{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IYA2HRUPX6L5UOO3YQVJO36ZGX","short_pith_number":"pith:IYA2HRUP","canonical_record":{"source":{"id":"1709.10284","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2017-09-29T08:37:21Z","cross_cats_sorted":["cond-mat.other","quant-ph"],"title_canon_sha256":"5c3f30b43a9f8842fe9dc1d87dff0e95f92144c271cedbd5808a2df41f15a594","abstract_canon_sha256":"304c997657aaf0dbc02779d8566b9b81464cb80e449d8ecb2393cb29727f42bb"},"schema_version":"1.0"},"canonical_sha256":"4601a3c68fbf97da39dbc42a976fd935e63eeb6619c27fb95a0b3e9765a59aaf","source":{"kind":"arxiv","id":"1709.10284","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.10284","created_at":"2026-05-18T00:33:58Z"},{"alias_kind":"arxiv_version","alias_value":"1709.10284v1","created_at":"2026-05-18T00:33:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.10284","created_at":"2026-05-18T00:33:58Z"},{"alias_kind":"pith_short_12","alias_value":"IYA2HRUPX6L5","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IYA2HRUPX6L5UOO3","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IYA2HRUP","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IYA2HRUPX6L5UOO3YQVJO36ZGX","target":"record","payload":{"canonical_record":{"source":{"id":"1709.10284","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2017-09-29T08:37:21Z","cross_cats_sorted":["cond-mat.other","quant-ph"],"title_canon_sha256":"5c3f30b43a9f8842fe9dc1d87dff0e95f92144c271cedbd5808a2df41f15a594","abstract_canon_sha256":"304c997657aaf0dbc02779d8566b9b81464cb80e449d8ecb2393cb29727f42bb"},"schema_version":"1.0"},"canonical_sha256":"4601a3c68fbf97da39dbc42a976fd935e63eeb6619c27fb95a0b3e9765a59aaf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:58.158877Z","signature_b64":"6rE06LuJIHUee9nSys9TB23q6HF3e9ZwkTUaIGHNoiYv9K6Xu631mU6rVc8tgztBeMCNiX6uqIzI2j8+r9qLDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4601a3c68fbf97da39dbc42a976fd935e63eeb6619c27fb95a0b3e9765a59aaf","last_reissued_at":"2026-05-18T00:33:58.158184Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:58.158184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.10284","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":"2026-05-18T00:33:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SJ9+GlnZSuo3GOkRqTtIeUiG2pY8EHb3Fev0PCgF/WBIoR6HunKtUkqHYwNXTJQfGPXEm9ZFIhxgPn4RNAVKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T12:19:54.163133Z"},"content_sha256":"0ee8f415468fea858b9cdc99e862f72d59878bdaa5d84fc748279e31f52e8795","schema_version":"1.0","event_id":"sha256:0ee8f415468fea858b9cdc99e862f72d59878bdaa5d84fc748279e31f52e8795"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IYA2HRUPX6L5UOO3YQVJO36ZGX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact density functional obtained via the Levy constrained search","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","quant-ph"],"primary_cat":"physics.chem-ph","authors_text":"Aron J. Cohen, Paula Mori-S\\'anchez","submitted_at":"2017-09-29T08:37:21Z","abstract_excerpt":"A stochastic minimization method for a real-space wavefunction, $\\Psi({\\bf r}_{1},{\\bf r}_{2}\\ldots{\\bf r}_{n})$, constrained to a chosen density, $\\rho({\\bf r})$, is developed. It enables the explicit calculation of the Levy constrained search $F[\\rho]=\\min_{\\Psi\\rightarrow\\rho}\\langle\\Psi|\\hat{T}+\\hat{V}_{ee}|\\Psi\\rangle$ (Proc. Natl. Acad. Sci. 76 6062 (1979)), that gives the exact functional of density functional theory. This general method is illustrated in the evaluation of $F[\\rho]$ for two-electron densities in one dimension with a soft-Coulomb interaction. Additionally, procedures are"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.10284","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":"2026-05-18T00:33:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2pkR3H7K8aRSjRs1kAMmsHiTdgLT6Eb03RI4elOB5OVD8LkSnA5jcSSZmO2UYS93O4YJUC4Tu4xowiLEFfKSBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T12:19:54.163798Z"},"content_sha256":"45e951e6b49e733be93e0a9f7b292095848e3e7e80cbe099464f23b4a5c93c74","schema_version":"1.0","event_id":"sha256:45e951e6b49e733be93e0a9f7b292095848e3e7e80cbe099464f23b4a5c93c74"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IYA2HRUPX6L5UOO3YQVJO36ZGX/bundle.json","state_url":"https://pith.science/pith/IYA2HRUPX6L5UOO3YQVJO36ZGX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IYA2HRUPX6L5UOO3YQVJO36ZGX/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":"2026-05-27T12:19:54Z","links":{"resolver":"https://pith.science/pith/IYA2HRUPX6L5UOO3YQVJO36ZGX","bundle":"https://pith.science/pith/IYA2HRUPX6L5UOO3YQVJO36ZGX/bundle.json","state":"https://pith.science/pith/IYA2HRUPX6L5UOO3YQVJO36ZGX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IYA2HRUPX6L5UOO3YQVJO36ZGX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IYA2HRUPX6L5UOO3YQVJO36ZGX","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":"304c997657aaf0dbc02779d8566b9b81464cb80e449d8ecb2393cb29727f42bb","cross_cats_sorted":["cond-mat.other","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2017-09-29T08:37:21Z","title_canon_sha256":"5c3f30b43a9f8842fe9dc1d87dff0e95f92144c271cedbd5808a2df41f15a594"},"schema_version":"1.0","source":{"id":"1709.10284","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.10284","created_at":"2026-05-18T00:33:58Z"},{"alias_kind":"arxiv_version","alias_value":"1709.10284v1","created_at":"2026-05-18T00:33:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.10284","created_at":"2026-05-18T00:33:58Z"},{"alias_kind":"pith_short_12","alias_value":"IYA2HRUPX6L5","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IYA2HRUPX6L5UOO3","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IYA2HRUP","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:45e951e6b49e733be93e0a9f7b292095848e3e7e80cbe099464f23b4a5c93c74","target":"graph","created_at":"2026-05-18T00:33:58Z","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 stochastic minimization method for a real-space wavefunction, $\\Psi({\\bf r}_{1},{\\bf r}_{2}\\ldots{\\bf r}_{n})$, constrained to a chosen density, $\\rho({\\bf r})$, is developed. It enables the explicit calculation of the Levy constrained search $F[\\rho]=\\min_{\\Psi\\rightarrow\\rho}\\langle\\Psi|\\hat{T}+\\hat{V}_{ee}|\\Psi\\rangle$ (Proc. Natl. Acad. Sci. 76 6062 (1979)), that gives the exact functional of density functional theory. This general method is illustrated in the evaluation of $F[\\rho]$ for two-electron densities in one dimension with a soft-Coulomb interaction. Additionally, procedures are","authors_text":"Aron J. Cohen, Paula Mori-S\\'anchez","cross_cats":["cond-mat.other","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2017-09-29T08:37:21Z","title":"Exact density functional obtained via the Levy constrained search"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.10284","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":"sha256:0ee8f415468fea858b9cdc99e862f72d59878bdaa5d84fc748279e31f52e8795","target":"record","created_at":"2026-05-18T00:33:58Z","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":"304c997657aaf0dbc02779d8566b9b81464cb80e449d8ecb2393cb29727f42bb","cross_cats_sorted":["cond-mat.other","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2017-09-29T08:37:21Z","title_canon_sha256":"5c3f30b43a9f8842fe9dc1d87dff0e95f92144c271cedbd5808a2df41f15a594"},"schema_version":"1.0","source":{"id":"1709.10284","kind":"arxiv","version":1}},"canonical_sha256":"4601a3c68fbf97da39dbc42a976fd935e63eeb6619c27fb95a0b3e9765a59aaf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4601a3c68fbf97da39dbc42a976fd935e63eeb6619c27fb95a0b3e9765a59aaf","first_computed_at":"2026-05-18T00:33:58.158184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:58.158184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6rE06LuJIHUee9nSys9TB23q6HF3e9ZwkTUaIGHNoiYv9K6Xu631mU6rVc8tgztBeMCNiX6uqIzI2j8+r9qLDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:58.158877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.10284","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ee8f415468fea858b9cdc99e862f72d59878bdaa5d84fc748279e31f52e8795","sha256:45e951e6b49e733be93e0a9f7b292095848e3e7e80cbe099464f23b4a5c93c74"],"state_sha256":"2ce623e2a0ea0790d884ad8ba2641a14fa9e1b871b1383156ebac5ab561a29b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7ZsyOG+yEUhXDUmL1pC06zL1/sdJhH1vJwxSwqu60PjgImKgILV2cdhCGdIKPmFxiNhrQucPCEnGZ1fopgLSAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T12:19:54.167185Z","bundle_sha256":"a8a2044264b0820f8385bbdbd7ada34903200f31dcf2557009bace8131a0dd47"}}