{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:7A2M72NAL2LA6CZT5C3QLWN6JO","short_pith_number":"pith:7A2M72NA","canonical_record":{"source":{"id":"2606.26693","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-25T07:24:15Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"5c2af1929b96c077784cb9816b7a9ff16bb39255e8b320ba6ab6cadf52a567a6","abstract_canon_sha256":"c1a3b11287b6528c15e27577535058a529649419af432bc980d84241c27a7a64"},"schema_version":"1.0"},"canonical_sha256":"f834cfe9a05e960f0b33e8b705d9be4b8fef1bb1ace87d11fd5b38579edf2ff2","source":{"kind":"arxiv","id":"2606.26693","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.26693","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"arxiv_version","alias_value":"2606.26693v1","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.26693","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"pith_short_12","alias_value":"7A2M72NAL2LA","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"pith_short_16","alias_value":"7A2M72NAL2LA6CZT","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"pith_short_8","alias_value":"7A2M72NA","created_at":"2026-06-26T01:15:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:7A2M72NAL2LA6CZT5C3QLWN6JO","target":"record","payload":{"canonical_record":{"source":{"id":"2606.26693","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-25T07:24:15Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"5c2af1929b96c077784cb9816b7a9ff16bb39255e8b320ba6ab6cadf52a567a6","abstract_canon_sha256":"c1a3b11287b6528c15e27577535058a529649419af432bc980d84241c27a7a64"},"schema_version":"1.0"},"canonical_sha256":"f834cfe9a05e960f0b33e8b705d9be4b8fef1bb1ace87d11fd5b38579edf2ff2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-26T01:15:56.941071Z","signature_b64":"+0IlzW78fBa8w1TD1CdNt+KXKdro//2V5yEbegZI6gA7Vqr/KBnsBe4YatuU4+gAlpbBBBX+r7GwnHhn8uwfCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f834cfe9a05e960f0b33e8b705d9be4b8fef1bb1ace87d11fd5b38579edf2ff2","last_reissued_at":"2026-06-26T01:15:56.940698Z","signature_status":"signed_v1","first_computed_at":"2026-06-26T01:15:56.940698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.26693","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":"2026-06-26T01:15:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vjw2MBo51FaRcICfieYwPp4yvJlQoxaXGPux5NFnx5lGkvw3pn73lOQOUaVdUdDyUDXNBSmteynFStwvQRceCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:17:57.975693Z"},"content_sha256":"00fe1a5ff88732918c4b636a99f7b380c80a90e19c3185d7e902a979a61d8cc9","schema_version":"1.0","event_id":"sha256:00fe1a5ff88732918c4b636a99f7b380c80a90e19c3185d7e902a979a61d8cc9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:7A2M72NAL2LA6CZT5C3QLWN6JO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Preconditioning Magnetic Systems in Kohn-Sham Density Functional Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Antoine Levitt, Cl\\'ementine Barat, Marc Torrent","submitted_at":"2026-06-25T07:24:15Z","abstract_excerpt":"The convergence of the self-consistent field iterations in Kohn-Sham density functional theory can be significantly hindered by the presence of small eigenvalues in the dielectric matrix, which are often associated with electronic phase transitions in magnetic systems. In this work, we study this type of convergence issues and propose a new preconditioning scheme to mitigate them. Our preconditioning scheme is inspired by the Stoner model and based on a non-interacting susceptibility that neglects orbital variations. We demonstrate the effectiveness of our approach on a range of ferromagnetic "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.26693","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/2606.26693/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":"2026-06-26T01:15:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ujn3WoUf1pHlrhTZJ//vcsZ9j7Xv8IaM5IVW8mtKnNiEFoFYdZHNiM3C7WliKmRVvCJeArj54R0piJooy1fcBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:17:57.976082Z"},"content_sha256":"bd6cb352b44e43c423ccaf61e04771b18efd6dbed1e49c231663fc1d9f14d697","schema_version":"1.0","event_id":"sha256:bd6cb352b44e43c423ccaf61e04771b18efd6dbed1e49c231663fc1d9f14d697"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7A2M72NAL2LA6CZT5C3QLWN6JO/bundle.json","state_url":"https://pith.science/pith/7A2M72NAL2LA6CZT5C3QLWN6JO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7A2M72NAL2LA6CZT5C3QLWN6JO/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":"2026-06-27T03:17:57Z","links":{"resolver":"https://pith.science/pith/7A2M72NAL2LA6CZT5C3QLWN6JO","bundle":"https://pith.science/pith/7A2M72NAL2LA6CZT5C3QLWN6JO/bundle.json","state":"https://pith.science/pith/7A2M72NAL2LA6CZT5C3QLWN6JO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7A2M72NAL2LA6CZT5C3QLWN6JO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7A2M72NAL2LA6CZT5C3QLWN6JO","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":"c1a3b11287b6528c15e27577535058a529649419af432bc980d84241c27a7a64","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-25T07:24:15Z","title_canon_sha256":"5c2af1929b96c077784cb9816b7a9ff16bb39255e8b320ba6ab6cadf52a567a6"},"schema_version":"1.0","source":{"id":"2606.26693","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.26693","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"arxiv_version","alias_value":"2606.26693v1","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.26693","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"pith_short_12","alias_value":"7A2M72NAL2LA","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"pith_short_16","alias_value":"7A2M72NAL2LA6CZT","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"pith_short_8","alias_value":"7A2M72NA","created_at":"2026-06-26T01:15:56Z"}],"graph_snapshots":[{"event_id":"sha256:bd6cb352b44e43c423ccaf61e04771b18efd6dbed1e49c231663fc1d9f14d697","target":"graph","created_at":"2026-06-26T01:15:56Z","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/2606.26693/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The convergence of the self-consistent field iterations in Kohn-Sham density functional theory can be significantly hindered by the presence of small eigenvalues in the dielectric matrix, which are often associated with electronic phase transitions in magnetic systems. In this work, we study this type of convergence issues and propose a new preconditioning scheme to mitigate them. Our preconditioning scheme is inspired by the Stoner model and based on a non-interacting susceptibility that neglects orbital variations. We demonstrate the effectiveness of our approach on a range of ferromagnetic ","authors_text":"Antoine Levitt, Cl\\'ementine Barat, Marc Torrent","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-25T07:24:15Z","title":"Preconditioning Magnetic Systems in Kohn-Sham Density Functional Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.26693","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":"sha256:00fe1a5ff88732918c4b636a99f7b380c80a90e19c3185d7e902a979a61d8cc9","target":"record","created_at":"2026-06-26T01:15:56Z","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":"c1a3b11287b6528c15e27577535058a529649419af432bc980d84241c27a7a64","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-25T07:24:15Z","title_canon_sha256":"5c2af1929b96c077784cb9816b7a9ff16bb39255e8b320ba6ab6cadf52a567a6"},"schema_version":"1.0","source":{"id":"2606.26693","kind":"arxiv","version":1}},"canonical_sha256":"f834cfe9a05e960f0b33e8b705d9be4b8fef1bb1ace87d11fd5b38579edf2ff2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f834cfe9a05e960f0b33e8b705d9be4b8fef1bb1ace87d11fd5b38579edf2ff2","first_computed_at":"2026-06-26T01:15:56.940698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T01:15:56.940698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+0IlzW78fBa8w1TD1CdNt+KXKdro//2V5yEbegZI6gA7Vqr/KBnsBe4YatuU4+gAlpbBBBX+r7GwnHhn8uwfCw==","signature_status":"signed_v1","signed_at":"2026-06-26T01:15:56.941071Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.26693","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00fe1a5ff88732918c4b636a99f7b380c80a90e19c3185d7e902a979a61d8cc9","sha256:bd6cb352b44e43c423ccaf61e04771b18efd6dbed1e49c231663fc1d9f14d697"],"state_sha256":"0381938eaed8fccf7f2c3187540a9c82a211c5c045a83982a028b164559e4782"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SylbEaYxUkjtJjija+FfW/gTwc78FpLBKh6aOIp6at8tH7kqBQ7ohDMbR++28IzkOaCIqSiDeGyBAVBFg+fmAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T03:17:57.978071Z","bundle_sha256":"9b62dc8a233eb5cf9bea96d52225f8e816d8928595c627b3c9a063921eb5180a"}}