{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:QLUCCXOTRZPZZUCLXZ3XKIRWJD","short_pith_number":"pith:QLUCCXOT","canonical_record":{"source":{"id":"1404.0902","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-04-03T13:27:42Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"b2326931d2f09da93a06fbcdc707a5feb4b333f22cf645146b69ce758197471c","abstract_canon_sha256":"558f12804918f594c62dfceb54faccf3e94d1d3689fbe42068e69caad40779bb"},"schema_version":"1.0"},"canonical_sha256":"82e8215dd38e5f9cd04bbe7775223648c8564ff7fbcd13001fffe759c518e67b","source":{"kind":"arxiv","id":"1404.0902","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0902","created_at":"2026-05-18T00:35:25Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0902v1","created_at":"2026-05-18T00:35:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0902","created_at":"2026-05-18T00:35:25Z"},{"alias_kind":"pith_short_12","alias_value":"QLUCCXOTRZPZ","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QLUCCXOTRZPZZUCL","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QLUCCXOT","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:QLUCCXOTRZPZZUCLXZ3XKIRWJD","target":"record","payload":{"canonical_record":{"source":{"id":"1404.0902","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-04-03T13:27:42Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"b2326931d2f09da93a06fbcdc707a5feb4b333f22cf645146b69ce758197471c","abstract_canon_sha256":"558f12804918f594c62dfceb54faccf3e94d1d3689fbe42068e69caad40779bb"},"schema_version":"1.0"},"canonical_sha256":"82e8215dd38e5f9cd04bbe7775223648c8564ff7fbcd13001fffe759c518e67b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:25.354382Z","signature_b64":"8iCHTetslHA12YDZDp4soUF4IPPREzFJxcLZdLG9DUrsugYdEmk2zzXC4Ktjl3foQs004sGGYU/YEN1BDMOgAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82e8215dd38e5f9cd04bbe7775223648c8564ff7fbcd13001fffe759c518e67b","last_reissued_at":"2026-05-18T00:35:25.353744Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:25.353744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.0902","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":"2026-05-18T00:35:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VMfiLDVWC7WoIroNau3hTle9CsxRQ5Y+2ZrDmwyl6CKAtcw2pp7JJ4anqYXhYR/htQsBKQJHQ1XjbM77wQxbBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:27:00.765386Z"},"content_sha256":"92fc59ddcded5c8b6d89504f37ce1470b09cb4cd1d11d7cc6f2519d225547ad2","schema_version":"1.0","event_id":"sha256:92fc59ddcded5c8b6d89504f37ce1470b09cb4cd1d11d7cc6f2519d225547ad2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:QLUCCXOTRZPZZUCLXZ3XKIRWJD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The derivative discontinuity of the exchange-correlation functional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"physics.chem-ph","authors_text":"Aron J. Cohen, Paula Mori-S\\'anchez","submitted_at":"2014-04-03T13:27:42Z","abstract_excerpt":"The derivative discontinuity is a key concept in electronic structure theory in general and density functional theory in particular. The electronic energy of a quantum system exhibits derivative discontinuities with respect to different degrees of freedom that are a consequence of the integer nature of electrons. The classical understanding refers to the derivative discontinuity of the total energy as a function of the total number of electrons ($N$), but it can also manifest at constant $N$. Examples are shown in models including several Hydrogen systems with varying numbers of electrons or n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0902","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":"2026-05-18T00:35:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R59BZfQawuoZ+WBUZjXeU0s9LpS7vaytJUSJgUZU6RS7Xzw8IFWFxoEYImPECz0eKSgoDVLpDj/LqYa3+8CGBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:27:00.766132Z"},"content_sha256":"cfc585be43400c714721d608d4d913786cb406c25f113dfd379c46a067a81d9f","schema_version":"1.0","event_id":"sha256:cfc585be43400c714721d608d4d913786cb406c25f113dfd379c46a067a81d9f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QLUCCXOTRZPZZUCLXZ3XKIRWJD/bundle.json","state_url":"https://pith.science/pith/QLUCCXOTRZPZZUCLXZ3XKIRWJD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QLUCCXOTRZPZZUCLXZ3XKIRWJD/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":"2026-05-27T01:27:00Z","links":{"resolver":"https://pith.science/pith/QLUCCXOTRZPZZUCLXZ3XKIRWJD","bundle":"https://pith.science/pith/QLUCCXOTRZPZZUCLXZ3XKIRWJD/bundle.json","state":"https://pith.science/pith/QLUCCXOTRZPZZUCLXZ3XKIRWJD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QLUCCXOTRZPZZUCLXZ3XKIRWJD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QLUCCXOTRZPZZUCLXZ3XKIRWJD","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":"558f12804918f594c62dfceb54faccf3e94d1d3689fbe42068e69caad40779bb","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-04-03T13:27:42Z","title_canon_sha256":"b2326931d2f09da93a06fbcdc707a5feb4b333f22cf645146b69ce758197471c"},"schema_version":"1.0","source":{"id":"1404.0902","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0902","created_at":"2026-05-18T00:35:25Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0902v1","created_at":"2026-05-18T00:35:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0902","created_at":"2026-05-18T00:35:25Z"},{"alias_kind":"pith_short_12","alias_value":"QLUCCXOTRZPZ","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QLUCCXOTRZPZZUCL","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QLUCCXOT","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:cfc585be43400c714721d608d4d913786cb406c25f113dfd379c46a067a81d9f","target":"graph","created_at":"2026-05-18T00:35:25Z","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 derivative discontinuity is a key concept in electronic structure theory in general and density functional theory in particular. The electronic energy of a quantum system exhibits derivative discontinuities with respect to different degrees of freedom that are a consequence of the integer nature of electrons. The classical understanding refers to the derivative discontinuity of the total energy as a function of the total number of electrons ($N$), but it can also manifest at constant $N$. Examples are shown in models including several Hydrogen systems with varying numbers of electrons or n","authors_text":"Aron J. Cohen, Paula Mori-S\\'anchez","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-04-03T13:27:42Z","title":"The derivative discontinuity of the exchange-correlation functional"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0902","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":"sha256:92fc59ddcded5c8b6d89504f37ce1470b09cb4cd1d11d7cc6f2519d225547ad2","target":"record","created_at":"2026-05-18T00:35:25Z","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":"558f12804918f594c62dfceb54faccf3e94d1d3689fbe42068e69caad40779bb","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-04-03T13:27:42Z","title_canon_sha256":"b2326931d2f09da93a06fbcdc707a5feb4b333f22cf645146b69ce758197471c"},"schema_version":"1.0","source":{"id":"1404.0902","kind":"arxiv","version":1}},"canonical_sha256":"82e8215dd38e5f9cd04bbe7775223648c8564ff7fbcd13001fffe759c518e67b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82e8215dd38e5f9cd04bbe7775223648c8564ff7fbcd13001fffe759c518e67b","first_computed_at":"2026-05-18T00:35:25.353744Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:25.353744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8iCHTetslHA12YDZDp4soUF4IPPREzFJxcLZdLG9DUrsugYdEmk2zzXC4Ktjl3foQs004sGGYU/YEN1BDMOgAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:25.354382Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.0902","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92fc59ddcded5c8b6d89504f37ce1470b09cb4cd1d11d7cc6f2519d225547ad2","sha256:cfc585be43400c714721d608d4d913786cb406c25f113dfd379c46a067a81d9f"],"state_sha256":"b470e91832be31527d47ddf87566698d67c188e0b5f6252e20109e901f6f85ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MCYm7qgZqlR8/P5XW5khdkn2A+T+ZdRs0UTaOM+GEMMpmtNCCbcB16q6YYekqPavHgORYJnr1uHirijOBDj5Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:27:00.769866Z","bundle_sha256":"1e5d49da34f9f843b1457a20733e6335f0fa2a10b270532fb476b30d1ab4916f"}}