{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:IVSUEEOCBWXQZMVVNXCKO5CPKW","short_pith_number":"pith:IVSUEEOC","canonical_record":{"source":{"id":"2608.05682","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-08-06T07:17:12Z","cross_cats_sorted":["physics.chem-ph","physics.comp-ph"],"title_canon_sha256":"c4c1353035e0c5585bb9e37e0dfd10864403bf120d1f5b1295fefbcd82264c83","abstract_canon_sha256":"3873ff4fbaf870825d98fff6fa749c0c6ec766ba696a18f17e8c3253f4d03ede"},"schema_version":"1.0"},"canonical_sha256":"45654211c20daf0cb2b56dc4a7744f5583a1dbd61f95a64c976b2bafe164c697","source":{"kind":"arxiv","id":"2608.05682","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.05682","created_at":"2026-08-07T00:52:20Z"},{"alias_kind":"arxiv_version","alias_value":"2608.05682v1","created_at":"2026-08-07T00:52:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.05682","created_at":"2026-08-07T00:52:20Z"},{"alias_kind":"pith_short_12","alias_value":"IVSUEEOCBWXQ","created_at":"2026-08-07T00:52:20Z"},{"alias_kind":"pith_short_16","alias_value":"IVSUEEOCBWXQZMVV","created_at":"2026-08-07T00:52:20Z"},{"alias_kind":"pith_short_8","alias_value":"IVSUEEOC","created_at":"2026-08-07T00:52:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:IVSUEEOCBWXQZMVVNXCKO5CPKW","target":"record","payload":{"canonical_record":{"source":{"id":"2608.05682","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-08-06T07:17:12Z","cross_cats_sorted":["physics.chem-ph","physics.comp-ph"],"title_canon_sha256":"c4c1353035e0c5585bb9e37e0dfd10864403bf120d1f5b1295fefbcd82264c83","abstract_canon_sha256":"3873ff4fbaf870825d98fff6fa749c0c6ec766ba696a18f17e8c3253f4d03ede"},"schema_version":"1.0"},"canonical_sha256":"45654211c20daf0cb2b56dc4a7744f5583a1dbd61f95a64c976b2bafe164c697","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-07T00:52:20.983185Z","signature_b64":"vPZCrevQYrKncEPmoQdo14pgxjEsiUs1jf0dMVCg7AlgJC30NamsVY40HiVsJ6ufxn2qcIlzX9GcTYmsdBw4Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45654211c20daf0cb2b56dc4a7744f5583a1dbd61f95a64c976b2bafe164c697","last_reissued_at":"2026-08-07T00:52:20.981803Z","signature_status":"signed_v1","first_computed_at":"2026-08-07T00:52:20.981803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.05682","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":"2026-08-07T00:52:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iRMPAElQCxJohiyoYzHNwSUJ/2C/NzrbY4rHqY2zWKh8qRbJ7p0NMsmG6s7CM6t+Qu3xQjw7CdW9Vo4CTQ4sCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T18:40:16.736122Z"},"content_sha256":"e4132fb491ccc1ae1e6f25cbcead924f5747725163749b89e00628c2ea041c30","schema_version":"1.0","event_id":"sha256:e4132fb491ccc1ae1e6f25cbcead924f5747725163749b89e00628c2ea041c30"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:IVSUEEOCBWXQZMVVNXCKO5CPKW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Damped Subspace Splitting Algorithm for Constrained Density Functional Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.chem-ph","physics.comp-ph"],"primary_cat":"math.OC","authors_text":"Guanghui Hu, Xin Liu, Yuanming Su, Yukuan Hu","submitted_at":"2026-08-06T07:17:12Z","abstract_excerpt":"Constrained density functional theory (CDFT) provides a powerful framework for describing electronically excited and charge-localized states, which underlie a broad range of physical and chemical phenomena. However, the discretized optimization problems arising from CDFT calculations remain challenging, owing to the presence of both the Stiefel manifold constraint and additional nonconvex quadratic constraints. Existing algorithms either fail to enforce the quadratic constraints with high accuracy or face convergence issues due to double-loop iterative structures. In this paper, we first deriv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.05682","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.05682/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-08-07T00:52:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iIvdbLLaRj/4i9iebl+NQQ+I73NdO993PmAz0UWZ+sbcnnxQNBJ1MxhZl5VkXul3cOVVLdtgGMsjeO6O++jtBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T18:40:16.736709Z"},"content_sha256":"28c0c84f66c101f771cce0960f2aa6fc6f2e3fdb9eeefe0dde744a2776ef89a5","schema_version":"1.0","event_id":"sha256:28c0c84f66c101f771cce0960f2aa6fc6f2e3fdb9eeefe0dde744a2776ef89a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IVSUEEOCBWXQZMVVNXCKO5CPKW/bundle.json","state_url":"https://pith.science/pith/IVSUEEOCBWXQZMVVNXCKO5CPKW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IVSUEEOCBWXQZMVVNXCKO5CPKW/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":"2026-08-17T18:40:16Z","links":{"resolver":"https://pith.science/pith/IVSUEEOCBWXQZMVVNXCKO5CPKW","bundle":"https://pith.science/pith/IVSUEEOCBWXQZMVVNXCKO5CPKW/bundle.json","state":"https://pith.science/pith/IVSUEEOCBWXQZMVVNXCKO5CPKW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IVSUEEOCBWXQZMVVNXCKO5CPKW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IVSUEEOCBWXQZMVVNXCKO5CPKW","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":"3873ff4fbaf870825d98fff6fa749c0c6ec766ba696a18f17e8c3253f4d03ede","cross_cats_sorted":["physics.chem-ph","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-08-06T07:17:12Z","title_canon_sha256":"c4c1353035e0c5585bb9e37e0dfd10864403bf120d1f5b1295fefbcd82264c83"},"schema_version":"1.0","source":{"id":"2608.05682","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.05682","created_at":"2026-08-07T00:52:20Z"},{"alias_kind":"arxiv_version","alias_value":"2608.05682v1","created_at":"2026-08-07T00:52:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.05682","created_at":"2026-08-07T00:52:20Z"},{"alias_kind":"pith_short_12","alias_value":"IVSUEEOCBWXQ","created_at":"2026-08-07T00:52:20Z"},{"alias_kind":"pith_short_16","alias_value":"IVSUEEOCBWXQZMVV","created_at":"2026-08-07T00:52:20Z"},{"alias_kind":"pith_short_8","alias_value":"IVSUEEOC","created_at":"2026-08-07T00:52:20Z"}],"graph_snapshots":[{"event_id":"sha256:28c0c84f66c101f771cce0960f2aa6fc6f2e3fdb9eeefe0dde744a2776ef89a5","target":"graph","created_at":"2026-08-07T00:52:20Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.05682/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Constrained density functional theory (CDFT) provides a powerful framework for describing electronically excited and charge-localized states, which underlie a broad range of physical and chemical phenomena. However, the discretized optimization problems arising from CDFT calculations remain challenging, owing to the presence of both the Stiefel manifold constraint and additional nonconvex quadratic constraints. Existing algorithms either fail to enforce the quadratic constraints with high accuracy or face convergence issues due to double-loop iterative structures. In this paper, we first deriv","authors_text":"Guanghui Hu, Xin Liu, Yuanming Su, Yukuan Hu","cross_cats":["physics.chem-ph","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-08-06T07:17:12Z","title":"A Damped Subspace Splitting Algorithm for Constrained Density Functional Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.05682","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:e4132fb491ccc1ae1e6f25cbcead924f5747725163749b89e00628c2ea041c30","target":"record","created_at":"2026-08-07T00:52:20Z","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":"3873ff4fbaf870825d98fff6fa749c0c6ec766ba696a18f17e8c3253f4d03ede","cross_cats_sorted":["physics.chem-ph","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-08-06T07:17:12Z","title_canon_sha256":"c4c1353035e0c5585bb9e37e0dfd10864403bf120d1f5b1295fefbcd82264c83"},"schema_version":"1.0","source":{"id":"2608.05682","kind":"arxiv","version":1}},"canonical_sha256":"45654211c20daf0cb2b56dc4a7744f5583a1dbd61f95a64c976b2bafe164c697","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45654211c20daf0cb2b56dc4a7744f5583a1dbd61f95a64c976b2bafe164c697","first_computed_at":"2026-08-07T00:52:20.981803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-07T00:52:20.981803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vPZCrevQYrKncEPmoQdo14pgxjEsiUs1jf0dMVCg7AlgJC30NamsVY40HiVsJ6ufxn2qcIlzX9GcTYmsdBw4Cw==","signature_status":"signed_v1","signed_at":"2026-08-07T00:52:20.983185Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.05682","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4132fb491ccc1ae1e6f25cbcead924f5747725163749b89e00628c2ea041c30","sha256:28c0c84f66c101f771cce0960f2aa6fc6f2e3fdb9eeefe0dde744a2776ef89a5"],"state_sha256":"99b964defbbf095e24481f679280d54bc16910e17ef92a9682d72c7259680637"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ORR7OzG/hXi1swhm+GUUuKESorS3JxOG6o3KKVhXAvZhXZhR2/cfdNTFqexnk/1OwnjImw4G+xoTSNtnFiaBAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T18:40:16.741561Z","bundle_sha256":"29de7f61d67205fd26a51187c189a0290630c512937452640da1ebb4fca00735"}}