{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:TBDP6F3UNAUNNKOBY5SWYPVQSV","short_pith_number":"pith:TBDP6F3U","canonical_record":{"source":{"id":"0902.0594","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-02-03T20:16:21Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"58af93b71973e89b3e691f911c0260ad5e072ef1917b2c56f8e10514a33c7bd0","abstract_canon_sha256":"e03df139cb2efd8ea03f06749e953fc517677c0ecdfacd1cccbaf54ed4d2ee7c"},"schema_version":"1.0"},"canonical_sha256":"9846ff17746828d6a9c1c7656c3eb0955e927ecc642fe2479c1856682717e66d","source":{"kind":"arxiv","id":"0902.0594","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.0594","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"0902.0594v1","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.0594","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"TBDP6F3UNAUN","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"TBDP6F3UNAUNNKOB","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"TBDP6F3U","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:TBDP6F3UNAUNNKOBY5SWYPVQSV","target":"record","payload":{"canonical_record":{"source":{"id":"0902.0594","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-02-03T20:16:21Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"58af93b71973e89b3e691f911c0260ad5e072ef1917b2c56f8e10514a33c7bd0","abstract_canon_sha256":"e03df139cb2efd8ea03f06749e953fc517677c0ecdfacd1cccbaf54ed4d2ee7c"},"schema_version":"1.0"},"canonical_sha256":"9846ff17746828d6a9c1c7656c3eb0955e927ecc642fe2479c1856682717e66d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:08.043599Z","signature_b64":"O6hn0kqYQmFJ8DbdpGBXMVhR2RMHkWRUEJedmmY91wwSYwaWCr/KZSCK99T12DbXB357mWFPG0EZgxwpqrcTBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9846ff17746828d6a9c1c7656c3eb0955e927ecc642fe2479c1856682717e66d","last_reissued_at":"2026-05-18T03:24:08.042896Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:08.042896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0902.0594","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":"2026-05-18T03:24:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bt+qit2vUdqOAR9ynJF4YHTpRlcVOyZPvyO76ztnluP361vGZG0D8qhep2TZ6QkkWH8mIf9fDYGbm0s5rh01DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T00:49:35.610113Z"},"content_sha256":"f55ccabbf4d4928a451ea3507ae92e7a8ceb5c848ac8c59f9787e78b265b13b3","schema_version":"1.0","event_id":"sha256:f55ccabbf4d4928a451ea3507ae92e7a8ceb5c848ac8c59f9787e78b265b13b3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:TBDP6F3UNAUNNKOBY5SWYPVQSV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the structure of correlations in the three dimensional spin glasses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"cond-mat.dis-nn","authors_text":"Cecilia Vernia, Claudio Giberti, Cristian Giardina, Giorgio Parisi, Pierluigi Contucci","submitted_at":"2009-02-03T20:16:21Z","abstract_excerpt":"We investigate the low temperature phase of three-dimensional Edwards-Anderson model with Bernoulli random couplings. We show that at a fixed value $Q$ of the overlap the model fulfills the clustering property: the connected correlation functions between two local overlaps decay as a power whose exponent is independent of $Q$ for all $0\\le |Q| < q_{EA}$. Our findings are in agreement with the RSB theory and show that the overlap is a good order parameter."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.0594","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":"2026-05-18T03:24:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hf4otsgnkSzBBMhVebGcZrGCIFoUk10HCXcpCGMrSr+gFH7FGZXUub0ujk0pzTPjkAQgnNlxtxX/8iCuFSwUAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T00:49:35.610478Z"},"content_sha256":"eafa7a6304a934f3bafa440d4f999564cb25a075698f67b4d8712887926ef9cd","schema_version":"1.0","event_id":"sha256:eafa7a6304a934f3bafa440d4f999564cb25a075698f67b4d8712887926ef9cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TBDP6F3UNAUNNKOBY5SWYPVQSV/bundle.json","state_url":"https://pith.science/pith/TBDP6F3UNAUNNKOBY5SWYPVQSV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TBDP6F3UNAUNNKOBY5SWYPVQSV/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":"2026-06-26T00:49:35Z","links":{"resolver":"https://pith.science/pith/TBDP6F3UNAUNNKOBY5SWYPVQSV","bundle":"https://pith.science/pith/TBDP6F3UNAUNNKOBY5SWYPVQSV/bundle.json","state":"https://pith.science/pith/TBDP6F3UNAUNNKOBY5SWYPVQSV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TBDP6F3UNAUNNKOBY5SWYPVQSV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:TBDP6F3UNAUNNKOBY5SWYPVQSV","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":"e03df139cb2efd8ea03f06749e953fc517677c0ecdfacd1cccbaf54ed4d2ee7c","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-02-03T20:16:21Z","title_canon_sha256":"58af93b71973e89b3e691f911c0260ad5e072ef1917b2c56f8e10514a33c7bd0"},"schema_version":"1.0","source":{"id":"0902.0594","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.0594","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"0902.0594v1","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.0594","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"TBDP6F3UNAUN","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"TBDP6F3UNAUNNKOB","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"TBDP6F3U","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:eafa7a6304a934f3bafa440d4f999564cb25a075698f67b4d8712887926ef9cd","target":"graph","created_at":"2026-05-18T03:24:08Z","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 investigate the low temperature phase of three-dimensional Edwards-Anderson model with Bernoulli random couplings. We show that at a fixed value $Q$ of the overlap the model fulfills the clustering property: the connected correlation functions between two local overlaps decay as a power whose exponent is independent of $Q$ for all $0\\le |Q| < q_{EA}$. Our findings are in agreement with the RSB theory and show that the overlap is a good order parameter.","authors_text":"Cecilia Vernia, Claudio Giberti, Cristian Giardina, Giorgio Parisi, Pierluigi Contucci","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-02-03T20:16:21Z","title":"On the structure of correlations in the three dimensional spin glasses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.0594","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:f55ccabbf4d4928a451ea3507ae92e7a8ceb5c848ac8c59f9787e78b265b13b3","target":"record","created_at":"2026-05-18T03:24:08Z","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":"e03df139cb2efd8ea03f06749e953fc517677c0ecdfacd1cccbaf54ed4d2ee7c","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-02-03T20:16:21Z","title_canon_sha256":"58af93b71973e89b3e691f911c0260ad5e072ef1917b2c56f8e10514a33c7bd0"},"schema_version":"1.0","source":{"id":"0902.0594","kind":"arxiv","version":1}},"canonical_sha256":"9846ff17746828d6a9c1c7656c3eb0955e927ecc642fe2479c1856682717e66d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9846ff17746828d6a9c1c7656c3eb0955e927ecc642fe2479c1856682717e66d","first_computed_at":"2026-05-18T03:24:08.042896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:08.042896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O6hn0kqYQmFJ8DbdpGBXMVhR2RMHkWRUEJedmmY91wwSYwaWCr/KZSCK99T12DbXB357mWFPG0EZgxwpqrcTBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:08.043599Z","signed_message":"canonical_sha256_bytes"},"source_id":"0902.0594","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f55ccabbf4d4928a451ea3507ae92e7a8ceb5c848ac8c59f9787e78b265b13b3","sha256:eafa7a6304a934f3bafa440d4f999564cb25a075698f67b4d8712887926ef9cd"],"state_sha256":"085781679f572fb77b1fe79303491924431266ca4ed37e338e8239722d420844"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l5LVf4QimC0LCLNQCFfpBtDQ1yf5l5BzQrQd4DQ4KHTE/xoYpcCP71AnJqTFE4Go6i+EqHjf9h5XO2NA5t9lBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T00:49:35.612431Z","bundle_sha256":"42a59b286b6ceab9b25b3a2ec7b61df15b78016bf0a435fc41351d6a82f1f04b"}}