{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:FCCAVVZZ5HTJS6XVGC5PZPPLHC","short_pith_number":"pith:FCCAVVZZ","canonical_record":{"source":{"id":"1011.3337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-11-15T10:46:20Z","cross_cats_sorted":["cond-mat.other","cond-mat.stat-mech"],"title_canon_sha256":"21489632fcfd2e309c2a71442785a3a50cf67f962f5bb58c6dc9de81bf12664f","abstract_canon_sha256":"80a6cefd9c9b791abfa2b6bfdfe9d987c0a1d8ff51c98d743998e9f71c8fa397"},"schema_version":"1.0"},"canonical_sha256":"28840ad739e9e6997af530bafcbdeb38963b6ef34acfca4d487e253c5dd08a4b","source":{"kind":"arxiv","id":"1011.3337","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3337","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3337v1","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3337","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"FCCAVVZZ5HTJ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"FCCAVVZZ5HTJS6XV","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"FCCAVVZZ","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:FCCAVVZZ5HTJS6XVGC5PZPPLHC","target":"record","payload":{"canonical_record":{"source":{"id":"1011.3337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-11-15T10:46:20Z","cross_cats_sorted":["cond-mat.other","cond-mat.stat-mech"],"title_canon_sha256":"21489632fcfd2e309c2a71442785a3a50cf67f962f5bb58c6dc9de81bf12664f","abstract_canon_sha256":"80a6cefd9c9b791abfa2b6bfdfe9d987c0a1d8ff51c98d743998e9f71c8fa397"},"schema_version":"1.0"},"canonical_sha256":"28840ad739e9e6997af530bafcbdeb38963b6ef34acfca4d487e253c5dd08a4b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:56.107731Z","signature_b64":"uWZ5fXn+U2uHcHkcRZdkTSFo2NYbet2VVovWhBRPBZoOAA/pLaePGmkZQB7ucv7yT9y1vP+T3AoU/61Tx9kfDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28840ad739e9e6997af530bafcbdeb38963b6ef34acfca4d487e253c5dd08a4b","last_reissued_at":"2026-05-18T04:35:56.107222Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:56.107222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.3337","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":"2026-05-18T04:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QsGHYUIhimCecNEvggSvXE3tGBrE/iPWVAKRylSoEwwFBlXHsRAz7FUbPeMxRr78DvSJsMoi2x/RFyNKsKruDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:41:50.045259Z"},"content_sha256":"7600dedee2465c1a5518a617bfd0212a908357c681fc928a64ded530310146cb","schema_version":"1.0","event_id":"sha256:7600dedee2465c1a5518a617bfd0212a908357c681fc928a64ded530310146cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:FCCAVVZZ5HTJS6XVGC5PZPPLHC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fat-tailed and compact random-field Ising models on cubic lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Nuno Crokidakis, Silvio M. Duarte Queiros","submitted_at":"2010-11-15T10:46:20Z","abstract_excerpt":"Using a single functional form which is able to represent several different classes of statistical distributions, we introduce a preliminary study of the ferromagnetic Ising model on the cubic lattices under the influence of non-Gaussian local external magnetic field. Specifically, depending on the value of the tail parameter, $\\tau $ ($\\tau < 3$), we assign a quenched random field that can be platykurtic (sub-Gaussian) or leptokurtic (fat-tailed) form. For $\\tau< 5/3$, such distributions have finite standard deviation and they are either the Student-$t$ ($1< \\tau< 5/3$) or the $r$-distributio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3337","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":"2026-05-18T04:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UFgsS7p+NURB4ZiW2Ucb7sxLj/0ML0qKGgo9dUFAg9hsRmPwubyNaJUqCUB43pU8fFF086VIc2JCUHLLh14IAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:41:50.045951Z"},"content_sha256":"a4e2ee386eebbbc63c614fb961527f86ef76820628accbfc06abaab06876c1d2","schema_version":"1.0","event_id":"sha256:a4e2ee386eebbbc63c614fb961527f86ef76820628accbfc06abaab06876c1d2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FCCAVVZZ5HTJS6XVGC5PZPPLHC/bundle.json","state_url":"https://pith.science/pith/FCCAVVZZ5HTJS6XVGC5PZPPLHC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FCCAVVZZ5HTJS6XVGC5PZPPLHC/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":"2026-05-27T21:41:50Z","links":{"resolver":"https://pith.science/pith/FCCAVVZZ5HTJS6XVGC5PZPPLHC","bundle":"https://pith.science/pith/FCCAVVZZ5HTJS6XVGC5PZPPLHC/bundle.json","state":"https://pith.science/pith/FCCAVVZZ5HTJS6XVGC5PZPPLHC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FCCAVVZZ5HTJS6XVGC5PZPPLHC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FCCAVVZZ5HTJS6XVGC5PZPPLHC","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":"80a6cefd9c9b791abfa2b6bfdfe9d987c0a1d8ff51c98d743998e9f71c8fa397","cross_cats_sorted":["cond-mat.other","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-11-15T10:46:20Z","title_canon_sha256":"21489632fcfd2e309c2a71442785a3a50cf67f962f5bb58c6dc9de81bf12664f"},"schema_version":"1.0","source":{"id":"1011.3337","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3337","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3337v1","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3337","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"FCCAVVZZ5HTJ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"FCCAVVZZ5HTJS6XV","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"FCCAVVZZ","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:a4e2ee386eebbbc63c614fb961527f86ef76820628accbfc06abaab06876c1d2","target":"graph","created_at":"2026-05-18T04:35:56Z","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":"Using a single functional form which is able to represent several different classes of statistical distributions, we introduce a preliminary study of the ferromagnetic Ising model on the cubic lattices under the influence of non-Gaussian local external magnetic field. Specifically, depending on the value of the tail parameter, $\\tau $ ($\\tau < 3$), we assign a quenched random field that can be platykurtic (sub-Gaussian) or leptokurtic (fat-tailed) form. For $\\tau< 5/3$, such distributions have finite standard deviation and they are either the Student-$t$ ($1< \\tau< 5/3$) or the $r$-distributio","authors_text":"Nuno Crokidakis, Silvio M. Duarte Queiros","cross_cats":["cond-mat.other","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-11-15T10:46:20Z","title":"Fat-tailed and compact random-field Ising models on cubic lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3337","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":"sha256:7600dedee2465c1a5518a617bfd0212a908357c681fc928a64ded530310146cb","target":"record","created_at":"2026-05-18T04:35:56Z","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":"80a6cefd9c9b791abfa2b6bfdfe9d987c0a1d8ff51c98d743998e9f71c8fa397","cross_cats_sorted":["cond-mat.other","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-11-15T10:46:20Z","title_canon_sha256":"21489632fcfd2e309c2a71442785a3a50cf67f962f5bb58c6dc9de81bf12664f"},"schema_version":"1.0","source":{"id":"1011.3337","kind":"arxiv","version":1}},"canonical_sha256":"28840ad739e9e6997af530bafcbdeb38963b6ef34acfca4d487e253c5dd08a4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28840ad739e9e6997af530bafcbdeb38963b6ef34acfca4d487e253c5dd08a4b","first_computed_at":"2026-05-18T04:35:56.107222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:56.107222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uWZ5fXn+U2uHcHkcRZdkTSFo2NYbet2VVovWhBRPBZoOAA/pLaePGmkZQB7ucv7yT9y1vP+T3AoU/61Tx9kfDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:56.107731Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.3337","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7600dedee2465c1a5518a617bfd0212a908357c681fc928a64ded530310146cb","sha256:a4e2ee386eebbbc63c614fb961527f86ef76820628accbfc06abaab06876c1d2"],"state_sha256":"5642893fe31a84e2951eadf89329eaa78009f36b72551f5dbe15a9c10e251a53"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+k7smKrSjSepq59GkSphvhtEhF3s7RQb3ZKQTruq4M6DQIUSkNJRfa4fUN+gyruOVIsr6i4x3VHdckEYELdPDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:41:50.049211Z","bundle_sha256":"7bc881f343fc076197b21ae5ca1f0deece30e21aa1e3eff01b951c5868afcd83"}}