{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:COARUSZAUH4NWLJXL47KDYTE2R","short_pith_number":"pith:COARUSZA","canonical_record":{"source":{"id":"1206.6267","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-06-27T13:48:08Z","cross_cats_sorted":[],"title_canon_sha256":"89d0a339ad2ae0e63e530ee81064d25bd3b4a91f49db5ec07128598dc4e53814","abstract_canon_sha256":"ed9dd2bd8c7694b0b9d88f478475ede0d0f75ff53d4e3554c19bccb5853f54fb"},"schema_version":"1.0"},"canonical_sha256":"13811a4b20a1f8db2d375f3ea1e264d4769bcf40961e1edf11addb5c46dae590","source":{"kind":"arxiv","id":"1206.6267","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6267","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6267v1","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6267","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"pith_short_12","alias_value":"COARUSZAUH4N","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"COARUSZAUH4NWLJX","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"COARUSZA","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:COARUSZAUH4NWLJXL47KDYTE2R","target":"record","payload":{"canonical_record":{"source":{"id":"1206.6267","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-06-27T13:48:08Z","cross_cats_sorted":[],"title_canon_sha256":"89d0a339ad2ae0e63e530ee81064d25bd3b4a91f49db5ec07128598dc4e53814","abstract_canon_sha256":"ed9dd2bd8c7694b0b9d88f478475ede0d0f75ff53d4e3554c19bccb5853f54fb"},"schema_version":"1.0"},"canonical_sha256":"13811a4b20a1f8db2d375f3ea1e264d4769bcf40961e1edf11addb5c46dae590","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:41.321154Z","signature_b64":"fm7hm8oJSk61OgNVnF++F7qHCTy/guIy7wasU4eiFhjDiXCLvChifDzfW1dSloHy52w/fXcERBlCtDJsanXqAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13811a4b20a1f8db2d375f3ea1e264d4769bcf40961e1edf11addb5c46dae590","last_reissued_at":"2026-05-18T01:56:41.320787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:41.320787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.6267","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":"2026-05-18T01:56:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KKbP4mXj3wHwJnwkBuMx3djiyF9Rm0wfq26buJRyJfqU5ms10zLNqU/XqUQRDeArbZx+BpoaAmRnrm6o9JYmDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:57:06.615171Z"},"content_sha256":"948367f2262aa16c25bc003789c25fc1506ac5e49094ffb92ddc211f9f94b28e","schema_version":"1.0","event_id":"sha256:948367f2262aa16c25bc003789c25fc1506ac5e49094ffb92ddc211f9f94b28e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:COARUSZAUH4NWLJXL47KDYTE2R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time-dependent density functional theory on a lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"I. V. Tokatly, Mehdi Farzanehpour","submitted_at":"2012-06-27T13:48:08Z","abstract_excerpt":"A time-dependent density functional theory (TDDFT) for a quantum many-body system on a lattice is formulated rigorously. We prove the uniqueness of the density-to-potential mapping and demonstrate that a given density is $v$-representable if the initial many-body state and the density satisfy certain well defined conditions. In particular, we show that for a system evolving from its ground state any density with a continuous second time derivative is $v$-representable and therefore the lattice TDDFT is guaranteed to exist. The TDDFT existence and uniqueness theorem is valid for any connected l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6267","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":"2026-05-18T01:56:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f7tMNLWKkVw3n2hcfHFydTCL4u5AK1SB/DkropDHpNf5fiGtDjj/abt2lgDpztxbogrm3mwPah3LvYz48GalAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:57:06.615866Z"},"content_sha256":"8183ed5a1682b86bf7b43da4679cfc6ae6d2310f0a901f0df95547b3df158f10","schema_version":"1.0","event_id":"sha256:8183ed5a1682b86bf7b43da4679cfc6ae6d2310f0a901f0df95547b3df158f10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/COARUSZAUH4NWLJXL47KDYTE2R/bundle.json","state_url":"https://pith.science/pith/COARUSZAUH4NWLJXL47KDYTE2R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/COARUSZAUH4NWLJXL47KDYTE2R/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":"2026-06-05T20:57:06Z","links":{"resolver":"https://pith.science/pith/COARUSZAUH4NWLJXL47KDYTE2R","bundle":"https://pith.science/pith/COARUSZAUH4NWLJXL47KDYTE2R/bundle.json","state":"https://pith.science/pith/COARUSZAUH4NWLJXL47KDYTE2R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/COARUSZAUH4NWLJXL47KDYTE2R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:COARUSZAUH4NWLJXL47KDYTE2R","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":"ed9dd2bd8c7694b0b9d88f478475ede0d0f75ff53d4e3554c19bccb5853f54fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-06-27T13:48:08Z","title_canon_sha256":"89d0a339ad2ae0e63e530ee81064d25bd3b4a91f49db5ec07128598dc4e53814"},"schema_version":"1.0","source":{"id":"1206.6267","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6267","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6267v1","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6267","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"pith_short_12","alias_value":"COARUSZAUH4N","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"COARUSZAUH4NWLJX","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"COARUSZA","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:8183ed5a1682b86bf7b43da4679cfc6ae6d2310f0a901f0df95547b3df158f10","target":"graph","created_at":"2026-05-18T01:56:41Z","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 time-dependent density functional theory (TDDFT) for a quantum many-body system on a lattice is formulated rigorously. We prove the uniqueness of the density-to-potential mapping and demonstrate that a given density is $v$-representable if the initial many-body state and the density satisfy certain well defined conditions. In particular, we show that for a system evolving from its ground state any density with a continuous second time derivative is $v$-representable and therefore the lattice TDDFT is guaranteed to exist. The TDDFT existence and uniqueness theorem is valid for any connected l","authors_text":"I. V. Tokatly, Mehdi Farzanehpour","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-06-27T13:48:08Z","title":"Time-dependent density functional theory on a lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6267","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":"sha256:948367f2262aa16c25bc003789c25fc1506ac5e49094ffb92ddc211f9f94b28e","target":"record","created_at":"2026-05-18T01:56:41Z","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":"ed9dd2bd8c7694b0b9d88f478475ede0d0f75ff53d4e3554c19bccb5853f54fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-06-27T13:48:08Z","title_canon_sha256":"89d0a339ad2ae0e63e530ee81064d25bd3b4a91f49db5ec07128598dc4e53814"},"schema_version":"1.0","source":{"id":"1206.6267","kind":"arxiv","version":1}},"canonical_sha256":"13811a4b20a1f8db2d375f3ea1e264d4769bcf40961e1edf11addb5c46dae590","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13811a4b20a1f8db2d375f3ea1e264d4769bcf40961e1edf11addb5c46dae590","first_computed_at":"2026-05-18T01:56:41.320787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:41.320787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fm7hm8oJSk61OgNVnF++F7qHCTy/guIy7wasU4eiFhjDiXCLvChifDzfW1dSloHy52w/fXcERBlCtDJsanXqAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:41.321154Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.6267","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:948367f2262aa16c25bc003789c25fc1506ac5e49094ffb92ddc211f9f94b28e","sha256:8183ed5a1682b86bf7b43da4679cfc6ae6d2310f0a901f0df95547b3df158f10"],"state_sha256":"7719e05ad742db1fb94031a253f79a610ad2c190a6004cb95c8acda73b91da5a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wsd4WyPpTQJXsd1GPWe8keKKg6U/JKhi+01eWT8kVoOc4rd43Wg7ukJOoqUTNGrDIgNj+q/7is9oD3AoxjbiCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:57:06.620031Z","bundle_sha256":"816ff6f6d8f5641c2e4a2a4287c7b6e7cdc068975b82b8fd5ea1d65ffcebe2fe"}}