{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EIR6SRJ2NUU7RJCFYZ3RLZVAQ2","short_pith_number":"pith:EIR6SRJ2","schema_version":"1.0","canonical_sha256":"2223e9453a6d29f8a445c67715e6a086a3e6a1ab24c58a0ead325a323347105c","source":{"kind":"arxiv","id":"1704.01043","version":1},"attestation_state":"computed","paper":{"title":"Charting the replica symmetric phase","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","math-ph","math.MP","math.PR"],"primary_cat":"cs.DM","authors_text":"Amin Coja-Oghlan, Charilaos Efthymiou, Mihyun Kang, Nor Jaafari, Tobias Kapetanopoulos","submitted_at":"2017-04-04T14:58:59Z","abstract_excerpt":"Diluted mean-field models are spin systems whose geometry of interactions is induced by a sparse random graph or hypergraph. Such models play an eminent role in the statistical mechanics of disordered systems as well as in combinatorics and computer science. In a path-breaking paper based on the non-rigorous `cavity method', physicists predicted not only the existence of a replica symmetry breaking phase transition in such models but also sketched a detailed picture of the evolution of the Gibbs measure within the replica symmetric phase and its impact on important problems in combinatorics, c"},"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":"1704.01043","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-04-04T14:58:59Z","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP","math.PR"],"title_canon_sha256":"622cb5f66b877887f5057c9bf28270fd67bab46efe50aa71d298634ca7eb6951","abstract_canon_sha256":"9ec120a0193519a06100be85068090e8a940016a63638ee31345d8ed5e420c42"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:14.422422Z","signature_b64":"liR1QhtXj8L+KyKNl3uAq0Zpfun+bvnwVtY0xM13XVwXY5WuRh22VcdzAwRNYRGtZsLtJbNRuzaHS7EZodQFBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2223e9453a6d29f8a445c67715e6a086a3e6a1ab24c58a0ead325a323347105c","last_reissued_at":"2026-05-18T00:21:14.421909Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:14.421909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Charting the replica symmetric phase","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","math-ph","math.MP","math.PR"],"primary_cat":"cs.DM","authors_text":"Amin Coja-Oghlan, Charilaos Efthymiou, Mihyun Kang, Nor Jaafari, Tobias Kapetanopoulos","submitted_at":"2017-04-04T14:58:59Z","abstract_excerpt":"Diluted mean-field models are spin systems whose geometry of interactions is induced by a sparse random graph or hypergraph. Such models play an eminent role in the statistical mechanics of disordered systems as well as in combinatorics and computer science. In a path-breaking paper based on the non-rigorous `cavity method', physicists predicted not only the existence of a replica symmetry breaking phase transition in such models but also sketched a detailed picture of the evolution of the Gibbs measure within the replica symmetric phase and its impact on important problems in combinatorics, c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01043","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":"1704.01043","created_at":"2026-05-18T00:21:14.421986+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.01043v1","created_at":"2026-05-18T00:21:14.421986+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01043","created_at":"2026-05-18T00:21:14.421986+00:00"},{"alias_kind":"pith_short_12","alias_value":"EIR6SRJ2NUU7","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EIR6SRJ2NUU7RJCF","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EIR6SRJ2","created_at":"2026-05-18T12:31:12.930513+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/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2","json":"https://pith.science/pith/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2.json","graph_json":"https://pith.science/api/pith-number/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2/graph.json","events_json":"https://pith.science/api/pith-number/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2/events.json","paper":"https://pith.science/paper/EIR6SRJ2"},"agent_actions":{"view_html":"https://pith.science/pith/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2","download_json":"https://pith.science/pith/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2.json","view_paper":"https://pith.science/paper/EIR6SRJ2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.01043&json=true","fetch_graph":"https://pith.science/api/pith-number/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2/graph.json","fetch_events":"https://pith.science/api/pith-number/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2/action/storage_attestation","attest_author":"https://pith.science/pith/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2/action/author_attestation","sign_citation":"https://pith.science/pith/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2/action/citation_signature","submit_replication":"https://pith.science/pith/EIR6SRJ2NUU7RJCFYZ3RLZVAQ2/action/replication_record"}},"created_at":"2026-05-18T00:21:14.421986+00:00","updated_at":"2026-05-18T00:21:14.421986+00:00"}