{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:AXUU4VWDBCRZ63DMUYQKLOOG2V","short_pith_number":"pith:AXUU4VWD","schema_version":"1.0","canonical_sha256":"05e94e56c308a39f6c6ca620a5b9c6d5671889de385086cf46337c503f1d13e1","source":{"kind":"arxiv","id":"1710.06686","version":2},"attestation_state":"computed","paper":{"title":"Statistics of optimal information flow in ensembles of regulatory motifs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech","q-bio.QM"],"primary_cat":"q-bio.MN","authors_text":"Andrea Crisanti, Andrea De Martino, Jonathan Fiorentino","submitted_at":"2017-10-18T11:44:27Z","abstract_excerpt":"Genetic regulatory circuits universally cope with different sources of noise that limit their ability to coordinate input and output signals. In many cases, optimal regulatory performance can be thought to correspond to configurations of variables and parameters that maximize the mutual information between inputs and outputs. Such optima have been well characterized in several biologically relevant cases over the past decade. Here we use methods of statistical field theory to calculate the statistics of the maximal mutual information (the `capacity') achievable by tuning the input variable onl"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1710.06686","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2017-10-18T11:44:27Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech","q-bio.QM"],"title_canon_sha256":"b5654188c3408d16c08cee6434c411d6d7cd9e49539e8085fe10c66bd449098f","abstract_canon_sha256":"0f51a2779c6a74658c345a47f577166dd512d4310e0831de9c9242e2d29eb9b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:13.873108Z","signature_b64":"HZ64nlhuVonoAE8wL07vJsdOqkTqKhCj8vBNoz1mcPkWFW935S7yyXi9G3qIXc1lPCe8xbeRBcIPnyXlCtuqCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05e94e56c308a39f6c6ca620a5b9c6d5671889de385086cf46337c503f1d13e1","last_reissued_at":"2026-05-18T00:23:13.872264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:13.872264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Statistics of optimal information flow in ensembles of regulatory motifs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech","q-bio.QM"],"primary_cat":"q-bio.MN","authors_text":"Andrea Crisanti, Andrea De Martino, Jonathan Fiorentino","submitted_at":"2017-10-18T11:44:27Z","abstract_excerpt":"Genetic regulatory circuits universally cope with different sources of noise that limit their ability to coordinate input and output signals. In many cases, optimal regulatory performance can be thought to correspond to configurations of variables and parameters that maximize the mutual information between inputs and outputs. Such optima have been well characterized in several biologically relevant cases over the past decade. Here we use methods of statistical field theory to calculate the statistics of the maximal mutual information (the `capacity') achievable by tuning the input variable onl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06686","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1710.06686","created_at":"2026-05-18T00:23:13.872429+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.06686v2","created_at":"2026-05-18T00:23:13.872429+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06686","created_at":"2026-05-18T00:23:13.872429+00:00"},{"alias_kind":"pith_short_12","alias_value":"AXUU4VWDBCRZ","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"AXUU4VWDBCRZ63DM","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"AXUU4VWD","created_at":"2026-05-18T12:31:08.081275+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AXUU4VWDBCRZ63DMUYQKLOOG2V","json":"https://pith.science/pith/AXUU4VWDBCRZ63DMUYQKLOOG2V.json","graph_json":"https://pith.science/api/pith-number/AXUU4VWDBCRZ63DMUYQKLOOG2V/graph.json","events_json":"https://pith.science/api/pith-number/AXUU4VWDBCRZ63DMUYQKLOOG2V/events.json","paper":"https://pith.science/paper/AXUU4VWD"},"agent_actions":{"view_html":"https://pith.science/pith/AXUU4VWDBCRZ63DMUYQKLOOG2V","download_json":"https://pith.science/pith/AXUU4VWDBCRZ63DMUYQKLOOG2V.json","view_paper":"https://pith.science/paper/AXUU4VWD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.06686&json=true","fetch_graph":"https://pith.science/api/pith-number/AXUU4VWDBCRZ63DMUYQKLOOG2V/graph.json","fetch_events":"https://pith.science/api/pith-number/AXUU4VWDBCRZ63DMUYQKLOOG2V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AXUU4VWDBCRZ63DMUYQKLOOG2V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AXUU4VWDBCRZ63DMUYQKLOOG2V/action/storage_attestation","attest_author":"https://pith.science/pith/AXUU4VWDBCRZ63DMUYQKLOOG2V/action/author_attestation","sign_citation":"https://pith.science/pith/AXUU4VWDBCRZ63DMUYQKLOOG2V/action/citation_signature","submit_replication":"https://pith.science/pith/AXUU4VWDBCRZ63DMUYQKLOOG2V/action/replication_record"}},"created_at":"2026-05-18T00:23:13.872429+00:00","updated_at":"2026-05-18T00:23:13.872429+00:00"}