31T15:37:27Z","title":"Information transmission and criticality in the contact process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.11150","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":"sha256:9530b44cfc24f139a7897b55f442ae87c3a9b801bfebf9602d8d35ea5a23a1c7","target":"record","created_at":"2026-05-18T00:31:45Z","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":"f7bab08c7a53b9c2cc3062a2a6c5cdfeaf75448a3c1aed46392b453f8bbde6b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-31T15:37:27Z","title_canon_sha256":"8bd6aa7200de7a2da93f510f63b58967bf76d6dc849ee301ee30b6e5eefa1dba"},"schema_version":"1.0","source":{"id":"1705.11150","kind":"arxiv","version":2}},"canonical_sha256":"e825b6ce4d31fecb28d50de55590c81eafb1c577c7472f2c40b04f459914ed4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e825b6ce4d31fecb28d50de55590c81eafb1c577c7472f2c40b04f459914ed4c","first_computed_at":"2026-05-18T00:31:45.062497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:45.062497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5T7Muu60An1vuu/Ql+kVUJldkfbFT4AiR40T72Pm15lwjI3ajvgobdnBSNmb51UvCsjMLDMkCjsG3W8Fj+4NDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:45.063124Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.11150","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9530b44cfc24f139a7897b55f442ae87c3a9b801bfebf9602d8d35ea5a23a1c7","sha256:7deb95dafaa194d33c77afea3172973b84f3309f97f8febfcf33dba085e2d9e0"],"state_sha256":"d42599fd8c319e89ffec0e560dc65607f8fa986797f8c170de31912c5158a0d1"}