{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:7JQ7RBMLZ3GZIDAVF2M2X6KJ6Q","short_pith_number":"pith:7JQ7RBML","canonical_record":{"source":{"id":"1804.08793","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-24T00:39:21Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"335fe3fa1f56aff0166a4143bd5a9dab536d4eef0c67b8b9b97b51463cd6066e","abstract_canon_sha256":"19718bb0e5c429f2e6eac4fb89456b80e5a7a2fa5137ae8c550b49578dd1833f"},"schema_version":"1.0"},"canonical_sha256":"fa61f8858bcecd940c152e99abf949f43d547aca7cf46ef9d3fecce4a27a6f76","source":{"kind":"arxiv","id":"1804.08793","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08793","created_at":"2026-05-18T00:01:48Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08793v4","created_at":"2026-05-18T00:01:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08793","created_at":"2026-05-18T00:01:48Z"},{"alias_kind":"pith_short_12","alias_value":"7JQ7RBMLZ3GZ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7JQ7RBMLZ3GZIDAV","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7JQ7RBML","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:7JQ7RBMLZ3GZIDAVF2M2X6KJ6Q","target":"record","payload":{"canonical_record":{"source":{"id":"1804.08793","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-24T00:39:21Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"335fe3fa1f56aff0166a4143bd5a9dab536d4eef0c67b8b9b97b51463cd6066e","abstract_canon_sha256":"19718bb0e5c429f2e6eac4fb89456b80e5a7a2fa5137ae8c550b49578dd1833f"},"schema_version":"1.0"},"canonical_sha256":"fa61f8858bcecd940c152e99abf949f43d547aca7cf46ef9d3fecce4a27a6f76","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:48.961106Z","signature_b64":"7QHei5IVSETM20Dd/U0eEJcGCUk0EX7SPsgjQW/UnOF3r9/su+HfzkjOpgk14xW+Wkcd77xvkPaH3Sq1emvEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa61f8858bcecd940c152e99abf949f43d547aca7cf46ef9d3fecce4a27a6f76","last_reissued_at":"2026-05-18T00:01:48.960650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:48.960650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.08793","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:01:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"62VHYRJ8IYuqCYDP8xsraidbl14q8hvCwzWD39SD8PybJbBWz4lfECr7mZJvzW4qQwMyB56/iCpTfLVyHwEICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:26:47.285862Z"},"content_sha256":"ca646fc33a1c87feee51ff655a78cf674c6cd33c972ac4f1e2d0fb84760727d8","schema_version":"1.0","event_id":"sha256:ca646fc33a1c87feee51ff655a78cf674c6cd33c972ac4f1e2d0fb84760727d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:7JQ7RBMLZ3GZIDAVF2M2X6KJ6Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Kohn-Sham iteration on Banach spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"physics.chem-ph","authors_text":"Andre Laestadius, Erik I. Tellgren, Markus Penz, Michael Ruggenthaler, Simen Kvaal, Trygve Helgaker","submitted_at":"2018-04-24T00:39:21Z","abstract_excerpt":"A detailed account of the Kohn-Sham algorithm from quantum chemistry, formulated rigorously in the very general setting of convex analysis on Banach spaces, is given here. Starting from a Levy-Lieb-type functional, its convex and lower semi-continuous extension is regularized to obtain differentiability. This extra layer allows to rigorously introduce, in contrast to the common unregularized approach, a well-defined Kohn-Sham iteration scheme. Convergence in a weak sense is then proven. This generalized formulation is applicable to a wide range of different density-functional theories and poss"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08793","kind":"arxiv","version":4},"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":"2026-05-18T00:01:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F3+BXw9txGXk/ZVA6TMjpdP6VhgL2wW6kDOt3uhZC94G2Cnr7nJ/8lR9iZ8ECEUxFFUvNoKSNXLttbBz6IQyCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:26:47.286209Z"},"content_sha256":"4a9a8fb7bd08ae8ff295a04c50b67a26e46657b08c63890c7088263fd36b6ad7","schema_version":"1.0","event_id":"sha256:4a9a8fb7bd08ae8ff295a04c50b67a26e46657b08c63890c7088263fd36b6ad7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7JQ7RBMLZ3GZIDAVF2M2X6KJ6Q/bundle.json","state_url":"https://pith.science/pith/7JQ7RBMLZ3GZIDAVF2M2X6KJ6Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7JQ7RBMLZ3GZIDAVF2M2X6KJ6Q/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":"2026-06-01T13:26:47Z","links":{"resolver":"https://pith.science/pith/7JQ7RBMLZ3GZIDAVF2M2X6KJ6Q","bundle":"https://pith.science/pith/7JQ7RBMLZ3GZIDAVF2M2X6KJ6Q/bundle.json","state":"https://pith.science/pith/7JQ7RBMLZ3GZIDAVF2M2X6KJ6Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7JQ7RBMLZ3GZIDAVF2M2X6KJ6Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7JQ7RBMLZ3GZIDAVF2M2X6KJ6Q","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":"19718bb0e5c429f2e6eac4fb89456b80e5a7a2fa5137ae8c550b49578dd1833f","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-24T00:39:21Z","title_canon_sha256":"335fe3fa1f56aff0166a4143bd5a9dab536d4eef0c67b8b9b97b51463cd6066e"},"schema_version":"1.0","source":{"id":"1804.08793","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08793","created_at":"2026-05-18T00:01:48Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08793v4","created_at":"2026-05-18T00:01:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08793","created_at":"2026-05-18T00:01:48Z"},{"alias_kind":"pith_short_12","alias_value":"7JQ7RBMLZ3GZ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7JQ7RBMLZ3GZIDAV","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7JQ7RBML","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:4a9a8fb7bd08ae8ff295a04c50b67a26e46657b08c63890c7088263fd36b6ad7","target":"graph","created_at":"2026-05-18T00:01:48Z","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 detailed account of the Kohn-Sham algorithm from quantum chemistry, formulated rigorously in the very general setting of convex analysis on Banach spaces, is given here. Starting from a Levy-Lieb-type functional, its convex and lower semi-continuous extension is regularized to obtain differentiability. This extra layer allows to rigorously introduce, in contrast to the common unregularized approach, a well-defined Kohn-Sham iteration scheme. Convergence in a weak sense is then proven. This generalized formulation is applicable to a wide range of different density-functional theories and poss","authors_text":"Andre Laestadius, Erik I. Tellgren, Markus Penz, Michael Ruggenthaler, Simen Kvaal, Trygve Helgaker","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-24T00:39:21Z","title":"Generalized Kohn-Sham iteration on Banach spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08793","kind":"arxiv","version":4},"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:ca646fc33a1c87feee51ff655a78cf674c6cd33c972ac4f1e2d0fb84760727d8","target":"record","created_at":"2026-05-18T00:01:48Z","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":"19718bb0e5c429f2e6eac4fb89456b80e5a7a2fa5137ae8c550b49578dd1833f","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-24T00:39:21Z","title_canon_sha256":"335fe3fa1f56aff0166a4143bd5a9dab536d4eef0c67b8b9b97b51463cd6066e"},"schema_version":"1.0","source":{"id":"1804.08793","kind":"arxiv","version":4}},"canonical_sha256":"fa61f8858bcecd940c152e99abf949f43d547aca7cf46ef9d3fecce4a27a6f76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa61f8858bcecd940c152e99abf949f43d547aca7cf46ef9d3fecce4a27a6f76","first_computed_at":"2026-05-18T00:01:48.960650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:48.960650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7QHei5IVSETM20Dd/U0eEJcGCUk0EX7SPsgjQW/UnOF3r9/su+HfzkjOpgk14xW+Wkcd77xvkPaH3Sq1emvEAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:48.961106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.08793","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca646fc33a1c87feee51ff655a78cf674c6cd33c972ac4f1e2d0fb84760727d8","sha256:4a9a8fb7bd08ae8ff295a04c50b67a26e46657b08c63890c7088263fd36b6ad7"],"state_sha256":"d29297b33f34121d8c7226a8125dc6c502562bbbc6971e038bdddb2cc6b45991"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WbCmzt6jK6cH0+YCsfC8Tr1wGBeK0et3qivQ0MBJsSnmnwPvk3UfXWilk/IzYDmv0/71s54nvJxCKyDQlZxpCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:26:47.288115Z","bundle_sha256":"b2e477de9a88115c3738af790b21f3d18fdb68607b7270eec4c4dbe999cbf762"}}