{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7PBCEZPN5XM2OT5GDSVFUDIPQ2","short_pith_number":"pith:7PBCEZPN","canonical_record":{"source":{"id":"1601.07067","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-01-26T15:31:56Z","cross_cats_sorted":[],"title_canon_sha256":"7361e7333142dd14900972b42d317cbbf3277d53385757fb73a19207a34ca891","abstract_canon_sha256":"f7e4eefc85706a63dc3c2f457c4b1178192de02875c292a553ce2664212029ce"},"schema_version":"1.0"},"canonical_sha256":"fbc22265ededd9a74fa61caa5a0d0f868d0b3d1afc70daa2fc5a38297863387a","source":{"kind":"arxiv","id":"1601.07067","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07067","created_at":"2026-05-18T01:13:15Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07067v3","created_at":"2026-05-18T01:13:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07067","created_at":"2026-05-18T01:13:15Z"},{"alias_kind":"pith_short_12","alias_value":"7PBCEZPN5XM2","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7PBCEZPN5XM2OT5G","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7PBCEZPN","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7PBCEZPN5XM2OT5GDSVFUDIPQ2","target":"record","payload":{"canonical_record":{"source":{"id":"1601.07067","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-01-26T15:31:56Z","cross_cats_sorted":[],"title_canon_sha256":"7361e7333142dd14900972b42d317cbbf3277d53385757fb73a19207a34ca891","abstract_canon_sha256":"f7e4eefc85706a63dc3c2f457c4b1178192de02875c292a553ce2664212029ce"},"schema_version":"1.0"},"canonical_sha256":"fbc22265ededd9a74fa61caa5a0d0f868d0b3d1afc70daa2fc5a38297863387a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:15.497185Z","signature_b64":"AgU6BMJU5PRdh0+8+T9sFzComu1zWdW6TWRuZjFx8gVrodHaalcGlPY5ELLaHZC0FpNHjxez/mW4gpUCC4psDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbc22265ededd9a74fa61caa5a0d0f868d0b3d1afc70daa2fc5a38297863387a","last_reissued_at":"2026-05-18T01:13:15.496749Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:15.496749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.07067","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e3FTWCQqA6iXnIy6ET4LA+KOfaUXrvgKuv5JZLkH208eyQ4EPfyYwRKywdGz0x0+nWQNFyewbP8dSO/UtIH9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:57:02.839722Z"},"content_sha256":"6d62d7a2e0b0896899ca46c56b8ebadcb5e2f7de07cf179fd5eeed974a47163b","schema_version":"1.0","event_id":"sha256:6d62d7a2e0b0896899ca46c56b8ebadcb5e2f7de07cf179fd5eeed974a47163b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7PBCEZPN5XM2OT5GDSVFUDIPQ2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact \"exact exchange\" potential of two- and one-dimensional electron gases beyond the asymptotic limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"V. U. Nazarov","submitted_at":"2016-01-26T15:31:56Z","abstract_excerpt":"The exchange-correlation potential experienced by an electron in the free space adjacent to a solid surface or to a low-dimensional system defines the fundamental image states and is generally important in surface- and nano-science. Here we determine the potential near the two- and one-dimensional electron gases (EG), doing this analytically at the level of the exact exchange of the density-functional theory (DFT). We find that, at $r_\\perp\\gg k_F^{-1}$, where $r_\\perp$ is the distance from the EG and $k_F$ is the Fermi radius, the potential obeys the already known asymptotic $-e^2/r_\\perp$, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07067","kind":"arxiv","version":3},"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":"2026-05-18T01:13:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+SbCWqbmqEtqNy5xmY0+9gUAd8mMKW/mcHOM49Aw0owW+I0ppgmGB+amzikoYTQIfVd6yzCp9HcGpgqkw8NuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:57:02.840374Z"},"content_sha256":"6c07587728da4abf9e90dcafdb9d689cc2fc9e48c52adfc44b9a79b7ce88bee5","schema_version":"1.0","event_id":"sha256:6c07587728da4abf9e90dcafdb9d689cc2fc9e48c52adfc44b9a79b7ce88bee5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7PBCEZPN5XM2OT5GDSVFUDIPQ2/bundle.json","state_url":"https://pith.science/pith/7PBCEZPN5XM2OT5GDSVFUDIPQ2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7PBCEZPN5XM2OT5GDSVFUDIPQ2/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":"2026-05-28T21:57:02Z","links":{"resolver":"https://pith.science/pith/7PBCEZPN5XM2OT5GDSVFUDIPQ2","bundle":"https://pith.science/pith/7PBCEZPN5XM2OT5GDSVFUDIPQ2/bundle.json","state":"https://pith.science/pith/7PBCEZPN5XM2OT5GDSVFUDIPQ2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7PBCEZPN5XM2OT5GDSVFUDIPQ2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7PBCEZPN5XM2OT5GDSVFUDIPQ2","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":"f7e4eefc85706a63dc3c2f457c4b1178192de02875c292a553ce2664212029ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-01-26T15:31:56Z","title_canon_sha256":"7361e7333142dd14900972b42d317cbbf3277d53385757fb73a19207a34ca891"},"schema_version":"1.0","source":{"id":"1601.07067","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07067","created_at":"2026-05-18T01:13:15Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07067v3","created_at":"2026-05-18T01:13:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07067","created_at":"2026-05-18T01:13:15Z"},{"alias_kind":"pith_short_12","alias_value":"7PBCEZPN5XM2","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7PBCEZPN5XM2OT5G","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7PBCEZPN","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:6c07587728da4abf9e90dcafdb9d689cc2fc9e48c52adfc44b9a79b7ce88bee5","target":"graph","created_at":"2026-05-18T01:13:15Z","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 exchange-correlation potential experienced by an electron in the free space adjacent to a solid surface or to a low-dimensional system defines the fundamental image states and is generally important in surface- and nano-science. Here we determine the potential near the two- and one-dimensional electron gases (EG), doing this analytically at the level of the exact exchange of the density-functional theory (DFT). We find that, at $r_\\perp\\gg k_F^{-1}$, where $r_\\perp$ is the distance from the EG and $k_F$ is the Fermi radius, the potential obeys the already known asymptotic $-e^2/r_\\perp$, w","authors_text":"V. U. Nazarov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-01-26T15:31:56Z","title":"Exact \"exact exchange\" potential of two- and one-dimensional electron gases beyond the asymptotic limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07067","kind":"arxiv","version":3},"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":"sha256:6d62d7a2e0b0896899ca46c56b8ebadcb5e2f7de07cf179fd5eeed974a47163b","target":"record","created_at":"2026-05-18T01:13:15Z","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":"f7e4eefc85706a63dc3c2f457c4b1178192de02875c292a553ce2664212029ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-01-26T15:31:56Z","title_canon_sha256":"7361e7333142dd14900972b42d317cbbf3277d53385757fb73a19207a34ca891"},"schema_version":"1.0","source":{"id":"1601.07067","kind":"arxiv","version":3}},"canonical_sha256":"fbc22265ededd9a74fa61caa5a0d0f868d0b3d1afc70daa2fc5a38297863387a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbc22265ededd9a74fa61caa5a0d0f868d0b3d1afc70daa2fc5a38297863387a","first_computed_at":"2026-05-18T01:13:15.496749Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:15.496749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AgU6BMJU5PRdh0+8+T9sFzComu1zWdW6TWRuZjFx8gVrodHaalcGlPY5ELLaHZC0FpNHjxez/mW4gpUCC4psDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:15.497185Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.07067","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d62d7a2e0b0896899ca46c56b8ebadcb5e2f7de07cf179fd5eeed974a47163b","sha256:6c07587728da4abf9e90dcafdb9d689cc2fc9e48c52adfc44b9a79b7ce88bee5"],"state_sha256":"fd0f6dc8f834363df9864e33153bb3de1c6b9a8ccf85bad1503ce901b9f86981"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MbmDWchY5r4KqoMFvCTaTYMFg66OWXghExossCGpHn23ElQXkkVehFP0e8TWIH+7T8JHUxiJByQrRuLNfFtdDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T21:57:02.843365Z","bundle_sha256":"f888dc1021efdc26a2f52e269df1c1f9f7c0bb14752d032467f8d602cae4c447"}}