{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:53BBXYHOHK6G3KXWTM2NJDYZZP","short_pith_number":"pith:53BBXYHO","schema_version":"1.0","canonical_sha256":"eec21be0ee3abc6daaf69b34d48f19cbcd35e9e12f1f6bca58517eb67a3610b6","source":{"kind":"arxiv","id":"1407.1255","version":2},"attestation_state":"computed","paper":{"title":"Dynamic message-passing equations for models with unidirectional dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.SI","physics.soc-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Andrey Y. Lokhov, Lenka Zdeborov\\'a, Marc M\\'ezard","submitted_at":"2014-07-04T14:55:30Z","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 "},"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":"1407.1255","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-07-04T14:55:30Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","physics.soc-ph"],"title_canon_sha256":"16c2463b130daf9f882922a403df7269b19e3bb7837c523de9f948ccce0dbe92","abstract_canon_sha256":"a34d15453dddb097cf354536b9caa8052132e2ddfeb03c4ff8b30cec7d0e9b19"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:41.882250Z","signature_b64":"R6750jtfGYKfi3DRKUkXST9CEnDv2KtjcCIDHcJ1uKShMv6XYXRVCj7l/DluN1kFQQJp91MCbSMQIDHXn2zJDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eec21be0ee3abc6daaf69b34d48f19cbcd35e9e12f1f6bca58517eb67a3610b6","last_reissued_at":"2026-05-18T01:42:41.881770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:41.881770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamic message-passing equations for models with unidirectional dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.SI","physics.soc-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Andrey Y. Lokhov, Lenka Zdeborov\\'a, Marc M\\'ezard","submitted_at":"2014-07-04T14:55:30Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1255","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":"1407.1255","created_at":"2026-05-18T01:42:41.881840+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.1255v2","created_at":"2026-05-18T01:42:41.881840+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1255","created_at":"2026-05-18T01:42:41.881840+00:00"},{"alias_kind":"pith_short_12","alias_value":"53BBXYHOHK6G","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"53BBXYHOHK6G3KXW","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"53BBXYHO","created_at":"2026-05-18T12:28:14.216126+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/53BBXYHOHK6G3KXWTM2NJDYZZP","json":"https://pith.science/pith/53BBXYHOHK6G3KXWTM2NJDYZZP.json","graph_json":"https://pith.science/api/pith-number/53BBXYHOHK6G3KXWTM2NJDYZZP/graph.json","events_json":"https://pith.science/api/pith-number/53BBXYHOHK6G3KXWTM2NJDYZZP/events.json","paper":"https://pith.science/paper/53BBXYHO"},"agent_actions":{"view_html":"https://pith.science/pith/53BBXYHOHK6G3KXWTM2NJDYZZP","download_json":"https://pith.science/pith/53BBXYHOHK6G3KXWTM2NJDYZZP.json","view_paper":"https://pith.science/paper/53BBXYHO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.1255&json=true","fetch_graph":"https://pith.science/api/pith-number/53BBXYHOHK6G3KXWTM2NJDYZZP/graph.json","fetch_events":"https://pith.science/api/pith-number/53BBXYHOHK6G3KXWTM2NJDYZZP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/53BBXYHOHK6G3KXWTM2NJDYZZP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/53BBXYHOHK6G3KXWTM2NJDYZZP/action/storage_attestation","attest_author":"https://pith.science/pith/53BBXYHOHK6G3KXWTM2NJDYZZP/action/author_attestation","sign_citation":"https://pith.science/pith/53BBXYHOHK6G3KXWTM2NJDYZZP/action/citation_signature","submit_replication":"https://pith.science/pith/53BBXYHOHK6G3KXWTM2NJDYZZP/action/replication_record"}},"created_at":"2026-05-18T01:42:41.881840+00:00","updated_at":"2026-05-18T01:42:41.881840+00:00"}