{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:QVJ674K46V23PPUFXLQW5ZMU45","short_pith_number":"pith:QVJ674K4","schema_version":"1.0","canonical_sha256":"8553eff15cf575b7be85bae16ee594e77e5ddc05f3466f97cffdafb4150f16c3","source":{"kind":"arxiv","id":"2009.08725","version":1},"attestation_state":"computed","paper":{"title":"Correction to: A dual iterative substructuring method with a small penalty parameter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Chang-Ock Lee, Eun-Hee Park, Jongho Park","submitted_at":"2020-09-18T09:59:54Z","abstract_excerpt":"In this corrigendum, we offer a correction to [J. Korean. Math. Soc., 54 (2017), pp. 461--477]. We construct a counterexample for the strengthened Cauchy--Schwarz inequality used in the original paper. In addition, we provide a new proof for Lemma 5 of the original paper, an estimate for the extremal eigenvalues of the standard unpreconditioned FETI-DP dual operator."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2009.08725","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-09-18T09:59:54Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"11d3c053610198c2176c1165eb9cd6c4763df1a7acf060ad5f6ccac0526ad931","abstract_canon_sha256":"fd67918c02425e9b1131002c6b982a4dae9b9992cfbc34fcef48688b36f773b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:37:05.644458Z","signature_b64":"DQwXFZ7i8H5Q21lBY3YJEfNqFRZIrqBqwLy/PMmVdZPGlfM03MDp35UR6H6nm4WvFeNf1ntuKXXEiH0wEG9mCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8553eff15cf575b7be85bae16ee594e77e5ddc05f3466f97cffdafb4150f16c3","last_reissued_at":"2026-07-05T02:37:05.643973Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:37:05.643973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Correction to: A dual iterative substructuring method with a small penalty parameter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Chang-Ock Lee, Eun-Hee Park, Jongho Park","submitted_at":"2020-09-18T09:59:54Z","abstract_excerpt":"In this corrigendum, we offer a correction to [J. Korean. Math. Soc., 54 (2017), pp. 461--477]. We construct a counterexample for the strengthened Cauchy--Schwarz inequality used in the original paper. In addition, we provide a new proof for Lemma 5 of the original paper, an estimate for the extremal eigenvalues of the standard unpreconditioned FETI-DP dual operator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.08725","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/2009.08725/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2009.08725","created_at":"2026-07-05T02:37:05.644031+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.08725v1","created_at":"2026-07-05T02:37:05.644031+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.08725","created_at":"2026-07-05T02:37:05.644031+00:00"},{"alias_kind":"pith_short_12","alias_value":"QVJ674K46V23","created_at":"2026-07-05T02:37:05.644031+00:00"},{"alias_kind":"pith_short_16","alias_value":"QVJ674K46V23PPUF","created_at":"2026-07-05T02:37:05.644031+00:00"},{"alias_kind":"pith_short_8","alias_value":"QVJ674K4","created_at":"2026-07-05T02:37:05.644031+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QVJ674K46V23PPUFXLQW5ZMU45","json":"https://pith.science/pith/QVJ674K46V23PPUFXLQW5ZMU45.json","graph_json":"https://pith.science/api/pith-number/QVJ674K46V23PPUFXLQW5ZMU45/graph.json","events_json":"https://pith.science/api/pith-number/QVJ674K46V23PPUFXLQW5ZMU45/events.json","paper":"https://pith.science/paper/QVJ674K4"},"agent_actions":{"view_html":"https://pith.science/pith/QVJ674K46V23PPUFXLQW5ZMU45","download_json":"https://pith.science/pith/QVJ674K46V23PPUFXLQW5ZMU45.json","view_paper":"https://pith.science/paper/QVJ674K4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.08725&json=true","fetch_graph":"https://pith.science/api/pith-number/QVJ674K46V23PPUFXLQW5ZMU45/graph.json","fetch_events":"https://pith.science/api/pith-number/QVJ674K46V23PPUFXLQW5ZMU45/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QVJ674K46V23PPUFXLQW5ZMU45/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QVJ674K46V23PPUFXLQW5ZMU45/action/storage_attestation","attest_author":"https://pith.science/pith/QVJ674K46V23PPUFXLQW5ZMU45/action/author_attestation","sign_citation":"https://pith.science/pith/QVJ674K46V23PPUFXLQW5ZMU45/action/citation_signature","submit_replication":"https://pith.science/pith/QVJ674K46V23PPUFXLQW5ZMU45/action/replication_record"}},"created_at":"2026-07-05T02:37:05.644031+00:00","updated_at":"2026-07-05T02:37:05.644031+00:00"}