{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DIKFR7IWQ2VMDKNRMEBG3DBFTH","short_pith_number":"pith:DIKFR7IW","canonical_record":{"source":{"id":"1311.5680","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-11-22T08:58:17Z","cross_cats_sorted":[],"title_canon_sha256":"ddc78d7a4b1f4ecdd5130023f62bb4da629ffda0a91018d647b13d80b5392044","abstract_canon_sha256":"054eb3af193bd2fb8f3dfd51a53e1055b2f2762a2bd86a46f06dd0d7d90e5d3f"},"schema_version":"1.0"},"canonical_sha256":"1a1458fd1686aac1a9b161026d8c2599d021bc340dd6d9914dcefc68ded3f2f6","source":{"kind":"arxiv","id":"1311.5680","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5680","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5680v1","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5680","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"pith_short_12","alias_value":"DIKFR7IWQ2VM","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DIKFR7IWQ2VMDKNR","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DIKFR7IW","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DIKFR7IWQ2VMDKNRMEBG3DBFTH","target":"record","payload":{"canonical_record":{"source":{"id":"1311.5680","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-11-22T08:58:17Z","cross_cats_sorted":[],"title_canon_sha256":"ddc78d7a4b1f4ecdd5130023f62bb4da629ffda0a91018d647b13d80b5392044","abstract_canon_sha256":"054eb3af193bd2fb8f3dfd51a53e1055b2f2762a2bd86a46f06dd0d7d90e5d3f"},"schema_version":"1.0"},"canonical_sha256":"1a1458fd1686aac1a9b161026d8c2599d021bc340dd6d9914dcefc68ded3f2f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:23.537060Z","signature_b64":"pdH2EVW/LUdNRxjlzHykPHQixbTF/MdJ3FxojcxWBasgZ8GUGo00EI5/0+93fTyHioDcy0PHXzOk2M24LGKFCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a1458fd1686aac1a9b161026d8c2599d021bc340dd6d9914dcefc68ded3f2f6","last_reissued_at":"2026-05-18T03:06:23.536527Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:23.536527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.5680","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":"2026-05-18T03:06:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xYN3aeC4sfRCMv2kIgWv3uTMmZnmbDUyd3oOS2y5RY9203Z4Q7DFD+oHes3sRVGO8keO2LBVvs7mOYrD/T5xBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T08:13:07.499737Z"},"content_sha256":"0f10046909dd48b8e5233b9f60d31413073cc3b6997247b13de934a471e7cb48","schema_version":"1.0","event_id":"sha256:0f10046909dd48b8e5233b9f60d31413073cc3b6997247b13de934a471e7cb48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DIKFR7IWQ2VMDKNRMEBG3DBFTH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniform Electron Gas under An External Bias: The Generalized Thomas-Fermi-Dirac Model and the Dual-Mean-Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Chun Zhang","submitted_at":"2013-11-22T08:58:17Z","abstract_excerpt":"The uniform electron gas placed between two reservoirs is used as a model system for molecular junctions under an external bias. The energetics of the electron gas are calculated by generalizing the Thomas-Fermi-Dirac (TFD) model to nonequilibrium cases. We show that when the bias voltage is not zero, the first Hohenberg-Kohn (HK) theorem breaks down, and energies of the electron gas can be determined by the total electron density together with the density of nonequilibrium electrons, supporting the dual-mean-field (DMF) theory recently proposed by us [J. Chem. Phys. 139, (2013) 191103]. The g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5680","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":"2026-05-18T03:06:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lTKdzAoekJQt0Nvh2hMKeExX2dTShq2WQ41itPtWFdo07IQmqGX2yDtQhsm6r3J/QwSRIcxM8bTH6V3Jys/IDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T08:13:07.500106Z"},"content_sha256":"0bb0faa61c9be23887b8bee8a26e64334a31d0b4571a47332ba322c741af54d6","schema_version":"1.0","event_id":"sha256:0bb0faa61c9be23887b8bee8a26e64334a31d0b4571a47332ba322c741af54d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DIKFR7IWQ2VMDKNRMEBG3DBFTH/bundle.json","state_url":"https://pith.science/pith/DIKFR7IWQ2VMDKNRMEBG3DBFTH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DIKFR7IWQ2VMDKNRMEBG3DBFTH/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":"2026-06-29T08:13:07Z","links":{"resolver":"https://pith.science/pith/DIKFR7IWQ2VMDKNRMEBG3DBFTH","bundle":"https://pith.science/pith/DIKFR7IWQ2VMDKNRMEBG3DBFTH/bundle.json","state":"https://pith.science/pith/DIKFR7IWQ2VMDKNRMEBG3DBFTH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DIKFR7IWQ2VMDKNRMEBG3DBFTH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DIKFR7IWQ2VMDKNRMEBG3DBFTH","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":"054eb3af193bd2fb8f3dfd51a53e1055b2f2762a2bd86a46f06dd0d7d90e5d3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-11-22T08:58:17Z","title_canon_sha256":"ddc78d7a4b1f4ecdd5130023f62bb4da629ffda0a91018d647b13d80b5392044"},"schema_version":"1.0","source":{"id":"1311.5680","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5680","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5680v1","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5680","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"pith_short_12","alias_value":"DIKFR7IWQ2VM","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DIKFR7IWQ2VMDKNR","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DIKFR7IW","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:0bb0faa61c9be23887b8bee8a26e64334a31d0b4571a47332ba322c741af54d6","target":"graph","created_at":"2026-05-18T03:06:23Z","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":"The uniform electron gas placed between two reservoirs is used as a model system for molecular junctions under an external bias. The energetics of the electron gas are calculated by generalizing the Thomas-Fermi-Dirac (TFD) model to nonequilibrium cases. We show that when the bias voltage is not zero, the first Hohenberg-Kohn (HK) theorem breaks down, and energies of the electron gas can be determined by the total electron density together with the density of nonequilibrium electrons, supporting the dual-mean-field (DMF) theory recently proposed by us [J. Chem. Phys. 139, (2013) 191103]. The g","authors_text":"Chun Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-11-22T08:58:17Z","title":"Uniform Electron Gas under An External Bias: The Generalized Thomas-Fermi-Dirac Model and the Dual-Mean-Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5680","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":"sha256:0f10046909dd48b8e5233b9f60d31413073cc3b6997247b13de934a471e7cb48","target":"record","created_at":"2026-05-18T03:06:23Z","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":"054eb3af193bd2fb8f3dfd51a53e1055b2f2762a2bd86a46f06dd0d7d90e5d3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-11-22T08:58:17Z","title_canon_sha256":"ddc78d7a4b1f4ecdd5130023f62bb4da629ffda0a91018d647b13d80b5392044"},"schema_version":"1.0","source":{"id":"1311.5680","kind":"arxiv","version":1}},"canonical_sha256":"1a1458fd1686aac1a9b161026d8c2599d021bc340dd6d9914dcefc68ded3f2f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a1458fd1686aac1a9b161026d8c2599d021bc340dd6d9914dcefc68ded3f2f6","first_computed_at":"2026-05-18T03:06:23.536527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:23.536527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pdH2EVW/LUdNRxjlzHykPHQixbTF/MdJ3FxojcxWBasgZ8GUGo00EI5/0+93fTyHioDcy0PHXzOk2M24LGKFCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:23.537060Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5680","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f10046909dd48b8e5233b9f60d31413073cc3b6997247b13de934a471e7cb48","sha256:0bb0faa61c9be23887b8bee8a26e64334a31d0b4571a47332ba322c741af54d6"],"state_sha256":"4f197d233079afd43e14e3bd1c8f3dfd445023405eb5735d1c99c51caa241e5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C3QdsWMcoNj4LtXH99wv3ClUj40CSfLynNQI2bEP8pqUZpiQYweH4njzM2OxWnzy1yS/l6PXmijFTj6A69S/DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T08:13:07.502133Z","bundle_sha256":"b0c647579c89e6e1d683c1c6f78f75d1fdb5b5fbea1ba2e83f04f1b6af5deed9"}}