{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:U2BPJVKWDH2SJ2KEEJ742VA24T","short_pith_number":"pith:U2BPJVKW","canonical_record":{"source":{"id":"0904.3395","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-04-22T08:05:48Z","cross_cats_sorted":["cond-mat.stat-mech","cs.DM"],"title_canon_sha256":"6a57b7b685aff6602300b999f555f3e0b382dcaad5fd0a2c0b7c1413e26eeb82","abstract_canon_sha256":"c684eaaecf13c9511c99b7e7b51b62ad063ce9e4707fc2f515b863d3acd04461"},"schema_version":"1.0"},"canonical_sha256":"a682f4d55619f524e944227fcd541ae4f1c2c62bb6efff5d5bf8f2d38a606883","source":{"kind":"arxiv","id":"0904.3395","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3395","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3395v1","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3395","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"pith_short_12","alias_value":"U2BPJVKWDH2S","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"U2BPJVKWDH2SJ2KE","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"U2BPJVKW","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:U2BPJVKWDH2SJ2KEEJ742VA24T","target":"record","payload":{"canonical_record":{"source":{"id":"0904.3395","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-04-22T08:05:48Z","cross_cats_sorted":["cond-mat.stat-mech","cs.DM"],"title_canon_sha256":"6a57b7b685aff6602300b999f555f3e0b382dcaad5fd0a2c0b7c1413e26eeb82","abstract_canon_sha256":"c684eaaecf13c9511c99b7e7b51b62ad063ce9e4707fc2f515b863d3acd04461"},"schema_version":"1.0"},"canonical_sha256":"a682f4d55619f524e944227fcd541ae4f1c2c62bb6efff5d5bf8f2d38a606883","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:58.245595Z","signature_b64":"N1P9Iy6Rej7dhPa2k064tc1HCJ1w0KV1++foj1yZvswb/cMtQO6EKYZa86AWelSXfchJa0BGY2tLNC6CQFG6Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a682f4d55619f524e944227fcd541ae4f1c2c62bb6efff5d5bf8f2d38a606883","last_reissued_at":"2026-05-18T02:13:58.244897Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:58.244897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.3395","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:13:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f1mtHt/fZvpJMrrhGaBmHjqh14uro8EksmhA7sJixZ5AKukRN1UHRZtKnqcjpNtYCSfQkntWG37FQ9ts/6jNAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:16:44.912078Z"},"content_sha256":"17c8c082da10b8b31b525785725c6ff96eebd3cbeb3b0e63ad848f3bda924692","schema_version":"1.0","event_id":"sha256:17c8c082da10b8b31b525785725c6ff96eebd3cbeb3b0e63ad848f3bda924692"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:U2BPJVKWDH2SJ2KEEJ742VA24T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the cavity method for decimated random constraint satisfaction problems and the analysis of belief propagation guided decimation algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.DM"],"primary_cat":"cond-mat.dis-nn","authors_text":"Federico Ricci-Tersenghi, Guilhem Semerjian","submitted_at":"2009-04-22T08:05:48Z","abstract_excerpt":"We introduce a version of the cavity method for diluted mean-field spin models that allows the computation of thermodynamic quantities similar to the Franz-Parisi quenched potential in sparse random graph models. This method is developed in the particular case of partially decimated random constraint satisfaction problems. This allows to develop a theoretical understanding of a class of algorithms for solving constraint satisfaction problems, in which elementary degrees of freedom are sequentially assigned according to the results of a message passing procedure (belief-propagation). We confron"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3395","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:13:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WnLqJnFlFT0V/VrCTJ8/mc3WbNmQk8BcIzJ5XG1dmaQTPwmNmSx6CuFCa/xN+TBMMQIzV8ZoNu3ETqrb3VXDDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:16:44.912440Z"},"content_sha256":"1a85542a5087b43fe79ba2a14e5af334b0bfc1bfe09641d573e3382f1e0606b9","schema_version":"1.0","event_id":"sha256:1a85542a5087b43fe79ba2a14e5af334b0bfc1bfe09641d573e3382f1e0606b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U2BPJVKWDH2SJ2KEEJ742VA24T/bundle.json","state_url":"https://pith.science/pith/U2BPJVKWDH2SJ2KEEJ742VA24T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U2BPJVKWDH2SJ2KEEJ742VA24T/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T13:16:44Z","links":{"resolver":"https://pith.science/pith/U2BPJVKWDH2SJ2KEEJ742VA24T","bundle":"https://pith.science/pith/U2BPJVKWDH2SJ2KEEJ742VA24T/bundle.json","state":"https://pith.science/pith/U2BPJVKWDH2SJ2KEEJ742VA24T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U2BPJVKWDH2SJ2KEEJ742VA24T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:U2BPJVKWDH2SJ2KEEJ742VA24T","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":"c684eaaecf13c9511c99b7e7b51b62ad063ce9e4707fc2f515b863d3acd04461","cross_cats_sorted":["cond-mat.stat-mech","cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-04-22T08:05:48Z","title_canon_sha256":"6a57b7b685aff6602300b999f555f3e0b382dcaad5fd0a2c0b7c1413e26eeb82"},"schema_version":"1.0","source":{"id":"0904.3395","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3395","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3395v1","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3395","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"pith_short_12","alias_value":"U2BPJVKWDH2S","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"U2BPJVKWDH2SJ2KE","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"U2BPJVKW","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:1a85542a5087b43fe79ba2a14e5af334b0bfc1bfe09641d573e3382f1e0606b9","target":"graph","created_at":"2026-05-18T02:13:58Z","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":"We introduce a version of the cavity method for diluted mean-field spin models that allows the computation of thermodynamic quantities similar to the Franz-Parisi quenched potential in sparse random graph models. This method is developed in the particular case of partially decimated random constraint satisfaction problems. This allows to develop a theoretical understanding of a class of algorithms for solving constraint satisfaction problems, in which elementary degrees of freedom are sequentially assigned according to the results of a message passing procedure (belief-propagation). We confron","authors_text":"Federico Ricci-Tersenghi, Guilhem Semerjian","cross_cats":["cond-mat.stat-mech","cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-04-22T08:05:48Z","title":"On the cavity method for decimated random constraint satisfaction problems and the analysis of belief propagation guided decimation algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3395","kind":"arxiv","version":1},"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":"sha256:17c8c082da10b8b31b525785725c6ff96eebd3cbeb3b0e63ad848f3bda924692","target":"record","created_at":"2026-05-18T02:13:58Z","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":"c684eaaecf13c9511c99b7e7b51b62ad063ce9e4707fc2f515b863d3acd04461","cross_cats_sorted":["cond-mat.stat-mech","cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-04-22T08:05:48Z","title_canon_sha256":"6a57b7b685aff6602300b999f555f3e0b382dcaad5fd0a2c0b7c1413e26eeb82"},"schema_version":"1.0","source":{"id":"0904.3395","kind":"arxiv","version":1}},"canonical_sha256":"a682f4d55619f524e944227fcd541ae4f1c2c62bb6efff5d5bf8f2d38a606883","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a682f4d55619f524e944227fcd541ae4f1c2c62bb6efff5d5bf8f2d38a606883","first_computed_at":"2026-05-18T02:13:58.244897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:58.244897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N1P9Iy6Rej7dhPa2k064tc1HCJ1w0KV1++foj1yZvswb/cMtQO6EKYZa86AWelSXfchJa0BGY2tLNC6CQFG6Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:58.245595Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.3395","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17c8c082da10b8b31b525785725c6ff96eebd3cbeb3b0e63ad848f3bda924692","sha256:1a85542a5087b43fe79ba2a14e5af334b0bfc1bfe09641d573e3382f1e0606b9"],"state_sha256":"96ba189760daffa3526d82580a61e9bf13ccd7d55ea7bb82a81e04350d73d011"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K4f52L1z587jZB3FfoS9DFiyVGqsPKachi1zCthfc5OLqA2G5jvZcNfnBF+77doovH7XQZEneZnulq1Ss9e1Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T13:16:44.914422Z","bundle_sha256":"769bb96b7644a7e0cef403627861a1fb58f10b280236594ab702ccb504b49810"}}