{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:53BBXYHOHK6G3KXWTM2NJDYZZP","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":"a34d15453dddb097cf354536b9caa8052132e2ddfeb03c4ff8b30cec7d0e9b19","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-07-04T14:55:30Z","title_canon_sha256":"16c2463b130daf9f882922a403df7269b19e3bb7837c523de9f948ccce0dbe92"},"schema_version":"1.0","source":{"id":"1407.1255","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1255","created_at":"2026-05-18T01:42:41Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1255v2","created_at":"2026-05-18T01:42:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1255","created_at":"2026-05-18T01:42:41Z"},{"alias_kind":"pith_short_12","alias_value":"53BBXYHOHK6G","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"53BBXYHOHK6G3KXW","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"53BBXYHO","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:97b50c10d28e2e351105931b380cfdb1075862e540d37ab056cc10b8364f88fe","target":"graph","created_at":"2026-05-18T01:42:41Z","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":"Understanding and quantifying the dynamics of disordered out-of-equilibrium models is an important problem in many branches of science. Using the dynamic cavity method on time trajectories, we construct a general procedure for deriving the dynamic message-passing equations for a large class of models with unidirectional dynamics, which includes the zero-temperature random field Ising model, the susceptible-infected-recovered model, and rumor spreading models. We show that unidirectionality of the dynamics is the key ingredient that makes the problem solvable. These equations are applicable to ","authors_text":"Andrey Y. Lokhov, Lenka Zdeborov\\'a, Marc M\\'ezard","cross_cats":["cond-mat.stat-mech","cs.SI","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-07-04T14:55:30Z","title":"Dynamic message-passing equations for models with unidirectional dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1255","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:c54528a5857b997c4e434b286fc76c9ff2cd35b0e90e4747a64beed1c93b98a8","target":"record","created_at":"2026-05-18T01:42:41Z","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":"a34d15453dddb097cf354536b9caa8052132e2ddfeb03c4ff8b30cec7d0e9b19","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-07-04T14:55:30Z","title_canon_sha256":"16c2463b130daf9f882922a403df7269b19e3bb7837c523de9f948ccce0dbe92"},"schema_version":"1.0","source":{"id":"1407.1255","kind":"arxiv","version":2}},"canonical_sha256":"eec21be0ee3abc6daaf69b34d48f19cbcd35e9e12f1f6bca58517eb67a3610b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eec21be0ee3abc6daaf69b34d48f19cbcd35e9e12f1f6bca58517eb67a3610b6","first_computed_at":"2026-05-18T01:42:41.881770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:41.881770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R6750jtfGYKfi3DRKUkXST9CEnDv2KtjcCIDHcJ1uKShMv6XYXRVCj7l/DluN1kFQQJp91MCbSMQIDHXn2zJDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:41.882250Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.1255","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c54528a5857b997c4e434b286fc76c9ff2cd35b0e90e4747a64beed1c93b98a8","sha256:97b50c10d28e2e351105931b380cfdb1075862e540d37ab056cc10b8364f88fe"],"state_sha256":"a36a6a812899aceae7d0c9cb13377fc4e8bb22d9094e2f447a769b3c63d4ccff"}