{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:A7M4P2PUHIE55MXWQSD3AKMNNP","short_pith_number":"pith:A7M4P2PU","canonical_record":{"source":{"id":"cond-mat/0111327","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2001-11-19T08:09:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c61c8de664878311f95a8f9246668445495a19d3ffc82f1c084735ae996fa362","abstract_canon_sha256":"369ad40b3e4339cfa2a3fc13058f3a25ad12c2b4cec10317513de8f1ab49097f"},"schema_version":"1.0"},"canonical_sha256":"07d9c7e9f43a09deb2f68487b0298d6bd9427c5ea1d6c4b2025defe877369b28","source":{"kind":"arxiv","id":"cond-mat/0111327","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0111327","created_at":"2026-05-18T02:40:24Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0111327v2","created_at":"2026-05-18T02:40:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0111327","created_at":"2026-05-18T02:40:24Z"},{"alias_kind":"pith_short_12","alias_value":"A7M4P2PUHIE5","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"A7M4P2PUHIE55MXW","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"A7M4P2PU","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:A7M4P2PUHIE55MXWQSD3AKMNNP","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0111327","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2001-11-19T08:09:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c61c8de664878311f95a8f9246668445495a19d3ffc82f1c084735ae996fa362","abstract_canon_sha256":"369ad40b3e4339cfa2a3fc13058f3a25ad12c2b4cec10317513de8f1ab49097f"},"schema_version":"1.0"},"canonical_sha256":"07d9c7e9f43a09deb2f68487b0298d6bd9427c5ea1d6c4b2025defe877369b28","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:24.695291Z","signature_b64":"nSQkev8QcchaGn76lZflvtGsWo3Pg9b12k9Io95d3srbNOUQIEiPcFVQhC5sHnR4Qp+Yd3/qtSk69ySFJ0SAAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07d9c7e9f43a09deb2f68487b0298d6bd9427c5ea1d6c4b2025defe877369b28","last_reissued_at":"2026-05-18T02:40:24.694858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:24.694858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0111327","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":"2026-05-18T02:40:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P6p8SLAukGYW75dO6/zvnGfqqytHI1amcJWepc8ud5ghJNcVEDg+EblSieNPZR4bkpP5r+h+A4pQ3508B39mAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T23:07:15.735999Z"},"content_sha256":"988106f8bec275fee76563f0fa268a01e6344de65c0348d845d6670b7bd8890e","schema_version":"1.0","event_id":"sha256:988106f8bec275fee76563f0fa268a01e6344de65c0348d845d6670b7bd8890e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:A7M4P2PUHIE55MXWQSD3AKMNNP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Disordered Systems and Logarithmic Conformal Field Theory","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat","authors_text":"M. Reza Rahimi Tabar","submitted_at":"2001-11-19T08:09:32Z","abstract_excerpt":"We review a recent development in theoretical understanding of the quenched averaged correlation functions of disordered systems and the logarithmic conformal field theory (LCFT) in d-dimensions. The logarithmic conformal field theory is the generalization of the conformal field theory when the dilatation operator is not diagonal and has the Jordan form. It is discussed that at the random fixed point the disordered systems such as random-bond Ising model, Polymer chain, etc. are described by LCFT and their correlation functions have logarithmic singularities. As an example we will discuss in d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0111327","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":""},"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":"2026-05-18T02:40:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/vKjniCohd9ojY8ymTUzWe02xQy8YtvMPNK//0lgoitTVl3FZ2i/l2qg11Ih2SrmN4pTAVLCPbsvcG0rzbJxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T23:07:15.736916Z"},"content_sha256":"0683b3031e093d1c495ea4ae0748bd959b8bc8d5d2ca3b43a278cbf0c5d51905","schema_version":"1.0","event_id":"sha256:0683b3031e093d1c495ea4ae0748bd959b8bc8d5d2ca3b43a278cbf0c5d51905"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A7M4P2PUHIE55MXWQSD3AKMNNP/bundle.json","state_url":"https://pith.science/pith/A7M4P2PUHIE55MXWQSD3AKMNNP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A7M4P2PUHIE55MXWQSD3AKMNNP/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":"2026-08-13T23:07:15Z","links":{"resolver":"https://pith.science/pith/A7M4P2PUHIE55MXWQSD3AKMNNP","bundle":"https://pith.science/pith/A7M4P2PUHIE55MXWQSD3AKMNNP/bundle.json","state":"https://pith.science/pith/A7M4P2PUHIE55MXWQSD3AKMNNP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A7M4P2PUHIE55MXWQSD3AKMNNP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:A7M4P2PUHIE55MXWQSD3AKMNNP","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":"369ad40b3e4339cfa2a3fc13058f3a25ad12c2b4cec10317513de8f1ab49097f","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"cond-mat","submitted_at":"2001-11-19T08:09:32Z","title_canon_sha256":"c61c8de664878311f95a8f9246668445495a19d3ffc82f1c084735ae996fa362"},"schema_version":"1.0","source":{"id":"cond-mat/0111327","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0111327","created_at":"2026-05-18T02:40:24Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0111327v2","created_at":"2026-05-18T02:40:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0111327","created_at":"2026-05-18T02:40:24Z"},{"alias_kind":"pith_short_12","alias_value":"A7M4P2PUHIE5","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"A7M4P2PUHIE55MXW","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"A7M4P2PU","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:0683b3031e093d1c495ea4ae0748bd959b8bc8d5d2ca3b43a278cbf0c5d51905","target":"graph","created_at":"2026-05-18T02:40:24Z","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 review a recent development in theoretical understanding of the quenched averaged correlation functions of disordered systems and the logarithmic conformal field theory (LCFT) in d-dimensions. The logarithmic conformal field theory is the generalization of the conformal field theory when the dilatation operator is not diagonal and has the Jordan form. It is discussed that at the random fixed point the disordered systems such as random-bond Ising model, Polymer chain, etc. are described by LCFT and their correlation functions have logarithmic singularities. As an example we will discuss in d","authors_text":"M. Reza Rahimi Tabar","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"2001-11-19T08:09:32Z","title":"Disordered Systems and Logarithmic Conformal Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0111327","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":"sha256:988106f8bec275fee76563f0fa268a01e6344de65c0348d845d6670b7bd8890e","target":"record","created_at":"2026-05-18T02:40:24Z","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":"369ad40b3e4339cfa2a3fc13058f3a25ad12c2b4cec10317513de8f1ab49097f","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"cond-mat","submitted_at":"2001-11-19T08:09:32Z","title_canon_sha256":"c61c8de664878311f95a8f9246668445495a19d3ffc82f1c084735ae996fa362"},"schema_version":"1.0","source":{"id":"cond-mat/0111327","kind":"arxiv","version":2}},"canonical_sha256":"07d9c7e9f43a09deb2f68487b0298d6bd9427c5ea1d6c4b2025defe877369b28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07d9c7e9f43a09deb2f68487b0298d6bd9427c5ea1d6c4b2025defe877369b28","first_computed_at":"2026-05-18T02:40:24.694858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:24.694858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nSQkev8QcchaGn76lZflvtGsWo3Pg9b12k9Io95d3srbNOUQIEiPcFVQhC5sHnR4Qp+Yd3/qtSk69ySFJ0SAAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:24.695291Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0111327","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:988106f8bec275fee76563f0fa268a01e6344de65c0348d845d6670b7bd8890e","sha256:0683b3031e093d1c495ea4ae0748bd959b8bc8d5d2ca3b43a278cbf0c5d51905"],"state_sha256":"44464b2ec7a1f648beedced20cb862a92f423c4456c83fec9edc1952fee38f8c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zSjGgVskRZKYU4rEDhsoyvoxLGW1tZJ5hmN2cYfd/uWkdgrOl9+uAiINx3y/ONcXKFYXIlZMfWXSRC22kcTMBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T23:07:15.778121Z","bundle_sha256":"6da6af72727f44214a6c7c982f2855aebd3571fb7389e41a437c54c59252dcee"}}