{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:6BUWDOPTI5GFSQNPRJOGUH7WJ6","short_pith_number":"pith:6BUWDOPT","canonical_record":{"source":{"id":"1404.0825","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-04-03T10:10:41Z","cross_cats_sorted":["math.MP","physics.chem-ph","quant-ph"],"title_canon_sha256":"645b7408f01bbc633f4cb687803f25f6862c43c113bea9e6762cf5787fcf1716","abstract_canon_sha256":"67fc86bf9ab27fa7d0c7eb6cd07ec88955368d46790f639fb638e6d9efed87e8"},"schema_version":"1.0"},"canonical_sha256":"f06961b9f3474c5941af8a5c6a1ff64fb09bd21d7f2fe90fe024017ff53ee877","source":{"kind":"arxiv","id":"1404.0825","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0825","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0825v1","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0825","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"pith_short_12","alias_value":"6BUWDOPTI5GF","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6BUWDOPTI5GFSQNP","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6BUWDOPT","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:6BUWDOPTI5GFSQNPRJOGUH7WJ6","target":"record","payload":{"canonical_record":{"source":{"id":"1404.0825","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-04-03T10:10:41Z","cross_cats_sorted":["math.MP","physics.chem-ph","quant-ph"],"title_canon_sha256":"645b7408f01bbc633f4cb687803f25f6862c43c113bea9e6762cf5787fcf1716","abstract_canon_sha256":"67fc86bf9ab27fa7d0c7eb6cd07ec88955368d46790f639fb638e6d9efed87e8"},"schema_version":"1.0"},"canonical_sha256":"f06961b9f3474c5941af8a5c6a1ff64fb09bd21d7f2fe90fe024017ff53ee877","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:14.681608Z","signature_b64":"0GHQs9zvCToM4xfQgjwpTU5Ms3Nwr2Kp2W9zm1tg8YtzOHPGnVJhOOt6E+4MHsiNUXQs+k83MiTUnx6IGiuIDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f06961b9f3474c5941af8a5c6a1ff64fb09bd21d7f2fe90fe024017ff53ee877","last_reissued_at":"2026-05-18T02:51:14.681083Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:14.681083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.0825","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":"2026-05-18T02:51:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"czwloxfIdiM4NmFyLbxyRxyx8CgPg36nQc+HMzXLmPURBc2GTp0rIHGv07Zum/SE6bkqk493jX8qe0am1SIxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:05:23.340197Z"},"content_sha256":"561f0647037aa1b5957ecc55d73594ad4f4c0b3f04962f3de29a5ac4454a99d7","schema_version":"1.0","event_id":"sha256:561f0647037aa1b5957ecc55d73594ad4f4c0b3f04962f3de29a5ac4454a99d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:6BUWDOPTI5GFSQNPRJOGUH7WJ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Density Functionals in the Presence of Magnetic Field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.chem-ph","quant-ph"],"primary_cat":"math-ph","authors_text":"Andre Laestadius","submitted_at":"2014-04-03T10:10:41Z","abstract_excerpt":"In this paper density functionals for Coulomb systems subjected to electric and magnetic fields are developed. The density functionals depend on the particle density, $\\rho$, and paramagnetic current density, $j^p$. This approach is motivated by an adapted version of the Vignale and Rasolt formulation of Current Density Functional Theory (CDFT), which establishes a one-to-one correspondence between the non-degenerate ground-state and the particle and paramagnetic current density. Definition of $N$-representable density pairs $(\\rho,j^p)$ is given and it is proven that the set of $v$-representa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0825","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":"2026-05-18T02:51:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bjGBqB5twd/4PTG2iAscEECzjPiYpWjVW8UF2X04UgNFvWrVv/ffNyYPY3YV/dE2rkRtOu6C0MUUH0gprtZKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:05:23.340563Z"},"content_sha256":"9784d313e994e75e5baa53ef08f53e621079d84a0ba70ba0d62bb4102c3c56b9","schema_version":"1.0","event_id":"sha256:9784d313e994e75e5baa53ef08f53e621079d84a0ba70ba0d62bb4102c3c56b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6BUWDOPTI5GFSQNPRJOGUH7WJ6/bundle.json","state_url":"https://pith.science/pith/6BUWDOPTI5GFSQNPRJOGUH7WJ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6BUWDOPTI5GFSQNPRJOGUH7WJ6/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":"2026-06-01T12:05:23Z","links":{"resolver":"https://pith.science/pith/6BUWDOPTI5GFSQNPRJOGUH7WJ6","bundle":"https://pith.science/pith/6BUWDOPTI5GFSQNPRJOGUH7WJ6/bundle.json","state":"https://pith.science/pith/6BUWDOPTI5GFSQNPRJOGUH7WJ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6BUWDOPTI5GFSQNPRJOGUH7WJ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6BUWDOPTI5GFSQNPRJOGUH7WJ6","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":"67fc86bf9ab27fa7d0c7eb6cd07ec88955368d46790f639fb638e6d9efed87e8","cross_cats_sorted":["math.MP","physics.chem-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-04-03T10:10:41Z","title_canon_sha256":"645b7408f01bbc633f4cb687803f25f6862c43c113bea9e6762cf5787fcf1716"},"schema_version":"1.0","source":{"id":"1404.0825","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0825","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0825v1","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0825","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"pith_short_12","alias_value":"6BUWDOPTI5GF","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6BUWDOPTI5GFSQNP","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6BUWDOPT","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:9784d313e994e75e5baa53ef08f53e621079d84a0ba70ba0d62bb4102c3c56b9","target":"graph","created_at":"2026-05-18T02:51:14Z","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 paper density functionals for Coulomb systems subjected to electric and magnetic fields are developed. The density functionals depend on the particle density, $\\rho$, and paramagnetic current density, $j^p$. This approach is motivated by an adapted version of the Vignale and Rasolt formulation of Current Density Functional Theory (CDFT), which establishes a one-to-one correspondence between the non-degenerate ground-state and the particle and paramagnetic current density. Definition of $N$-representable density pairs $(\\rho,j^p)$ is given and it is proven that the set of $v$-representa","authors_text":"Andre Laestadius","cross_cats":["math.MP","physics.chem-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-04-03T10:10:41Z","title":"Density Functionals in the Presence of Magnetic Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0825","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":"sha256:561f0647037aa1b5957ecc55d73594ad4f4c0b3f04962f3de29a5ac4454a99d7","target":"record","created_at":"2026-05-18T02:51:14Z","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":"67fc86bf9ab27fa7d0c7eb6cd07ec88955368d46790f639fb638e6d9efed87e8","cross_cats_sorted":["math.MP","physics.chem-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-04-03T10:10:41Z","title_canon_sha256":"645b7408f01bbc633f4cb687803f25f6862c43c113bea9e6762cf5787fcf1716"},"schema_version":"1.0","source":{"id":"1404.0825","kind":"arxiv","version":1}},"canonical_sha256":"f06961b9f3474c5941af8a5c6a1ff64fb09bd21d7f2fe90fe024017ff53ee877","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f06961b9f3474c5941af8a5c6a1ff64fb09bd21d7f2fe90fe024017ff53ee877","first_computed_at":"2026-05-18T02:51:14.681083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:14.681083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0GHQs9zvCToM4xfQgjwpTU5Ms3Nwr2Kp2W9zm1tg8YtzOHPGnVJhOOt6E+4MHsiNUXQs+k83MiTUnx6IGiuIDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:14.681608Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.0825","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:561f0647037aa1b5957ecc55d73594ad4f4c0b3f04962f3de29a5ac4454a99d7","sha256:9784d313e994e75e5baa53ef08f53e621079d84a0ba70ba0d62bb4102c3c56b9"],"state_sha256":"2625355b62d26272ff06149c5db179e96cad2e5be15ed22c33faf27b6a938fbe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wyhHh63Ee2F4MI02E5xmYa6mkhrREcWp7w1RbFn8bYLNalKkJ0SoQVjGSf8knD7ZYiRQhDgCrC4YygTS8tBbAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:05:23.342548Z","bundle_sha256":"811f2ec380581fb9e99ed908a741c3fc44f9f9fd5cf2ca92a4c87859446ef6c9"}}