{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:G47HCV7Y4AYYVQCGGZVNELJZDX","short_pith_number":"pith:G47HCV7Y","schema_version":"1.0","canonical_sha256":"373e7157f8e0318ac046366ad22d391dde33a113dad481c4f21d982c94b87668","source":{"kind":"arxiv","id":"1310.2121","version":1},"attestation_state":"computed","paper":{"title":"Dynamics and termination cost of spatially coupled mean-field models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cond-mat.stat-mech","authors_text":"Francesco Caltagirone, Lenka Zdeborov\\'a, Richard Morris, Silvio Franz","submitted_at":"2013-10-08T13:03:30Z","abstract_excerpt":"This work is motivated by recent progress in information theory and signal processing where the so-called `spatially coupled' design of systems leads to considerably better performance. We address relevant open questions about spatially coupled systems through the study of a simple Ising model. In particular, we consider a chain of Curie-Weiss models that are coupled by interactions up to a certain range. Indeed, it is well known that the pure (uncoupled) Curie-Weiss model undergoes a first order phase transition driven by the magnetic field, and furthermore, in the spinodal region such system"},"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":"1310.2121","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-10-08T13:03:30Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"ee653d9e77117270ceb3ab7dc42de8e8c33e48ebedf5ab178ffe992ea80c52ff","abstract_canon_sha256":"f881974d1f736f5bcf06bc3824d57f38eecb3411ba9cb73b59198f2d34dec361"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:25.763562Z","signature_b64":"y9pukn0B5zAnWkHxPbw77nvb6cJF2XJcNkR9HOS//A1ZMjX+osi/HTz+hb7AUZMXLH1Vw17noBdJkvUuCyHqCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"373e7157f8e0318ac046366ad22d391dde33a113dad481c4f21d982c94b87668","last_reissued_at":"2026-05-18T03:00:25.762795Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:25.762795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics and termination cost of spatially coupled mean-field models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cond-mat.stat-mech","authors_text":"Francesco Caltagirone, Lenka Zdeborov\\'a, Richard Morris, Silvio Franz","submitted_at":"2013-10-08T13:03:30Z","abstract_excerpt":"This work is motivated by recent progress in information theory and signal processing where the so-called `spatially coupled' design of systems leads to considerably better performance. We address relevant open questions about spatially coupled systems through the study of a simple Ising model. In particular, we consider a chain of Curie-Weiss models that are coupled by interactions up to a certain range. Indeed, it is well known that the pure (uncoupled) Curie-Weiss model undergoes a first order phase transition driven by the magnetic field, and furthermore, in the spinodal region such system"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2121","kind":"arxiv","version":1},"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":"1310.2121","created_at":"2026-05-18T03:00:25.762950+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.2121v1","created_at":"2026-05-18T03:00:25.762950+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2121","created_at":"2026-05-18T03:00:25.762950+00:00"},{"alias_kind":"pith_short_12","alias_value":"G47HCV7Y4AYY","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"G47HCV7Y4AYYVQCG","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"G47HCV7Y","created_at":"2026-05-18T12:27:45.050594+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/G47HCV7Y4AYYVQCGGZVNELJZDX","json":"https://pith.science/pith/G47HCV7Y4AYYVQCGGZVNELJZDX.json","graph_json":"https://pith.science/api/pith-number/G47HCV7Y4AYYVQCGGZVNELJZDX/graph.json","events_json":"https://pith.science/api/pith-number/G47HCV7Y4AYYVQCGGZVNELJZDX/events.json","paper":"https://pith.science/paper/G47HCV7Y"},"agent_actions":{"view_html":"https://pith.science/pith/G47HCV7Y4AYYVQCGGZVNELJZDX","download_json":"https://pith.science/pith/G47HCV7Y4AYYVQCGGZVNELJZDX.json","view_paper":"https://pith.science/paper/G47HCV7Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.2121&json=true","fetch_graph":"https://pith.science/api/pith-number/G47HCV7Y4AYYVQCGGZVNELJZDX/graph.json","fetch_events":"https://pith.science/api/pith-number/G47HCV7Y4AYYVQCGGZVNELJZDX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G47HCV7Y4AYYVQCGGZVNELJZDX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G47HCV7Y4AYYVQCGGZVNELJZDX/action/storage_attestation","attest_author":"https://pith.science/pith/G47HCV7Y4AYYVQCGGZVNELJZDX/action/author_attestation","sign_citation":"https://pith.science/pith/G47HCV7Y4AYYVQCGGZVNELJZDX/action/citation_signature","submit_replication":"https://pith.science/pith/G47HCV7Y4AYYVQCGGZVNELJZDX/action/replication_record"}},"created_at":"2026-05-18T03:00:25.762950+00:00","updated_at":"2026-05-18T03:00:25.762950+00:00"}