{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:6L2CKTK6PDXUWBVYWCBDFKHFVH","short_pith_number":"pith:6L2CKTK6","schema_version":"1.0","canonical_sha256":"f2f4254d5e78ef4b06b8b08232a8e5a9cc9f29f63ebf514099ae237dfdecf633","source":{"kind":"arxiv","id":"math/0405357","version":1},"attestation_state":"computed","paper":{"title":"Bounds for diluted mean-fields spin glass models","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"math.PR","authors_text":"Dmitry Panchenko, Michel Talagrand","submitted_at":"2004-05-18T21:38:25Z","abstract_excerpt":"In an important recent paper, \\cite{FL}, S. Franz and M. Leone prove rigorous lower bounds for the free energy of the diluted $p$-spin model and the $K$-sat model at any temperature. We show that the results for these two models are consequences of a single general principle. Our calculations are significantly simpler than those of \\cite{FL}, even in the replica-symmetric case."},"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":"math/0405357","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2004-05-18T21:38:25Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"3e4660993f9d746124f24a5710440a9e365960f5518404a1c364f79efd7eeb14","abstract_canon_sha256":"93545be121916269830e0e86ace2f52acdf57be3350af086e113ee048bdca311"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:42.933590Z","signature_b64":"stHiGUOopZ27X9BidmYY7PxZp873/sy8SWEaJ9NXXD14E6Km5kRHF6EluRUDNf7CDIHhy/kWpw9ewwdxEVB9DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2f4254d5e78ef4b06b8b08232a8e5a9cc9f29f63ebf514099ae237dfdecf633","last_reissued_at":"2026-05-18T04:08:42.932870Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:42.932870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bounds for diluted mean-fields spin glass models","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"math.PR","authors_text":"Dmitry Panchenko, Michel Talagrand","submitted_at":"2004-05-18T21:38:25Z","abstract_excerpt":"In an important recent paper, \\cite{FL}, S. Franz and M. Leone prove rigorous lower bounds for the free energy of the diluted $p$-spin model and the $K$-sat model at any temperature. We show that the results for these two models are consequences of a single general principle. Our calculations are significantly simpler than those of \\cite{FL}, even in the replica-symmetric case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0405357","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":"math/0405357","created_at":"2026-05-18T04:08:42.932966+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0405357v1","created_at":"2026-05-18T04:08:42.932966+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0405357","created_at":"2026-05-18T04:08:42.932966+00:00"},{"alias_kind":"pith_short_12","alias_value":"6L2CKTK6PDXU","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"6L2CKTK6PDXUWBVY","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"6L2CKTK6","created_at":"2026-05-18T12:25:52.051335+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/6L2CKTK6PDXUWBVYWCBDFKHFVH","json":"https://pith.science/pith/6L2CKTK6PDXUWBVYWCBDFKHFVH.json","graph_json":"https://pith.science/api/pith-number/6L2CKTK6PDXUWBVYWCBDFKHFVH/graph.json","events_json":"https://pith.science/api/pith-number/6L2CKTK6PDXUWBVYWCBDFKHFVH/events.json","paper":"https://pith.science/paper/6L2CKTK6"},"agent_actions":{"view_html":"https://pith.science/pith/6L2CKTK6PDXUWBVYWCBDFKHFVH","download_json":"https://pith.science/pith/6L2CKTK6PDXUWBVYWCBDFKHFVH.json","view_paper":"https://pith.science/paper/6L2CKTK6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0405357&json=true","fetch_graph":"https://pith.science/api/pith-number/6L2CKTK6PDXUWBVYWCBDFKHFVH/graph.json","fetch_events":"https://pith.science/api/pith-number/6L2CKTK6PDXUWBVYWCBDFKHFVH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6L2CKTK6PDXUWBVYWCBDFKHFVH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6L2CKTK6PDXUWBVYWCBDFKHFVH/action/storage_attestation","attest_author":"https://pith.science/pith/6L2CKTK6PDXUWBVYWCBDFKHFVH/action/author_attestation","sign_citation":"https://pith.science/pith/6L2CKTK6PDXUWBVYWCBDFKHFVH/action/citation_signature","submit_replication":"https://pith.science/pith/6L2CKTK6PDXUWBVYWCBDFKHFVH/action/replication_record"}},"created_at":"2026-05-18T04:08:42.932966+00:00","updated_at":"2026-05-18T04:08:42.932966+00:00"}