{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OG7OG2CUAHLROCXSDIU3A7HL3Z","short_pith_number":"pith:OG7OG2CU","canonical_record":{"source":{"id":"1009.5751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-29T02:17:00Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"0d57c19c9ad61627d772aed98276bea5aa1c4cba9c08122df900ed58ab5b6a91","abstract_canon_sha256":"833bd10d6ffad80cba43ece2fc3c8580aaff83a046f30c947b9d7492396ea4c6"},"schema_version":"1.0"},"canonical_sha256":"71bee3685401d7170af21a29b07cebde6de52a10b207dec4db7e5282a1609d8f","source":{"kind":"arxiv","id":"1009.5751","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5751","created_at":"2026-05-18T01:23:31Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5751v1","created_at":"2026-05-18T01:23:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5751","created_at":"2026-05-18T01:23:31Z"},{"alias_kind":"pith_short_12","alias_value":"OG7OG2CUAHLR","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OG7OG2CUAHLROCXS","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OG7OG2CU","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OG7OG2CUAHLROCXSDIU3A7HL3Z","target":"record","payload":{"canonical_record":{"source":{"id":"1009.5751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-29T02:17:00Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"0d57c19c9ad61627d772aed98276bea5aa1c4cba9c08122df900ed58ab5b6a91","abstract_canon_sha256":"833bd10d6ffad80cba43ece2fc3c8580aaff83a046f30c947b9d7492396ea4c6"},"schema_version":"1.0"},"canonical_sha256":"71bee3685401d7170af21a29b07cebde6de52a10b207dec4db7e5282a1609d8f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:31.814187Z","signature_b64":"0ecolGcUpd30mcFvmrTlX6Tb0f4IfgjzBZoSiyOdJs+qXCCh7Ow19e8IfnzSS/qTvhi4f+Hm+b5Y0r2WeiRxAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71bee3685401d7170af21a29b07cebde6de52a10b207dec4db7e5282a1609d8f","last_reissued_at":"2026-05-18T01:23:31.813702Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:31.813702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.5751","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":"2026-05-18T01:23:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FL9QZ3VkOygQlR1qt6Tau7+nGf6MkjdOWwONaUhnYFVh5P5n3nvFwpqqMFvEJSRh8zzzxCJC7tgIw19blVgnCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:47:43.274915Z"},"content_sha256":"964f0c341d606e96b5aa82c77427530ea58c6643f16c0449a129268aea0dd043","schema_version":"1.0","event_id":"sha256:964f0c341d606e96b5aa82c77427530ea58c6643f16c0449a129268aea0dd043"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OG7OG2CUAHLROCXSDIU3A7HL3Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractality of Hofstadter Butterfly in Specific Heat Oscillation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.str-el","authors_text":"L. P. Yang, M. P. Qin, T. Xiang, W. H. Xu","submitted_at":"2010-09-29T02:17:00Z","abstract_excerpt":"We calculate thermodynamical properties of the Hofstadter model using a recently developed quantum transfer matrix method. We find intrinsic oscillation features in specific heat that manifest the fractal structure of the Hofstadter butterfly. We also propose experimental approaches which use specific heat as an access to detect the Hofstadter butterfly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5751","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":"2026-05-18T01:23:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KgOX/iieWtgBGZ+rMBHUnxUM0CxwA0NCn1Wu8OeLelqXD6jsRjpg74gjBQoIEl7JnVg4Hm6SznMY5wzFjn74DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:47:43.275279Z"},"content_sha256":"e423fac07d471008a4aeb789555ef89b57b25bb80597ddccfefe506077023601","schema_version":"1.0","event_id":"sha256:e423fac07d471008a4aeb789555ef89b57b25bb80597ddccfefe506077023601"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OG7OG2CUAHLROCXSDIU3A7HL3Z/bundle.json","state_url":"https://pith.science/pith/OG7OG2CUAHLROCXSDIU3A7HL3Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OG7OG2CUAHLROCXSDIU3A7HL3Z/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":"2026-06-01T06:47:43Z","links":{"resolver":"https://pith.science/pith/OG7OG2CUAHLROCXSDIU3A7HL3Z","bundle":"https://pith.science/pith/OG7OG2CUAHLROCXSDIU3A7HL3Z/bundle.json","state":"https://pith.science/pith/OG7OG2CUAHLROCXSDIU3A7HL3Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OG7OG2CUAHLROCXSDIU3A7HL3Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OG7OG2CUAHLROCXSDIU3A7HL3Z","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":"833bd10d6ffad80cba43ece2fc3c8580aaff83a046f30c947b9d7492396ea4c6","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-29T02:17:00Z","title_canon_sha256":"0d57c19c9ad61627d772aed98276bea5aa1c4cba9c08122df900ed58ab5b6a91"},"schema_version":"1.0","source":{"id":"1009.5751","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5751","created_at":"2026-05-18T01:23:31Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5751v1","created_at":"2026-05-18T01:23:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5751","created_at":"2026-05-18T01:23:31Z"},{"alias_kind":"pith_short_12","alias_value":"OG7OG2CUAHLR","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OG7OG2CUAHLROCXS","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OG7OG2CU","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:e423fac07d471008a4aeb789555ef89b57b25bb80597ddccfefe506077023601","target":"graph","created_at":"2026-05-18T01:23:31Z","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 calculate thermodynamical properties of the Hofstadter model using a recently developed quantum transfer matrix method. We find intrinsic oscillation features in specific heat that manifest the fractal structure of the Hofstadter butterfly. We also propose experimental approaches which use specific heat as an access to detect the Hofstadter butterfly.","authors_text":"L. P. Yang, M. P. Qin, T. Xiang, W. H. Xu","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-29T02:17:00Z","title":"Fractality of Hofstadter Butterfly in Specific Heat Oscillation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5751","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":"sha256:964f0c341d606e96b5aa82c77427530ea58c6643f16c0449a129268aea0dd043","target":"record","created_at":"2026-05-18T01:23:31Z","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":"833bd10d6ffad80cba43ece2fc3c8580aaff83a046f30c947b9d7492396ea4c6","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-29T02:17:00Z","title_canon_sha256":"0d57c19c9ad61627d772aed98276bea5aa1c4cba9c08122df900ed58ab5b6a91"},"schema_version":"1.0","source":{"id":"1009.5751","kind":"arxiv","version":1}},"canonical_sha256":"71bee3685401d7170af21a29b07cebde6de52a10b207dec4db7e5282a1609d8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71bee3685401d7170af21a29b07cebde6de52a10b207dec4db7e5282a1609d8f","first_computed_at":"2026-05-18T01:23:31.813702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:31.813702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0ecolGcUpd30mcFvmrTlX6Tb0f4IfgjzBZoSiyOdJs+qXCCh7Ow19e8IfnzSS/qTvhi4f+Hm+b5Y0r2WeiRxAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:31.814187Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.5751","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:964f0c341d606e96b5aa82c77427530ea58c6643f16c0449a129268aea0dd043","sha256:e423fac07d471008a4aeb789555ef89b57b25bb80597ddccfefe506077023601"],"state_sha256":"4382d3673e77faca20687ce43fc779c4cb709738e7e1d2e035dc1cb23666ce5e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"72kear0kmsFMOjJP/sw1lOZshrly4M46t9CiokDJhQZc2oJcLdBgffrDf9wcTpqJXOEpQm4p8vmrrJuf4NvKAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T06:47:43.277641Z","bundle_sha256":"2e7930a7b30a9a5cbf4f032125b0e3f6ed7b6c25d11ff238be18c9b940ef3760"}}