{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TAPGLIBAUWOKLSDFKBYID24YNG","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":"1f2d69dfc598bf1157660764783e5aaaf7ae50c47b58c4b977f680819b0e12c0","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-10-13T12:49:11Z","title_canon_sha256":"2d1bf2285c64fea6c4f54991a8c73ee9c79f1e4a0a0362a69b785ea25a481505"},"schema_version":"1.0","source":{"id":"1710.04894","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04894","created_at":"2026-05-18T00:00:30Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04894v3","created_at":"2026-05-18T00:00:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04894","created_at":"2026-05-18T00:00:30Z"},{"alias_kind":"pith_short_12","alias_value":"TAPGLIBAUWOK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"TAPGLIBAUWOKLSDF","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"TAPGLIBA","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:a825c9faa8e1c854e42c774ad096ec819f3317279b3661655ae894ee825dbffb","target":"graph","created_at":"2026-05-18T00:00:30Z","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":"Perceptrons are the building blocks of many theoretical approaches to a wide range of complex systems, ranging from neural networks and deep learning machines, to constraint satisfaction problems, glasses and ecosystems. Despite their applicability and importance, a detailed study of their Langevin dynamics has never been performed yet. Here we derive the mean-field dynamical equations that describe the continuous random perceptron in the thermodynamic limit, in a very general setting with arbitrary noise and friction kernels, not necessarily related by equilibrium relations. We derive the equ","authors_text":"Elisabeth Agoritsas, Francesco Zamponi, Giulio Biroli, Pierfrancesco Urbani","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-10-13T12:49:11Z","title":"Out-of-equilibrium dynamical mean-field equations for the perceptron model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04894","kind":"arxiv","version":3},"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:efb8f8d2f69c0fbf3530b1ad04002e12015dcf56fdae7e76e97549b232636251","target":"record","created_at":"2026-05-18T00:00:30Z","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":"1f2d69dfc598bf1157660764783e5aaaf7ae50c47b58c4b977f680819b0e12c0","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-10-13T12:49:11Z","title_canon_sha256":"2d1bf2285c64fea6c4f54991a8c73ee9c79f1e4a0a0362a69b785ea25a481505"},"schema_version":"1.0","source":{"id":"1710.04894","kind":"arxiv","version":3}},"canonical_sha256":"981e65a020a59ca5c865507081eb9869b5d7b7ba566548a1d2528f3a961ff146","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"981e65a020a59ca5c865507081eb9869b5d7b7ba566548a1d2528f3a961ff146","first_computed_at":"2026-05-18T00:00:30.919622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:30.919622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3OK6uFqwKDjvflW1LXgM0L4NXscCpBo+Ddb4gvzBnQ4wv8ty77XUdOdvtKSk9oamNCIBmwlchKggKRmfBsTBBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:30.920172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.04894","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:efb8f8d2f69c0fbf3530b1ad04002e12015dcf56fdae7e76e97549b232636251","sha256:a825c9faa8e1c854e42c774ad096ec819f3317279b3661655ae894ee825dbffb"],"state_sha256":"0a77468aac9dfe097a87aa2db94871bf369cacf228f69154ff22490bba66f4d4"}