{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:DURDPFCAE7Q76P2CKKDGQNILZA","short_pith_number":"pith:DURDPFCA","canonical_record":{"source":{"id":"cond-mat/0506514","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2005-06-20T19:36:49Z","cross_cats_sorted":[],"title_canon_sha256":"ad43184d349a3446cb74e8700fd2663a9cdfad03b38df658415ed86f436fd437","abstract_canon_sha256":"94db5481d18aa9b22380e8236e07aea0adba5c9e544db9725bcf855051146540"},"schema_version":"1.0"},"canonical_sha256":"1d2237944027e1ff3f42528668350bc80f78bc875496b4dd238b414109a88f35","source":{"kind":"arxiv","id":"cond-mat/0506514","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0506514","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0506514v1","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0506514","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"pith_short_12","alias_value":"DURDPFCAE7Q7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"DURDPFCAE7Q76P2C","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"DURDPFCA","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:DURDPFCAE7Q76P2CKKDGQNILZA","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0506514","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2005-06-20T19:36:49Z","cross_cats_sorted":[],"title_canon_sha256":"ad43184d349a3446cb74e8700fd2663a9cdfad03b38df658415ed86f436fd437","abstract_canon_sha256":"94db5481d18aa9b22380e8236e07aea0adba5c9e544db9725bcf855051146540"},"schema_version":"1.0"},"canonical_sha256":"1d2237944027e1ff3f42528668350bc80f78bc875496b4dd238b414109a88f35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:31.978757Z","signature_b64":"oL6Rlni9jHBF4vA5DFIKuk40ytguhrFPLear1wAoopA8QA7A7yT3bOm+u5EHkfkjSHNL3BbmJl2WL3nr7XsoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d2237944027e1ff3f42528668350bc80f78bc875496b4dd238b414109a88f35","last_reissued_at":"2026-05-18T03:24:31.978380Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:31.978380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0506514","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":"2026-05-18T03:24:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MzF9MZd/L7Kfn4EjVIs45kjNCGRCZ5KsJDYMOc8pN9H0K9JaNnS9JP7PVC4CHXZcXFRk9oprtKf3G9d7cNYGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:10:31.144011Z"},"content_sha256":"488096b76cab08a8a482ceefef46747b8e9a8669c076f59e07ca7ae7b35562c0","schema_version":"1.0","event_id":"sha256:488096b76cab08a8a482ceefef46747b8e9a8669c076f59e07ca7ae7b35562c0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:DURDPFCAE7Q76P2CKKDGQNILZA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On exact mappings between fermionic Ising spin glass and classical spin glass models","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"David Sherrington, Isaac P\\'erez Castillo","submitted_at":"2005-06-20T19:36:49Z","abstract_excerpt":"We present in this paper exact analytical expressions for the thermodynamical properties and Green functions of a certain family of fermionic Ising spin-glass models with Hubbard interaction, by noticing that their Hamiltonian is a function of the number operator only. The thermodynamical properties are mapped to the classical Ghatak-Sherrington spin-glass model while the the Density of States (DoS) is related to its joint spin-field distribution. We discuss the presence of the pseudogap in the DoS with the help of this mapping."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0506514","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":"2026-05-18T03:24:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZJYM05RO5zinBALycS5Xe1171Ze3tW902kS+ZYl0qDablHUATOt5ZAO2FSjRQF3YDfQnKcuw/kWI0VjT5GXjCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:10:31.144686Z"},"content_sha256":"59cfe93d357d58f73a0701472dafb993cf62234705b7cbd514f8422c20b56b6d","schema_version":"1.0","event_id":"sha256:59cfe93d357d58f73a0701472dafb993cf62234705b7cbd514f8422c20b56b6d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DURDPFCAE7Q76P2CKKDGQNILZA/bundle.json","state_url":"https://pith.science/pith/DURDPFCAE7Q76P2CKKDGQNILZA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DURDPFCAE7Q76P2CKKDGQNILZA/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":"2026-05-25T23:10:31Z","links":{"resolver":"https://pith.science/pith/DURDPFCAE7Q76P2CKKDGQNILZA","bundle":"https://pith.science/pith/DURDPFCAE7Q76P2CKKDGQNILZA/bundle.json","state":"https://pith.science/pith/DURDPFCAE7Q76P2CKKDGQNILZA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DURDPFCAE7Q76P2CKKDGQNILZA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:DURDPFCAE7Q76P2CKKDGQNILZA","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":"94db5481d18aa9b22380e8236e07aea0adba5c9e544db9725bcf855051146540","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2005-06-20T19:36:49Z","title_canon_sha256":"ad43184d349a3446cb74e8700fd2663a9cdfad03b38df658415ed86f436fd437"},"schema_version":"1.0","source":{"id":"cond-mat/0506514","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0506514","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0506514v1","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0506514","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"pith_short_12","alias_value":"DURDPFCAE7Q7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"DURDPFCAE7Q76P2C","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"DURDPFCA","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:59cfe93d357d58f73a0701472dafb993cf62234705b7cbd514f8422c20b56b6d","target":"graph","created_at":"2026-05-18T03:24:31Z","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 present in this paper exact analytical expressions for the thermodynamical properties and Green functions of a certain family of fermionic Ising spin-glass models with Hubbard interaction, by noticing that their Hamiltonian is a function of the number operator only. The thermodynamical properties are mapped to the classical Ghatak-Sherrington spin-glass model while the the Density of States (DoS) is related to its joint spin-field distribution. We discuss the presence of the pseudogap in the DoS with the help of this mapping.","authors_text":"David Sherrington, Isaac P\\'erez Castillo","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2005-06-20T19:36:49Z","title":"On exact mappings between fermionic Ising spin glass and classical spin glass models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0506514","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":"sha256:488096b76cab08a8a482ceefef46747b8e9a8669c076f59e07ca7ae7b35562c0","target":"record","created_at":"2026-05-18T03:24:31Z","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":"94db5481d18aa9b22380e8236e07aea0adba5c9e544db9725bcf855051146540","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2005-06-20T19:36:49Z","title_canon_sha256":"ad43184d349a3446cb74e8700fd2663a9cdfad03b38df658415ed86f436fd437"},"schema_version":"1.0","source":{"id":"cond-mat/0506514","kind":"arxiv","version":1}},"canonical_sha256":"1d2237944027e1ff3f42528668350bc80f78bc875496b4dd238b414109a88f35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d2237944027e1ff3f42528668350bc80f78bc875496b4dd238b414109a88f35","first_computed_at":"2026-05-18T03:24:31.978380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:31.978380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oL6Rlni9jHBF4vA5DFIKuk40ytguhrFPLear1wAoopA8QA7A7yT3bOm+u5EHkfkjSHNL3BbmJl2WL3nr7XsoDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:31.978757Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0506514","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:488096b76cab08a8a482ceefef46747b8e9a8669c076f59e07ca7ae7b35562c0","sha256:59cfe93d357d58f73a0701472dafb993cf62234705b7cbd514f8422c20b56b6d"],"state_sha256":"35dad8ce60c14f9688f328d85f8e39fb31b841ec554d840d441d87075703cd84"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cgEUEq3ll2KW2Thkosk91no3Brlh5c73OCB6YthWG9wkGvkyitpM6f+LAofgehHuvV6ZPBufBvfFA/dkX4jGAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:10:31.148168Z","bundle_sha256":"8b01b54e7b3f98a32f6ec310364b81a903709f94476fb6027e466a942f93678f"}}