{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MV6SQWENAMZVQ6UHMYDS6EMDIN","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":"a42712e9dc81818d45443dc0dfbdf4911663905286e3e644eee3a93037aafd7d","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-30T10:29:26Z","title_canon_sha256":"d4fd9c92d8e047c057fc01c4fdc86ea2cdfd62498a7131e63c71f32f4c0fa9b9"},"schema_version":"1.0","source":{"id":"1412.0205","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0205","created_at":"2026-05-18T02:32:28Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0205v1","created_at":"2026-05-18T02:32:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0205","created_at":"2026-05-18T02:32:28Z"},{"alias_kind":"pith_short_12","alias_value":"MV6SQWENAMZV","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MV6SQWENAMZVQ6UH","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MV6SQWEN","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:adf969b2c79eebfe9b064b4664dd220b1f6aaf7db38685e445b9273ba11e89c0","target":"graph","created_at":"2026-05-18T02:32:28Z","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 consider the evolution of correlation functions in a non-Markov version of the contact model in the continuum. The memory effects are introduced by assuming the fractional evolution equation for the statistical dynamics. This leads to a behavior of time-dependent correlation functions, essentially different from the one known for the standard contact model.","authors_text":"Anatoly N. Kochubei, Yuri G. Kondratiev","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-30T10:29:26Z","title":"Fractional contact model in the continuum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0205","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:d946ec7f2d5ee56eeb8e110eca7d29fe3fec40ecd5862471de1a2b82d11f97c0","target":"record","created_at":"2026-05-18T02:32:28Z","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":"a42712e9dc81818d45443dc0dfbdf4911663905286e3e644eee3a93037aafd7d","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-30T10:29:26Z","title_canon_sha256":"d4fd9c92d8e047c057fc01c4fdc86ea2cdfd62498a7131e63c71f32f4c0fa9b9"},"schema_version":"1.0","source":{"id":"1412.0205","kind":"arxiv","version":1}},"canonical_sha256":"657d28588d0333587a8766072f1183434b8c4df7ecf364297eb3897d5933e6fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"657d28588d0333587a8766072f1183434b8c4df7ecf364297eb3897d5933e6fd","first_computed_at":"2026-05-18T02:32:28.258377Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:28.258377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IbYr2JXYqtoaNXZLK8whPZDpptznOOZ4UHnMWlcUhQTzurGSpYve9h8DzIUHeR8GR47bZ98BbAHs2g0eUxa8Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:28.258740Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0205","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d946ec7f2d5ee56eeb8e110eca7d29fe3fec40ecd5862471de1a2b82d11f97c0","sha256:adf969b2c79eebfe9b064b4664dd220b1f6aaf7db38685e445b9273ba11e89c0"],"state_sha256":"62ee2dfb4e08c60fa4d716072094af06b7aa4ab0b287a689740c155487272aa0"}