{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PQMQ3FOVMJCGKQ5R2EOAWT5KLQ","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":"abaf3d6196085d14a9b5fb9aa3759417d04d339cbce7153641399e2b07c2ef4d","cross_cats_sorted":["q-bio.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-06-13T06:38:17Z","title_canon_sha256":"36a728c0cea68bdf74294f7626c3c22bbf1eb450715778aa27547ff2834aa8fa"},"schema_version":"1.0","source":{"id":"1406.3432","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3432","created_at":"2026-05-18T02:19:59Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3432v2","created_at":"2026-05-18T02:19:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3432","created_at":"2026-05-18T02:19:59Z"},{"alias_kind":"pith_short_12","alias_value":"PQMQ3FOVMJCG","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PQMQ3FOVMJCGKQ5R","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PQMQ3FOV","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:d2cf9659833a45d70024abba658895137c9b41821efbf84f882cbd92ac9ffc6a","target":"graph","created_at":"2026-05-18T02:19:59Z","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":"The currently existing theory of fluorescence correlation spectroscopy(FCS) is based on the linear fluctuation theory originally developed by Einstein, Onsager, Lax, and others as a phenomenological approach to equilibrium fluctuations in bulk solutions. For mesoscopic reaction-diffusion systems with nonlinear chemical reactions among a small number of molecules, a situation often encountered in single-cell biochemistry, it is expected that FCS time correlation functions of a reaction-diffusion system can deviate from the classic results of Elson and Magde. We first discuss this nonlinear effe","authors_text":"Guang Lin, Hong Qian, Mauricio J. Del Razo, Wenxiao Pan","cross_cats":["q-bio.SC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-06-13T06:38:17Z","title":"Fluorescence Correlation Spectroscopy and Nonlinear Stochastic Reaction-Diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3432","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":"sha256:9aa5402a4779852a4e5938e885697d81d69b925b523a9deb1d9bf4d9dbecc476","target":"record","created_at":"2026-05-18T02:19:59Z","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":"abaf3d6196085d14a9b5fb9aa3759417d04d339cbce7153641399e2b07c2ef4d","cross_cats_sorted":["q-bio.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-06-13T06:38:17Z","title_canon_sha256":"36a728c0cea68bdf74294f7626c3c22bbf1eb450715778aa27547ff2834aa8fa"},"schema_version":"1.0","source":{"id":"1406.3432","kind":"arxiv","version":2}},"canonical_sha256":"7c190d95d562446543b1d11c0b4faa5c0020bbee35cf9ed4f3471ccce5bdac39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c190d95d562446543b1d11c0b4faa5c0020bbee35cf9ed4f3471ccce5bdac39","first_computed_at":"2026-05-18T02:19:59.973752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:59.973752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"97jKKoPffNVdP+ZeZCh4bK1SXpFQvb6/PcF2oKWw45ZYHAZZgJMdJhhDDkYSo/Y+QafP20QOXza3o2riWTYlCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:59.974434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.3432","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9aa5402a4779852a4e5938e885697d81d69b925b523a9deb1d9bf4d9dbecc476","sha256:d2cf9659833a45d70024abba658895137c9b41821efbf84f882cbd92ac9ffc6a"],"state_sha256":"6488a0f019d3f8dcfc15e2cc6539c1b2361a7342b757112a2ca3accb8141cf22"}