{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:QTXLAUBIZ2KXCGLXU66JTKW52K","short_pith_number":"pith:QTXLAUBI","canonical_record":{"source":{"id":"2412.08891","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-12-12T03:08:13Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"efcdc238b245073b2e47c9fa22a52304ce4eb869d2321ad53440141e8308be1a","abstract_canon_sha256":"9e0d678f207d2ad4ff98ede4e98ae1f2d9b1222c14ef862ca26d39655de717dc"},"schema_version":"1.0"},"canonical_sha256":"84eeb05028ce95711977a7bc99aaddd2a435bdf9515add02223b67896ae8629b","source":{"kind":"arxiv","id":"2412.08891","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.08891","created_at":"2026-07-05T12:05:11Z"},{"alias_kind":"arxiv_version","alias_value":"2412.08891v2","created_at":"2026-07-05T12:05:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.08891","created_at":"2026-07-05T12:05:11Z"},{"alias_kind":"pith_short_12","alias_value":"QTXLAUBIZ2KX","created_at":"2026-07-05T12:05:11Z"},{"alias_kind":"pith_short_16","alias_value":"QTXLAUBIZ2KXCGLX","created_at":"2026-07-05T12:05:11Z"},{"alias_kind":"pith_short_8","alias_value":"QTXLAUBI","created_at":"2026-07-05T12:05:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:QTXLAUBIZ2KXCGLXU66JTKW52K","target":"record","payload":{"canonical_record":{"source":{"id":"2412.08891","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-12-12T03:08:13Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"efcdc238b245073b2e47c9fa22a52304ce4eb869d2321ad53440141e8308be1a","abstract_canon_sha256":"9e0d678f207d2ad4ff98ede4e98ae1f2d9b1222c14ef862ca26d39655de717dc"},"schema_version":"1.0"},"canonical_sha256":"84eeb05028ce95711977a7bc99aaddd2a435bdf9515add02223b67896ae8629b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:05:11.531504Z","signature_b64":"acQiQ8xAnBRPU+cjAwt9wXXqOAuYN/zkamHIBdUE4F+Gw+uUMAWarKxX3vkW/ThGPXrwRa8gqibyZ7LncwjuAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84eeb05028ce95711977a7bc99aaddd2a435bdf9515add02223b67896ae8629b","last_reissued_at":"2026-07-05T12:05:11.530850Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:05:11.530850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.08891","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:05:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z/l9Jq0G4NfZpU3F2dYkGN/xef40EgtoaXe97Q+/DzXoL53PnuHRsJSGDNmkxrklmUx9qb9Ll9jL8HhdyHbrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T04:03:03.612593Z"},"content_sha256":"54f1116a449173d56505117107bde7986d289541b48405479e77d0757a2e64cd","schema_version":"1.0","event_id":"sha256:54f1116a449173d56505117107bde7986d289541b48405479e77d0757a2e64cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:QTXLAUBIZ2KXCGLXU66JTKW52K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Theory and numerics of subspace approximation of eigenvalue problems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Coleman Kendrick, Daniel Osei-Kuffuor, Jean-Luc Fattebert, Seung Whan Chung, Siu Wun Cheung, Youngsoo Choi","submitted_at":"2024-12-12T03:08:13Z","abstract_excerpt":"Large-scale eigenvalue problems arise in various fields of science and engineering and demand computationally efficient solutions. In this study, we investigate the subspace approximation for parametric linear eigenvalue problems, aiming to mitigate the computational burden associated with high-fidelity systems. We provide general error estimates under non-simple eigenvalue conditions, establishing some theoretical foundations for understanding the convergence behavior of subspace approximations. Numerical examples, including problems with one-dimensional to three-dimensional spatial domain an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.08891","kind":"arxiv","version":2},"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/2412.08891/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":"2026-07-05T12:05:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZgHRRhuA+3dPIrJAzBd5sq/AEgFqUVEIRQRY/734/QziCAFgkXkAFhNvM6ehn/cWcfF2TDrcu5LK0Qo+Xht6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T04:03:03.613226Z"},"content_sha256":"8209eb293d0fd4cbbc3cd90d8f4193026a414658306cb6fc938a9eba86ff5246","schema_version":"1.0","event_id":"sha256:8209eb293d0fd4cbbc3cd90d8f4193026a414658306cb6fc938a9eba86ff5246"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QTXLAUBIZ2KXCGLXU66JTKW52K/bundle.json","state_url":"https://pith.science/pith/QTXLAUBIZ2KXCGLXU66JTKW52K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QTXLAUBIZ2KXCGLXU66JTKW52K/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":"2026-08-09T04:03:03Z","links":{"resolver":"https://pith.science/pith/QTXLAUBIZ2KXCGLXU66JTKW52K","bundle":"https://pith.science/pith/QTXLAUBIZ2KXCGLXU66JTKW52K/bundle.json","state":"https://pith.science/pith/QTXLAUBIZ2KXCGLXU66JTKW52K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QTXLAUBIZ2KXCGLXU66JTKW52K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:QTXLAUBIZ2KXCGLXU66JTKW52K","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":"9e0d678f207d2ad4ff98ede4e98ae1f2d9b1222c14ef862ca26d39655de717dc","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-12-12T03:08:13Z","title_canon_sha256":"efcdc238b245073b2e47c9fa22a52304ce4eb869d2321ad53440141e8308be1a"},"schema_version":"1.0","source":{"id":"2412.08891","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.08891","created_at":"2026-07-05T12:05:11Z"},{"alias_kind":"arxiv_version","alias_value":"2412.08891v2","created_at":"2026-07-05T12:05:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.08891","created_at":"2026-07-05T12:05:11Z"},{"alias_kind":"pith_short_12","alias_value":"QTXLAUBIZ2KX","created_at":"2026-07-05T12:05:11Z"},{"alias_kind":"pith_short_16","alias_value":"QTXLAUBIZ2KXCGLX","created_at":"2026-07-05T12:05:11Z"},{"alias_kind":"pith_short_8","alias_value":"QTXLAUBI","created_at":"2026-07-05T12:05:11Z"}],"graph_snapshots":[{"event_id":"sha256:8209eb293d0fd4cbbc3cd90d8f4193026a414658306cb6fc938a9eba86ff5246","target":"graph","created_at":"2026-07-05T12:05:11Z","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/2412.08891/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large-scale eigenvalue problems arise in various fields of science and engineering and demand computationally efficient solutions. In this study, we investigate the subspace approximation for parametric linear eigenvalue problems, aiming to mitigate the computational burden associated with high-fidelity systems. We provide general error estimates under non-simple eigenvalue conditions, establishing some theoretical foundations for understanding the convergence behavior of subspace approximations. Numerical examples, including problems with one-dimensional to three-dimensional spatial domain an","authors_text":"Coleman Kendrick, Daniel Osei-Kuffuor, Jean-Luc Fattebert, Seung Whan Chung, Siu Wun Cheung, Youngsoo Choi","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-12-12T03:08:13Z","title":"Theory and numerics of subspace approximation of eigenvalue problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.08891","kind":"arxiv","version":2},"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":"sha256:54f1116a449173d56505117107bde7986d289541b48405479e77d0757a2e64cd","target":"record","created_at":"2026-07-05T12:05:11Z","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":"9e0d678f207d2ad4ff98ede4e98ae1f2d9b1222c14ef862ca26d39655de717dc","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-12-12T03:08:13Z","title_canon_sha256":"efcdc238b245073b2e47c9fa22a52304ce4eb869d2321ad53440141e8308be1a"},"schema_version":"1.0","source":{"id":"2412.08891","kind":"arxiv","version":2}},"canonical_sha256":"84eeb05028ce95711977a7bc99aaddd2a435bdf9515add02223b67896ae8629b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84eeb05028ce95711977a7bc99aaddd2a435bdf9515add02223b67896ae8629b","first_computed_at":"2026-07-05T12:05:11.530850Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:05:11.530850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"acQiQ8xAnBRPU+cjAwt9wXXqOAuYN/zkamHIBdUE4F+Gw+uUMAWarKxX3vkW/ThGPXrwRa8gqibyZ7LncwjuAA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:05:11.531504Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.08891","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54f1116a449173d56505117107bde7986d289541b48405479e77d0757a2e64cd","sha256:8209eb293d0fd4cbbc3cd90d8f4193026a414658306cb6fc938a9eba86ff5246"],"state_sha256":"deef7d99f3214586b4edb20432af93a41b8490f5be74f69b904745e7c5ddf96f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TSFv9F/dPgp5LYE7OOB+7m4nNM2461k1aHy7x5Y8NJ+ZWIWtQEzd3tq0yuAPqHayNKCO8+DxvZ8hlU/7UAyvDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T04:03:03.619796Z","bundle_sha256":"d23d3bf2ea586eae740bea24549610a53c6aac0af98d0eb1ea8232a4fba01bd1"}}