{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:3JWBWMBP76UNL4FIQOUOCYNYAR","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":"e48a96b6d434b89f4b904c67bfc7103cffa06d9cf63137f6173eb847c769f1c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-31T21:00:24Z","title_canon_sha256":"5af5ab8ef2c8e53b7700f74e574a4316cada6231469165c337ecdaec820b9930"},"schema_version":"1.0","source":{"id":"2506.00709","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.00709","created_at":"2026-07-05T11:13:39Z"},{"alias_kind":"arxiv_version","alias_value":"2506.00709v1","created_at":"2026-07-05T11:13:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00709","created_at":"2026-07-05T11:13:39Z"},{"alias_kind":"pith_short_12","alias_value":"3JWBWMBP76UN","created_at":"2026-07-05T11:13:39Z"},{"alias_kind":"pith_short_16","alias_value":"3JWBWMBP76UNL4FI","created_at":"2026-07-05T11:13:39Z"},{"alias_kind":"pith_short_8","alias_value":"3JWBWMBP","created_at":"2026-07-05T11:13:39Z"}],"graph_snapshots":[{"event_id":"sha256:ff4c53f5c155aabc83162c4f7fd68d6c2be7050cbc0935d1c63a387adf26b642","target":"graph","created_at":"2026-07-05T11:13:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.00709/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we present the solutions of the Dirac-Weyl equation for graphene under a constant magnetic field. The resulting spectrum is used to determine the partition function, a key quantity in the study of thermodynamic properties. From this function, we analyze the mean energy, specific heat, entropy, and free energy in two different frameworks: the canonical ensemble and the superstatistical approach. The study confirms the relativistic nature of electron transport in graphene under a magnetic field. It also reveals that fluctuations introduce additional disorder in the system. The obt","authors_text":"Boukari Amidou, Daniel S. Takou, Finagnon A. Dossa, Gabriel Y. H. Avossevou, Guingarey Issoufou, Yarou M. Assimiou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-31T21:00:24Z","title":"Thermodynamic Properties and Superstatistics of Graphene under a Constant Magnetic Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00709","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:b940015ac54bd353e81878143eeb6c3ff6e8df2d274b828af877fb6a53bc1232","target":"record","created_at":"2026-07-05T11:13:39Z","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":"e48a96b6d434b89f4b904c67bfc7103cffa06d9cf63137f6173eb847c769f1c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-31T21:00:24Z","title_canon_sha256":"5af5ab8ef2c8e53b7700f74e574a4316cada6231469165c337ecdaec820b9930"},"schema_version":"1.0","source":{"id":"2506.00709","kind":"arxiv","version":1}},"canonical_sha256":"da6c1b302fffa8d5f0a883a8e161b804493c2b1431be41ba9783bb6ae93e9d92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da6c1b302fffa8d5f0a883a8e161b804493c2b1431be41ba9783bb6ae93e9d92","first_computed_at":"2026-07-05T11:13:39.094908Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:13:39.094908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t+BY+UWvjjrzq4aIAZXjTX4vHxljqPgu6Fb0CnvxoY00/re3II9m1VciAVz8DNn52X+oXOJbwGRrZ5/Fg8SCDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:13:39.095432Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.00709","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b940015ac54bd353e81878143eeb6c3ff6e8df2d274b828af877fb6a53bc1232","sha256:ff4c53f5c155aabc83162c4f7fd68d6c2be7050cbc0935d1c63a387adf26b642"],"state_sha256":"4390db4d35e6040ba58d00b07511a74783374bcbee7171c192bcc2f13e0e759f"}