{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:LFYUYC52Y5GTMQ3RKMACJBNQBB","short_pith_number":"pith:LFYUYC52","canonical_record":{"source":{"id":"1412.3101","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-12-09T01:24:26Z","cross_cats_sorted":["physics.atom-ph","quant-ph"],"title_canon_sha256":"03f62b3c51f3799932e6464b9e28c8f60bd78236202ff9cae0bcd7aad30e3ccd","abstract_canon_sha256":"433075943de179a168e0699e15ce86c97f335592e561d4f381ffdc2f969d1e85"},"schema_version":"1.0"},"canonical_sha256":"59714c0bbac74d36437153002485b00850d3e3c99a732d4080e54aa4c6e9a9b7","source":{"kind":"arxiv","id":"1412.3101","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3101","created_at":"2026-05-18T01:41:20Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3101v2","created_at":"2026-05-18T01:41:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3101","created_at":"2026-05-18T01:41:20Z"},{"alias_kind":"pith_short_12","alias_value":"LFYUYC52Y5GT","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LFYUYC52Y5GTMQ3R","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LFYUYC52","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:LFYUYC52Y5GTMQ3RKMACJBNQBB","target":"record","payload":{"canonical_record":{"source":{"id":"1412.3101","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-12-09T01:24:26Z","cross_cats_sorted":["physics.atom-ph","quant-ph"],"title_canon_sha256":"03f62b3c51f3799932e6464b9e28c8f60bd78236202ff9cae0bcd7aad30e3ccd","abstract_canon_sha256":"433075943de179a168e0699e15ce86c97f335592e561d4f381ffdc2f969d1e85"},"schema_version":"1.0"},"canonical_sha256":"59714c0bbac74d36437153002485b00850d3e3c99a732d4080e54aa4c6e9a9b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:20.316243Z","signature_b64":"Cs1j1HgylZYhOCIo+ZgOCXRlvw49Edpis62bpPPviJIxhSzXFTSGA+f4QsxLEdq8YbZ3UYPsvSITOOYT4NofAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59714c0bbac74d36437153002485b00850d3e3c99a732d4080e54aa4c6e9a9b7","last_reissued_at":"2026-05-18T01:41:20.315644Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:20.315644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.3101","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:41:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w5oDuV7PfqIaptKm6wBAcgojDF8tqN8cUfQIop5ElZiKYgim2++eQivTbg/esAwlY0bJM+67+eoHm4WoWHs4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:39:41.711431Z"},"content_sha256":"28e9a1d29c4d1469075894d2f1a10e8631318779c623a3f5ae336af9df51a6ec","schema_version":"1.0","event_id":"sha256:28e9a1d29c4d1469075894d2f1a10e8631318779c623a3f5ae336af9df51a6ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:LFYUYC52Y5GTMQ3RKMACJBNQBB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fermi Orbital Derivatives in Self-Interaction Corrected Density Functional Theory: Applications to Closed Shell Atoms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph","quant-ph"],"primary_cat":"physics.chem-ph","authors_text":"Mark R. Pederson","submitted_at":"2014-12-09T01:24:26Z","abstract_excerpt":"A recent modification of the Perdew-Zunger self-interaction-correction (SIC) to the density-functional formalism (Pederson, Ruzsinszky, Perdew) has provided a framework for explicitly restoring unitary invariance to the expression for the total energy. The formalism depends upon construction of Lowdin orthonormalized Fermi-orbitals (Luken et al) which parametrically depend on variational quasi-classical electronic positions. Derivatives of these quasi-classical electronic positions, required for efficient minimization of the self-interaction corrected energy, are derived and tested here on ato"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3101","kind":"arxiv","version":2},"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":"2026-05-18T01:41:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YErJXKsNCdZg5h5O7i/j2NiBQ80gWqAI8l1627jZ43eogzAOWgiGcdNmhjJAjp1tWdMORvUfgUScPtmmXJK2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:39:41.712080Z"},"content_sha256":"d445f4eb98b20df0ce4c60387edcf12459a4ce8a16976dfe00614e59cbb07de1","schema_version":"1.0","event_id":"sha256:d445f4eb98b20df0ce4c60387edcf12459a4ce8a16976dfe00614e59cbb07de1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LFYUYC52Y5GTMQ3RKMACJBNQBB/bundle.json","state_url":"https://pith.science/pith/LFYUYC52Y5GTMQ3RKMACJBNQBB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LFYUYC52Y5GTMQ3RKMACJBNQBB/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":"2026-06-07T05:39:41Z","links":{"resolver":"https://pith.science/pith/LFYUYC52Y5GTMQ3RKMACJBNQBB","bundle":"https://pith.science/pith/LFYUYC52Y5GTMQ3RKMACJBNQBB/bundle.json","state":"https://pith.science/pith/LFYUYC52Y5GTMQ3RKMACJBNQBB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LFYUYC52Y5GTMQ3RKMACJBNQBB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LFYUYC52Y5GTMQ3RKMACJBNQBB","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":"433075943de179a168e0699e15ce86c97f335592e561d4f381ffdc2f969d1e85","cross_cats_sorted":["physics.atom-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-12-09T01:24:26Z","title_canon_sha256":"03f62b3c51f3799932e6464b9e28c8f60bd78236202ff9cae0bcd7aad30e3ccd"},"schema_version":"1.0","source":{"id":"1412.3101","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3101","created_at":"2026-05-18T01:41:20Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3101v2","created_at":"2026-05-18T01:41:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3101","created_at":"2026-05-18T01:41:20Z"},{"alias_kind":"pith_short_12","alias_value":"LFYUYC52Y5GT","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LFYUYC52Y5GTMQ3R","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LFYUYC52","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:d445f4eb98b20df0ce4c60387edcf12459a4ce8a16976dfe00614e59cbb07de1","target":"graph","created_at":"2026-05-18T01:41:20Z","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":"A recent modification of the Perdew-Zunger self-interaction-correction (SIC) to the density-functional formalism (Pederson, Ruzsinszky, Perdew) has provided a framework for explicitly restoring unitary invariance to the expression for the total energy. The formalism depends upon construction of Lowdin orthonormalized Fermi-orbitals (Luken et al) which parametrically depend on variational quasi-classical electronic positions. Derivatives of these quasi-classical electronic positions, required for efficient minimization of the self-interaction corrected energy, are derived and tested here on ato","authors_text":"Mark R. Pederson","cross_cats":["physics.atom-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-12-09T01:24:26Z","title":"Fermi Orbital Derivatives in Self-Interaction Corrected Density Functional Theory: Applications to Closed Shell Atoms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3101","kind":"arxiv","version":2},"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":"sha256:28e9a1d29c4d1469075894d2f1a10e8631318779c623a3f5ae336af9df51a6ec","target":"record","created_at":"2026-05-18T01:41:20Z","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":"433075943de179a168e0699e15ce86c97f335592e561d4f381ffdc2f969d1e85","cross_cats_sorted":["physics.atom-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-12-09T01:24:26Z","title_canon_sha256":"03f62b3c51f3799932e6464b9e28c8f60bd78236202ff9cae0bcd7aad30e3ccd"},"schema_version":"1.0","source":{"id":"1412.3101","kind":"arxiv","version":2}},"canonical_sha256":"59714c0bbac74d36437153002485b00850d3e3c99a732d4080e54aa4c6e9a9b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59714c0bbac74d36437153002485b00850d3e3c99a732d4080e54aa4c6e9a9b7","first_computed_at":"2026-05-18T01:41:20.315644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:20.315644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cs1j1HgylZYhOCIo+ZgOCXRlvw49Edpis62bpPPviJIxhSzXFTSGA+f4QsxLEdq8YbZ3UYPsvSITOOYT4NofAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:20.316243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.3101","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28e9a1d29c4d1469075894d2f1a10e8631318779c623a3f5ae336af9df51a6ec","sha256:d445f4eb98b20df0ce4c60387edcf12459a4ce8a16976dfe00614e59cbb07de1"],"state_sha256":"1d017c8d12fc9053c39d487a111d4db89fa5de9c3b02316d52a0c01b7573d810"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"plk+ILtYZpsQ55txit4OmDMdA/95OCzMhiaFJnaIJ0mTUrMpaU1NeLaLCU0pzwQtgMhaNqUiy+IJ034HshzuDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T05:39:41.715094Z","bundle_sha256":"4f6442860a32340ce82e81a1b3c6016698b3c8005d0e343a3906c11997a87416"}}