{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:SQZT5K74X42PJJTTWPJRLXL6T4","short_pith_number":"pith:SQZT5K74","canonical_record":{"source":{"id":"cond-mat/9805139","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1998-05-12T12:51:24Z","cross_cats_sorted":[],"title_canon_sha256":"56cff4e99f3c9b8a3e7e97b34c37fbb465126c62d9e8aae8d5209fb2580a0837","abstract_canon_sha256":"2bd42c163112eac60d44c14b1095fd7fa349b67e37d2f45d067426e257c42a5c"},"schema_version":"1.0"},"canonical_sha256":"94333eabfcbf34f4a673b3d315dd7e9f1d20a3f23aaab23cabf6e03f66ae6eea","source":{"kind":"arxiv","id":"cond-mat/9805139","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9805139","created_at":"2026-05-18T01:39:30Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9805139v1","created_at":"2026-05-18T01:39:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9805139","created_at":"2026-05-18T01:39:30Z"},{"alias_kind":"pith_short_12","alias_value":"SQZT5K74X42P","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"SQZT5K74X42PJJTT","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"SQZT5K74","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:SQZT5K74X42PJJTTWPJRLXL6T4","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9805139","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1998-05-12T12:51:24Z","cross_cats_sorted":[],"title_canon_sha256":"56cff4e99f3c9b8a3e7e97b34c37fbb465126c62d9e8aae8d5209fb2580a0837","abstract_canon_sha256":"2bd42c163112eac60d44c14b1095fd7fa349b67e37d2f45d067426e257c42a5c"},"schema_version":"1.0"},"canonical_sha256":"94333eabfcbf34f4a673b3d315dd7e9f1d20a3f23aaab23cabf6e03f66ae6eea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:30.548514Z","signature_b64":"SwS07wLx9xFsNxi+yoBqXTKB12aXOnVWM82ZgkTl58xDDY+UgHRUfy8ZJMZ/G5Y9OoQBGJ16mONN0F2fu77NBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94333eabfcbf34f4a673b3d315dd7e9f1d20a3f23aaab23cabf6e03f66ae6eea","last_reissued_at":"2026-05-18T01:39:30.547958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:30.547958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9805139","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":"2026-05-18T01:39:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8FtjuNAlprHhaoYaRlNIb9ESPvrN+LTX8GoWaEN6H3Vbjmatj7oKr3Sie2x9VE4csnyWoAahXLk/BgblolwFCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:08:07.025158Z"},"content_sha256":"d774145fd44981e813a69e18499981d1343318e6e7972f88a14b44da540d3c89","schema_version":"1.0","event_id":"sha256:d774145fd44981e813a69e18499981d1343318e6e7972f88a14b44da540d3c89"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:SQZT5K74X42PJJTTWPJRLXL6T4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correlation functions by Cluster Variation Method for Ising model with NN, NNN and Plaquette interactions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Maritan, E.N.M. Cirillo, G. Gonnella, M. Troccoli","submitted_at":"1998-05-12T12:51:24Z","abstract_excerpt":"We consider the procedure for calculating the pair correlation function in the context of the Cluster Variation Methods. As specific cases, we study the pair correlation function in the paramagnetic phase of the Ising model with nearest neighbors, next to the nearest neighbors and plaquette interactions in two and three dimensions. In presence of competing interactions, the so called disorder line separates in the paramagnetic phase a region where the correlation function has the usual exponential behavior from a region where the correlation has an oscillating exponentially damped behavior. In"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9805139","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":"2026-05-18T01:39:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZYhdVFL3bumb78g8fSYjh+wCBhD4YW5Kg98NmzOwGLdjqe/vdSkjxnPHNjQ8AWWhD7qGaT9j1zwj5nNLYW3yDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:08:07.025525Z"},"content_sha256":"4053f5d4c7c0b9755052ef58fce824d0af858cc815a5b4036e62d02fe01fae26","schema_version":"1.0","event_id":"sha256:4053f5d4c7c0b9755052ef58fce824d0af858cc815a5b4036e62d02fe01fae26"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SQZT5K74X42PJJTTWPJRLXL6T4/bundle.json","state_url":"https://pith.science/pith/SQZT5K74X42PJJTTWPJRLXL6T4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SQZT5K74X42PJJTTWPJRLXL6T4/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":"2026-06-05T13:08:07Z","links":{"resolver":"https://pith.science/pith/SQZT5K74X42PJJTTWPJRLXL6T4","bundle":"https://pith.science/pith/SQZT5K74X42PJJTTWPJRLXL6T4/bundle.json","state":"https://pith.science/pith/SQZT5K74X42PJJTTWPJRLXL6T4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SQZT5K74X42PJJTTWPJRLXL6T4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:SQZT5K74X42PJJTTWPJRLXL6T4","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":"2bd42c163112eac60d44c14b1095fd7fa349b67e37d2f45d067426e257c42a5c","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1998-05-12T12:51:24Z","title_canon_sha256":"56cff4e99f3c9b8a3e7e97b34c37fbb465126c62d9e8aae8d5209fb2580a0837"},"schema_version":"1.0","source":{"id":"cond-mat/9805139","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9805139","created_at":"2026-05-18T01:39:30Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9805139v1","created_at":"2026-05-18T01:39:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9805139","created_at":"2026-05-18T01:39:30Z"},{"alias_kind":"pith_short_12","alias_value":"SQZT5K74X42P","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"SQZT5K74X42PJJTT","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"SQZT5K74","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:4053f5d4c7c0b9755052ef58fce824d0af858cc815a5b4036e62d02fe01fae26","target":"graph","created_at":"2026-05-18T01:39:30Z","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 consider the procedure for calculating the pair correlation function in the context of the Cluster Variation Methods. As specific cases, we study the pair correlation function in the paramagnetic phase of the Ising model with nearest neighbors, next to the nearest neighbors and plaquette interactions in two and three dimensions. In presence of competing interactions, the so called disorder line separates in the paramagnetic phase a region where the correlation function has the usual exponential behavior from a region where the correlation has an oscillating exponentially damped behavior. In","authors_text":"A. Maritan, E.N.M. Cirillo, G. Gonnella, M. Troccoli","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1998-05-12T12:51:24Z","title":"Correlation functions by Cluster Variation Method for Ising model with NN, NNN and Plaquette interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9805139","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:d774145fd44981e813a69e18499981d1343318e6e7972f88a14b44da540d3c89","target":"record","created_at":"2026-05-18T01:39:30Z","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":"2bd42c163112eac60d44c14b1095fd7fa349b67e37d2f45d067426e257c42a5c","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1998-05-12T12:51:24Z","title_canon_sha256":"56cff4e99f3c9b8a3e7e97b34c37fbb465126c62d9e8aae8d5209fb2580a0837"},"schema_version":"1.0","source":{"id":"cond-mat/9805139","kind":"arxiv","version":1}},"canonical_sha256":"94333eabfcbf34f4a673b3d315dd7e9f1d20a3f23aaab23cabf6e03f66ae6eea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94333eabfcbf34f4a673b3d315dd7e9f1d20a3f23aaab23cabf6e03f66ae6eea","first_computed_at":"2026-05-18T01:39:30.547958Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:30.547958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SwS07wLx9xFsNxi+yoBqXTKB12aXOnVWM82ZgkTl58xDDY+UgHRUfy8ZJMZ/G5Y9OoQBGJ16mONN0F2fu77NBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:30.548514Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9805139","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d774145fd44981e813a69e18499981d1343318e6e7972f88a14b44da540d3c89","sha256:4053f5d4c7c0b9755052ef58fce824d0af858cc815a5b4036e62d02fe01fae26"],"state_sha256":"d36f36a62456172d4995018f79a0fb4a6e5cc865a3aa667b7f7618d126e1c0ce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"omGiCmwzMziUMe9gIUM17AtWJYHW7PXLegCrRvCrPiis4NnkuSYBzWcNbUsoQpVC3dFU8rtx6yjxX3ZORenFAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T13:08:07.027590Z","bundle_sha256":"e9376b544ac8acac195e83f510e86f580e225517cf981bcb16ee775ddd1515b4"}}