{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:WG74Z7PTOQ6KV6NDCTSYFJ6VPX","short_pith_number":"pith:WG74Z7PT","canonical_record":{"source":{"id":"1412.7052","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2014-12-22T17:01:09Z","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"title_canon_sha256":"0187d7257cde5ebd1cb4333de3be5d4ca406af6ef7b15ded9705d9d1ab42f91d","abstract_canon_sha256":"379b33cabc5370bdc145f5c7ea5433689bae13ccd96e3a9a98bb8a62c9959628"},"schema_version":"1.0"},"canonical_sha256":"b1bfccfdf3743caaf9a314e582a7d57dfcd73f1ba21d259ea8d784e3a90e709a","source":{"kind":"arxiv","id":"1412.7052","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7052","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7052v2","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7052","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"pith_short_12","alias_value":"WG74Z7PTOQ6K","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WG74Z7PTOQ6KV6ND","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WG74Z7PT","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:WG74Z7PTOQ6KV6NDCTSYFJ6VPX","target":"record","payload":{"canonical_record":{"source":{"id":"1412.7052","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2014-12-22T17:01:09Z","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"title_canon_sha256":"0187d7257cde5ebd1cb4333de3be5d4ca406af6ef7b15ded9705d9d1ab42f91d","abstract_canon_sha256":"379b33cabc5370bdc145f5c7ea5433689bae13ccd96e3a9a98bb8a62c9959628"},"schema_version":"1.0"},"canonical_sha256":"b1bfccfdf3743caaf9a314e582a7d57dfcd73f1ba21d259ea8d784e3a90e709a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:07.666192Z","signature_b64":"/CygijcnWc6FFWKNIzYlVxy3yWqlDPetLLhy4wHMJXjB/PYv86dWT0X1eP42au3Wnym4v1YqGQZ3ER0QhxmsDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1bfccfdf3743caaf9a314e582a7d57dfcd73f1ba21d259ea8d784e3a90e709a","last_reissued_at":"2026-05-18T02:04:07.665357Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:07.665357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.7052","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":"2026-05-18T02:04:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UOLwZq5MXlFLVtb5vQlz5R8PAjdllqjLEiy34U/6dfT44qWdGFNnUqZpAKxE8tmthTR+gOPi6QbkfkcOrMbtDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:19:35.998916Z"},"content_sha256":"429d9a220a5a8d66e16354864930e40d659b0f269a59ee584ac67cea3088765f","schema_version":"1.0","event_id":"sha256:429d9a220a5a8d66e16354864930e40d659b0f269a59ee584ac67cea3088765f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:WG74Z7PTOQ6KV6NDCTSYFJ6VPX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence, Uniqueness, and Construction of the Density-Potential Mapping in Time-Dependent Density-Functional Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"cond-mat.other","authors_text":"Markus Penz, Michael Ruggenthaler, Robert van Leeuwen","submitted_at":"2014-12-22T17:01:09Z","abstract_excerpt":"In this work we review the mapping from densities to potentials in quantum mechanics, which is the basic building block of time-dependent density-functional theory and the Kohn-Sham construction. We first present detailed conditions such that a mapping from potentials to densities is defined by solving the time-dependent Schr\\\"odinger equation. We specifically discuss intricacies connected with the unboundedness of the Hamiltonian and derive the local-force equation. This equation is then used to set up an iterative sequence that determines a potential that generates a specified density via ti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7052","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":"2026-05-18T02:04:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9PRTmUWSZDu4mi4eWj5uPZT4MuooNIG55ybmqcz61L9SItp/ExmzkyYXkPGa90Op9c5v4m+g2mzUkEWffWBNAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:19:35.999643Z"},"content_sha256":"607992db04ee2ca9b59bfe3b425a23c92f981f5d68d77ace6566c3daaa7944cb","schema_version":"1.0","event_id":"sha256:607992db04ee2ca9b59bfe3b425a23c92f981f5d68d77ace6566c3daaa7944cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WG74Z7PTOQ6KV6NDCTSYFJ6VPX/bundle.json","state_url":"https://pith.science/pith/WG74Z7PTOQ6KV6NDCTSYFJ6VPX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WG74Z7PTOQ6KV6NDCTSYFJ6VPX/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":"2026-05-26T00:19:36Z","links":{"resolver":"https://pith.science/pith/WG74Z7PTOQ6KV6NDCTSYFJ6VPX","bundle":"https://pith.science/pith/WG74Z7PTOQ6KV6NDCTSYFJ6VPX/bundle.json","state":"https://pith.science/pith/WG74Z7PTOQ6KV6NDCTSYFJ6VPX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WG74Z7PTOQ6KV6NDCTSYFJ6VPX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WG74Z7PTOQ6KV6NDCTSYFJ6VPX","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":"379b33cabc5370bdc145f5c7ea5433689bae13ccd96e3a9a98bb8a62c9959628","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2014-12-22T17:01:09Z","title_canon_sha256":"0187d7257cde5ebd1cb4333de3be5d4ca406af6ef7b15ded9705d9d1ab42f91d"},"schema_version":"1.0","source":{"id":"1412.7052","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7052","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7052v2","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7052","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"pith_short_12","alias_value":"WG74Z7PTOQ6K","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WG74Z7PTOQ6KV6ND","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WG74Z7PT","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:607992db04ee2ca9b59bfe3b425a23c92f981f5d68d77ace6566c3daaa7944cb","target":"graph","created_at":"2026-05-18T02:04:07Z","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":"In this work we review the mapping from densities to potentials in quantum mechanics, which is the basic building block of time-dependent density-functional theory and the Kohn-Sham construction. We first present detailed conditions such that a mapping from potentials to densities is defined by solving the time-dependent Schr\\\"odinger equation. We specifically discuss intricacies connected with the unboundedness of the Hamiltonian and derive the local-force equation. This equation is then used to set up an iterative sequence that determines a potential that generates a specified density via ti","authors_text":"Markus Penz, Michael Ruggenthaler, Robert van Leeuwen","cross_cats":["cond-mat.str-el","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2014-12-22T17:01:09Z","title":"Existence, Uniqueness, and Construction of the Density-Potential Mapping in Time-Dependent Density-Functional Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7052","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":"sha256:429d9a220a5a8d66e16354864930e40d659b0f269a59ee584ac67cea3088765f","target":"record","created_at":"2026-05-18T02:04:07Z","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":"379b33cabc5370bdc145f5c7ea5433689bae13ccd96e3a9a98bb8a62c9959628","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2014-12-22T17:01:09Z","title_canon_sha256":"0187d7257cde5ebd1cb4333de3be5d4ca406af6ef7b15ded9705d9d1ab42f91d"},"schema_version":"1.0","source":{"id":"1412.7052","kind":"arxiv","version":2}},"canonical_sha256":"b1bfccfdf3743caaf9a314e582a7d57dfcd73f1ba21d259ea8d784e3a90e709a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1bfccfdf3743caaf9a314e582a7d57dfcd73f1ba21d259ea8d784e3a90e709a","first_computed_at":"2026-05-18T02:04:07.665357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:07.665357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/CygijcnWc6FFWKNIzYlVxy3yWqlDPetLLhy4wHMJXjB/PYv86dWT0X1eP42au3Wnym4v1YqGQZ3ER0QhxmsDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:07.666192Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7052","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:429d9a220a5a8d66e16354864930e40d659b0f269a59ee584ac67cea3088765f","sha256:607992db04ee2ca9b59bfe3b425a23c92f981f5d68d77ace6566c3daaa7944cb"],"state_sha256":"3c6360c7e98da5d6308a225317e2a29fded1d0f81b5fedd7241d309b03880c83"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uytCjezZyltaJHSrLQBtBFfi7eC92f852fy58PzqnsPYN944VWvFn92yiStGz6OrET1AuQp2OFVBLYah43OQCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:19:36.003496Z","bundle_sha256":"9f93e48ad941d94bbccbe7a3964b026a3d287ad74b29f6aeb1b49bb40768fdf7"}}