{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:PZ5LP2AH6W3JECJG7DVVNLJT2N","short_pith_number":"pith:PZ5LP2AH","canonical_record":{"source":{"id":"cond-mat/0306369","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2003-06-13T14:25:24Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"7b71681bb7abd886d220312b8b64d1c101855dbeafe8a9d2503536df082b89bb","abstract_canon_sha256":"4e955e2e814201f483058e8e3a3a4b3a7a25ac68dc56bf63f018e788c87c328b"},"schema_version":"1.0"},"canonical_sha256":"7e7ab7e807f5b6920926f8eb56ad33d3766d3a25abc20dedd5e4ecb7a926b256","source":{"kind":"arxiv","id":"cond-mat/0306369","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0306369","created_at":"2026-07-04T16:39:02Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0306369v2","created_at":"2026-07-04T16:39:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0306369","created_at":"2026-07-04T16:39:02Z"},{"alias_kind":"pith_short_12","alias_value":"PZ5LP2AH6W3J","created_at":"2026-07-04T16:39:02Z"},{"alias_kind":"pith_short_16","alias_value":"PZ5LP2AH6W3JECJG","created_at":"2026-07-04T16:39:02Z"},{"alias_kind":"pith_short_8","alias_value":"PZ5LP2AH","created_at":"2026-07-04T16:39:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:PZ5LP2AH6W3JECJG7DVVNLJT2N","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0306369","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2003-06-13T14:25:24Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"7b71681bb7abd886d220312b8b64d1c101855dbeafe8a9d2503536df082b89bb","abstract_canon_sha256":"4e955e2e814201f483058e8e3a3a4b3a7a25ac68dc56bf63f018e788c87c328b"},"schema_version":"1.0"},"canonical_sha256":"7e7ab7e807f5b6920926f8eb56ad33d3766d3a25abc20dedd5e4ecb7a926b256","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:39:02.073416Z","signature_b64":"gWzb8C8xr6wrqMtQIzd0qaxKrscttgmUrF6qKjn6yxuXSybpXgyodFmMzxlIBoMI6sSna8vXYUIwHK31OIueAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e7ab7e807f5b6920926f8eb56ad33d3766d3a25abc20dedd5e4ecb7a926b256","last_reissued_at":"2026-07-04T16:39:02.073056Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:39:02.073056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0306369","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:39:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4kOcmicz2IXC3zVWWlCKQ+S5wG7FVUuwIv88XOWZJ4a9vMyVZRNxsgecysRfhMzHTEA2siiNB2qBvxP4OKAgBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T21:12:44.799562Z"},"content_sha256":"dd63b5f4b3f41b7b97f47ca4525491d64e92721294bf22a8b111ea3e65a68591","schema_version":"1.0","event_id":"sha256:dd63b5f4b3f41b7b97f47ca4525491d64e92721294bf22a8b111ea3e65a68591"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:PZ5LP2AH6W3JECJG7DVVNLJT2N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bicoloring Random Hypergraphs","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Federico Ricci-Tersenghi, Riccardo Zecchina, Tommaso Castellani, Vincenzo Napolano","submitted_at":"2003-06-13T14:25:24Z","abstract_excerpt":"We study the problem of bicoloring random hypergraphs, both numerically and analytically. We apply the zero-temperature cavity method to find analytical results for the phase transitions (dynamic and static) in the 1RSB approximation. These points appear to be in agreement with the results of the numerical algorithm. In the second part, we implement and test the Survey Propagation algorithm for specific bicoloring instances in the so called HARD-SAT phase."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0306369","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0306369/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:39:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7AgucX5nx5v28tm7CBbk/cDa1uyxK2tSpN9HoGQN1hKUQL0f2+x4e25Eb+zBjFfppf8XfGr9OOlvxNMIHZcmAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T21:12:44.800104Z"},"content_sha256":"40e6d0f528cf40e48beee50458e631ed837e3eaf888957f36bfd308f4333111a","schema_version":"1.0","event_id":"sha256:40e6d0f528cf40e48beee50458e631ed837e3eaf888957f36bfd308f4333111a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PZ5LP2AH6W3JECJG7DVVNLJT2N/bundle.json","state_url":"https://pith.science/pith/PZ5LP2AH6W3JECJG7DVVNLJT2N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PZ5LP2AH6W3JECJG7DVVNLJT2N/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":"2026-08-05T21:12:44Z","links":{"resolver":"https://pith.science/pith/PZ5LP2AH6W3JECJG7DVVNLJT2N","bundle":"https://pith.science/pith/PZ5LP2AH6W3JECJG7DVVNLJT2N/bundle.json","state":"https://pith.science/pith/PZ5LP2AH6W3JECJG7DVVNLJT2N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PZ5LP2AH6W3JECJG7DVVNLJT2N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:PZ5LP2AH6W3JECJG7DVVNLJT2N","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":"4e955e2e814201f483058e8e3a3a4b3a7a25ac68dc56bf63f018e788c87c328b","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2003-06-13T14:25:24Z","title_canon_sha256":"7b71681bb7abd886d220312b8b64d1c101855dbeafe8a9d2503536df082b89bb"},"schema_version":"1.0","source":{"id":"cond-mat/0306369","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0306369","created_at":"2026-07-04T16:39:02Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0306369v2","created_at":"2026-07-04T16:39:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0306369","created_at":"2026-07-04T16:39:02Z"},{"alias_kind":"pith_short_12","alias_value":"PZ5LP2AH6W3J","created_at":"2026-07-04T16:39:02Z"},{"alias_kind":"pith_short_16","alias_value":"PZ5LP2AH6W3JECJG","created_at":"2026-07-04T16:39:02Z"},{"alias_kind":"pith_short_8","alias_value":"PZ5LP2AH","created_at":"2026-07-04T16:39:02Z"}],"graph_snapshots":[{"event_id":"sha256:40e6d0f528cf40e48beee50458e631ed837e3eaf888957f36bfd308f4333111a","target":"graph","created_at":"2026-07-04T16:39:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0306369/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the problem of bicoloring random hypergraphs, both numerically and analytically. We apply the zero-temperature cavity method to find analytical results for the phase transitions (dynamic and static) in the 1RSB approximation. These points appear to be in agreement with the results of the numerical algorithm. In the second part, we implement and test the Survey Propagation algorithm for specific bicoloring instances in the so called HARD-SAT phase.","authors_text":"Federico Ricci-Tersenghi, Riccardo Zecchina, Tommaso Castellani, Vincenzo Napolano","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2003-06-13T14:25:24Z","title":"Bicoloring Random Hypergraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0306369","kind":"arxiv","version":2},"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:dd63b5f4b3f41b7b97f47ca4525491d64e92721294bf22a8b111ea3e65a68591","target":"record","created_at":"2026-07-04T16:39:02Z","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":"4e955e2e814201f483058e8e3a3a4b3a7a25ac68dc56bf63f018e788c87c328b","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2003-06-13T14:25:24Z","title_canon_sha256":"7b71681bb7abd886d220312b8b64d1c101855dbeafe8a9d2503536df082b89bb"},"schema_version":"1.0","source":{"id":"cond-mat/0306369","kind":"arxiv","version":2}},"canonical_sha256":"7e7ab7e807f5b6920926f8eb56ad33d3766d3a25abc20dedd5e4ecb7a926b256","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e7ab7e807f5b6920926f8eb56ad33d3766d3a25abc20dedd5e4ecb7a926b256","first_computed_at":"2026-07-04T16:39:02.073056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:39:02.073056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gWzb8C8xr6wrqMtQIzd0qaxKrscttgmUrF6qKjn6yxuXSybpXgyodFmMzxlIBoMI6sSna8vXYUIwHK31OIueAg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:39:02.073416Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0306369","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd63b5f4b3f41b7b97f47ca4525491d64e92721294bf22a8b111ea3e65a68591","sha256:40e6d0f528cf40e48beee50458e631ed837e3eaf888957f36bfd308f4333111a"],"state_sha256":"3225c36adad3fdcf38ad8916e8fc8251a8496b891bbf329613a098f2bd17f659"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E1Gp+Zxj4/LoJMl8yomy6cMjjJxgrelzqIDwmYYHqPG4Cyt/VS/nn/oJWMbJhtNMFJFnHQpt95M1tXDIuZj7Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T21:12:44.803832Z","bundle_sha256":"34166dfc327401fec796b6d9043b6790c3536b88a7ab52f9a4befa9a9ce94eb5"}}