{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2GVZHS7GEK7B5C7U3FNWZS6VAM","short_pith_number":"pith:2GVZHS7G","canonical_record":{"source":{"id":"1706.08899","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-06-27T14:55:54Z","cross_cats_sorted":["cond-mat.soft","cond-mat.stat-mech"],"title_canon_sha256":"4b947b7c8d49415e256525ce6ba3f784d73bcd7a4ab328bf95a7f04d4dc7e373","abstract_canon_sha256":"c7e731625d8acbf43397722a5bc8443d8df3e90da6acf109fae74319c1de8e45"},"schema_version":"1.0"},"canonical_sha256":"d1ab93cbe622be1e8bf4d95b6ccbd5032cb281da1ab2cdb599d1956610df0c8b","source":{"kind":"arxiv","id":"1706.08899","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08899","created_at":"2026-05-18T00:41:30Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08899v1","created_at":"2026-05-18T00:41:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08899","created_at":"2026-05-18T00:41:30Z"},{"alias_kind":"pith_short_12","alias_value":"2GVZHS7GEK7B","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2GVZHS7GEK7B5C7U","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2GVZHS7G","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2GVZHS7GEK7B5C7U3FNWZS6VAM","target":"record","payload":{"canonical_record":{"source":{"id":"1706.08899","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-06-27T14:55:54Z","cross_cats_sorted":["cond-mat.soft","cond-mat.stat-mech"],"title_canon_sha256":"4b947b7c8d49415e256525ce6ba3f784d73bcd7a4ab328bf95a7f04d4dc7e373","abstract_canon_sha256":"c7e731625d8acbf43397722a5bc8443d8df3e90da6acf109fae74319c1de8e45"},"schema_version":"1.0"},"canonical_sha256":"d1ab93cbe622be1e8bf4d95b6ccbd5032cb281da1ab2cdb599d1956610df0c8b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:30.645706Z","signature_b64":"ymd7/6sHgeh0BI6Ep0LM1BXX1SLIY7BK80jUtxFnzRMN4hmTht26WCQhTEn7/O4i++JcQPEO1uaiamGiz2SMDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1ab93cbe622be1e8bf4d95b6ccbd5032cb281da1ab2cdb599d1956610df0c8b","last_reissued_at":"2026-05-18T00:41:30.644987Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:30.644987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.08899","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":"2026-05-18T00:41:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L35d5AgrZaOL38a1ViLaD4LKCJFC8W7C30k9g3OAlhuW6+och0Q+ZHYZdHKbfl4r+9Jk5Q/4LrHm73Gc7m2aCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T02:32:10.431161Z"},"content_sha256":"a9e57e37cd440a5ee9f754e83776c0fbd5c73bdc22f41226c4037694e91af3ed","schema_version":"1.0","event_id":"sha256:a9e57e37cd440a5ee9f754e83776c0fbd5c73bdc22f41226c4037694e91af3ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2GVZHS7GEK7B5C7U3FNWZS6VAM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical properties of disordered XY model on sparse random graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Cosimo Lupo","submitted_at":"2017-06-27T14:55:54Z","abstract_excerpt":"This thesis focuses on the XY model, the simplest vector spin model, used for describing numerous physical systems. It is studied for different sources of quenched disorder: random couplings, random fields, or both them. The belief propagation algorithm and the cavity method are exploited to solve the model on the sparse topology provided by Bethe lattices. It is found that the discretized version of the XY model, the so-called $Q$-state clock model, provides a reliable and efficient proxy for the continuous model with an error going to zero exponentially in $Q$, so implying a remarkable speed"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08899","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":"2026-05-18T00:41:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vAoLCPTa8UZNSQy2+9v+JP/DXZ27ItExOzaIZmVPmLHcHr+fQO+8mSDO5efieF2AGwnoyXgI9+qAIKCKaSJQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T02:32:10.431510Z"},"content_sha256":"1a9f345efd106d5bfb77e9adc1b6bf3f41453e44c21537a235bedaa0b7303f56","schema_version":"1.0","event_id":"sha256:1a9f345efd106d5bfb77e9adc1b6bf3f41453e44c21537a235bedaa0b7303f56"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2GVZHS7GEK7B5C7U3FNWZS6VAM/bundle.json","state_url":"https://pith.science/pith/2GVZHS7GEK7B5C7U3FNWZS6VAM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2GVZHS7GEK7B5C7U3FNWZS6VAM/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":"2026-07-01T02:32:10Z","links":{"resolver":"https://pith.science/pith/2GVZHS7GEK7B5C7U3FNWZS6VAM","bundle":"https://pith.science/pith/2GVZHS7GEK7B5C7U3FNWZS6VAM/bundle.json","state":"https://pith.science/pith/2GVZHS7GEK7B5C7U3FNWZS6VAM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2GVZHS7GEK7B5C7U3FNWZS6VAM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2GVZHS7GEK7B5C7U3FNWZS6VAM","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":"c7e731625d8acbf43397722a5bc8443d8df3e90da6acf109fae74319c1de8e45","cross_cats_sorted":["cond-mat.soft","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-06-27T14:55:54Z","title_canon_sha256":"4b947b7c8d49415e256525ce6ba3f784d73bcd7a4ab328bf95a7f04d4dc7e373"},"schema_version":"1.0","source":{"id":"1706.08899","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08899","created_at":"2026-05-18T00:41:30Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08899v1","created_at":"2026-05-18T00:41:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08899","created_at":"2026-05-18T00:41:30Z"},{"alias_kind":"pith_short_12","alias_value":"2GVZHS7GEK7B","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2GVZHS7GEK7B5C7U","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2GVZHS7G","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:1a9f345efd106d5bfb77e9adc1b6bf3f41453e44c21537a235bedaa0b7303f56","target":"graph","created_at":"2026-05-18T00:41:30Z","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":"This thesis focuses on the XY model, the simplest vector spin model, used for describing numerous physical systems. It is studied for different sources of quenched disorder: random couplings, random fields, or both them. The belief propagation algorithm and the cavity method are exploited to solve the model on the sparse topology provided by Bethe lattices. It is found that the discretized version of the XY model, the so-called $Q$-state clock model, provides a reliable and efficient proxy for the continuous model with an error going to zero exponentially in $Q$, so implying a remarkable speed","authors_text":"Cosimo Lupo","cross_cats":["cond-mat.soft","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-06-27T14:55:54Z","title":"Critical properties of disordered XY model on sparse random graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08899","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:a9e57e37cd440a5ee9f754e83776c0fbd5c73bdc22f41226c4037694e91af3ed","target":"record","created_at":"2026-05-18T00:41:30Z","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":"c7e731625d8acbf43397722a5bc8443d8df3e90da6acf109fae74319c1de8e45","cross_cats_sorted":["cond-mat.soft","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-06-27T14:55:54Z","title_canon_sha256":"4b947b7c8d49415e256525ce6ba3f784d73bcd7a4ab328bf95a7f04d4dc7e373"},"schema_version":"1.0","source":{"id":"1706.08899","kind":"arxiv","version":1}},"canonical_sha256":"d1ab93cbe622be1e8bf4d95b6ccbd5032cb281da1ab2cdb599d1956610df0c8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1ab93cbe622be1e8bf4d95b6ccbd5032cb281da1ab2cdb599d1956610df0c8b","first_computed_at":"2026-05-18T00:41:30.644987Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:30.644987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ymd7/6sHgeh0BI6Ep0LM1BXX1SLIY7BK80jUtxFnzRMN4hmTht26WCQhTEn7/O4i++JcQPEO1uaiamGiz2SMDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:30.645706Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.08899","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9e57e37cd440a5ee9f754e83776c0fbd5c73bdc22f41226c4037694e91af3ed","sha256:1a9f345efd106d5bfb77e9adc1b6bf3f41453e44c21537a235bedaa0b7303f56"],"state_sha256":"5a3045deb2ffb6faa8b0f0ac5c0d5c994686399c29e5603a581ce8ececcdf0fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hX9BfOoS2DshxX+hrha9Ps56AuH3hMH5EqL+/8K8/kJGbzw7O6UX8IJaFPjnZLEHBw7QvYwqeMFu0L00+w1XDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T02:32:10.433310Z","bundle_sha256":"ab4c401ccee7b6353fc82333e9fd130d3aaa9c7f4bc1df53f7e50dfacd2ca888"}}