{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4N4CNGNIO6DIQ7A5R43PP6GKJB","short_pith_number":"pith:4N4CNGNI","canonical_record":{"source":{"id":"2505.04381","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-05-07T13:04:05Z","cross_cats_sorted":[],"title_canon_sha256":"8f3eda048b918d0148dce9a54e85d02202f5476a53e7ecdfbd14c39bc3996a16","abstract_canon_sha256":"8e78ecc51e3057a522b085c1c2a697b97744c866cfed37a528464b6b3e404989"},"schema_version":"1.0"},"canonical_sha256":"e3782699a87786887c1d8f36f7f8ca487f817fbdf80bfb6f87848a4739a1c61b","source":{"kind":"arxiv","id":"2505.04381","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.04381","created_at":"2026-07-05T10:59:51Z"},{"alias_kind":"arxiv_version","alias_value":"2505.04381v1","created_at":"2026-07-05T10:59:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.04381","created_at":"2026-07-05T10:59:51Z"},{"alias_kind":"pith_short_12","alias_value":"4N4CNGNIO6DI","created_at":"2026-07-05T10:59:51Z"},{"alias_kind":"pith_short_16","alias_value":"4N4CNGNIO6DIQ7A5","created_at":"2026-07-05T10:59:51Z"},{"alias_kind":"pith_short_8","alias_value":"4N4CNGNI","created_at":"2026-07-05T10:59:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4N4CNGNIO6DIQ7A5R43PP6GKJB","target":"record","payload":{"canonical_record":{"source":{"id":"2505.04381","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-05-07T13:04:05Z","cross_cats_sorted":[],"title_canon_sha256":"8f3eda048b918d0148dce9a54e85d02202f5476a53e7ecdfbd14c39bc3996a16","abstract_canon_sha256":"8e78ecc51e3057a522b085c1c2a697b97744c866cfed37a528464b6b3e404989"},"schema_version":"1.0"},"canonical_sha256":"e3782699a87786887c1d8f36f7f8ca487f817fbdf80bfb6f87848a4739a1c61b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:59:51.061220Z","signature_b64":"LarhIRnVUcllQr7z8siE+znZg8mH28AFCdp9rSYCN3CcmZtL+WfEGSyWd+5KRx1QLqwJwTcyYkgoZzD9POiSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3782699a87786887c1d8f36f7f8ca487f817fbdf80bfb6f87848a4739a1c61b","last_reissued_at":"2026-07-05T10:59:51.060752Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:59:51.060752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.04381","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":"2026-07-05T10:59:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HlbUF00NKO8LGZwzSeiIAiitkGaxzBTULRsTjEc+BuuM+fJwQSFU4+JZouraWNy0qEZQ4AIbhsXU2BZ3kl5kDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:57:28.513699Z"},"content_sha256":"afc71bc4c08e5ac92fc3abf066e47c163bbe6ad247451ec7c3e574b01f6e7a19","schema_version":"1.0","event_id":"sha256:afc71bc4c08e5ac92fc3abf066e47c163bbe6ad247451ec7c3e574b01f6e7a19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4N4CNGNIO6DIQ7A5R43PP6GKJB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Screening of the band gap in electrically biased bilayer graphene: From Hartree to Hartree-Fock","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Jack N. Engdahl, Oleg P. Sushkov, Zeb E. Krix","submitted_at":"2025-05-07T13:04:05Z","abstract_excerpt":"It is well known that a direct band gap may be opened in bilayer graphene via the application of a perpendicular electric field (bias). The bias and the chemical potential are controlled by electrostatic gating where the top and bottom gate voltages are tuned separately. The value of the band gap opened by the bias field is influenced by the self screening of the bilayer graphene. The Hartree contribution to the self screening is well known in literature, with Hartree screening significantly renormalizing the gap. In the present work we derive the Fock contribution to the self screening and de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.04381","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.04381/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:59:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v4tSlkzNWPODSVAUDxvMxomMw1qP+AmA6LLQEM43Snwf65+4fJcNA3p3eyULykxnpTaXZjlOEbQ6jiRM2+80Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:57:28.514475Z"},"content_sha256":"c721047d0e5181154f5b33aeb4665ede8bf4b62a097940e64e861f6ad44f4a7b","schema_version":"1.0","event_id":"sha256:c721047d0e5181154f5b33aeb4665ede8bf4b62a097940e64e861f6ad44f4a7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4N4CNGNIO6DIQ7A5R43PP6GKJB/bundle.json","state_url":"https://pith.science/pith/4N4CNGNIO6DIQ7A5R43PP6GKJB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4N4CNGNIO6DIQ7A5R43PP6GKJB/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":"2026-08-08T13:57:28Z","links":{"resolver":"https://pith.science/pith/4N4CNGNIO6DIQ7A5R43PP6GKJB","bundle":"https://pith.science/pith/4N4CNGNIO6DIQ7A5R43PP6GKJB/bundle.json","state":"https://pith.science/pith/4N4CNGNIO6DIQ7A5R43PP6GKJB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4N4CNGNIO6DIQ7A5R43PP6GKJB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4N4CNGNIO6DIQ7A5R43PP6GKJB","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":"8e78ecc51e3057a522b085c1c2a697b97744c866cfed37a528464b6b3e404989","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-05-07T13:04:05Z","title_canon_sha256":"8f3eda048b918d0148dce9a54e85d02202f5476a53e7ecdfbd14c39bc3996a16"},"schema_version":"1.0","source":{"id":"2505.04381","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.04381","created_at":"2026-07-05T10:59:51Z"},{"alias_kind":"arxiv_version","alias_value":"2505.04381v1","created_at":"2026-07-05T10:59:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.04381","created_at":"2026-07-05T10:59:51Z"},{"alias_kind":"pith_short_12","alias_value":"4N4CNGNIO6DI","created_at":"2026-07-05T10:59:51Z"},{"alias_kind":"pith_short_16","alias_value":"4N4CNGNIO6DIQ7A5","created_at":"2026-07-05T10:59:51Z"},{"alias_kind":"pith_short_8","alias_value":"4N4CNGNI","created_at":"2026-07-05T10:59:51Z"}],"graph_snapshots":[{"event_id":"sha256:c721047d0e5181154f5b33aeb4665ede8bf4b62a097940e64e861f6ad44f4a7b","target":"graph","created_at":"2026-07-05T10:59:51Z","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/2505.04381/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is well known that a direct band gap may be opened in bilayer graphene via the application of a perpendicular electric field (bias). The bias and the chemical potential are controlled by electrostatic gating where the top and bottom gate voltages are tuned separately. The value of the band gap opened by the bias field is influenced by the self screening of the bilayer graphene. The Hartree contribution to the self screening is well known in literature, with Hartree screening significantly renormalizing the gap. In the present work we derive the Fock contribution to the self screening and de","authors_text":"Jack N. Engdahl, Oleg P. Sushkov, Zeb E. Krix","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-05-07T13:04:05Z","title":"Screening of the band gap in electrically biased bilayer graphene: From Hartree to Hartree-Fock"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.04381","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:afc71bc4c08e5ac92fc3abf066e47c163bbe6ad247451ec7c3e574b01f6e7a19","target":"record","created_at":"2026-07-05T10:59:51Z","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":"8e78ecc51e3057a522b085c1c2a697b97744c866cfed37a528464b6b3e404989","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-05-07T13:04:05Z","title_canon_sha256":"8f3eda048b918d0148dce9a54e85d02202f5476a53e7ecdfbd14c39bc3996a16"},"schema_version":"1.0","source":{"id":"2505.04381","kind":"arxiv","version":1}},"canonical_sha256":"e3782699a87786887c1d8f36f7f8ca487f817fbdf80bfb6f87848a4739a1c61b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3782699a87786887c1d8f36f7f8ca487f817fbdf80bfb6f87848a4739a1c61b","first_computed_at":"2026-07-05T10:59:51.060752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:59:51.060752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LarhIRnVUcllQr7z8siE+znZg8mH28AFCdp9rSYCN3CcmZtL+WfEGSyWd+5KRx1QLqwJwTcyYkgoZzD9POiSAw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:59:51.061220Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.04381","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afc71bc4c08e5ac92fc3abf066e47c163bbe6ad247451ec7c3e574b01f6e7a19","sha256:c721047d0e5181154f5b33aeb4665ede8bf4b62a097940e64e861f6ad44f4a7b"],"state_sha256":"5cc6be7586dfd3ab0893f9ddcc7143e1d272aeda66359893b5f16a4a95d1a204"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9jFpQMNFTDblBMUQZWv93EHIlHN/Gywc9C7XRG+GBaMr3r2YtPdydEpoSN1zAki3SPRbQtUntGBeXUl+fnw4BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T13:57:28.518793Z","bundle_sha256":"6bda79caf6850f3ad5fc6f66375eaf74270ba414485087d512e48a02d642cbbf"}}