{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:2W4HLRFZKZJ25EJBYTLNBNZOMS","short_pith_number":"pith:2W4HLRFZ","schema_version":"1.0","canonical_sha256":"d5b875c4b95653ae9121c4d6d0b72e64afe638392a24081f62dbc1e451c43b65","source":{"kind":"arxiv","id":"0911.5730","version":2},"attestation_state":"computed","paper":{"title":"On Adaptive-Multilevel BDDC","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Bed\\v{r}ich Soused\\'ik, Jan Mandel","submitted_at":"2009-11-30T20:25:47Z","abstract_excerpt":"We combine the advantages of the adaptive and multilevel approaches, proposed previously by the authors, to propose a new method that preserves both, parallel scalability with increasing number of subdomains and excellent convergence properties. Performance of the method is illustrated on a two-dimensional problem of linear elasticity."},"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":"0911.5730","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-11-30T20:25:47Z","cross_cats_sorted":[],"title_canon_sha256":"6b91c3c484735f8088187cb1e4c891da052789409bd8e730aae807dd350415d5","abstract_canon_sha256":"aaa0d07051e68fd65a34d90df7c58c748c7f1c24f1a30222522d031eeda1f113"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:31.868421Z","signature_b64":"QK1xrNZcfzM7vYezy6BfTSsmO4CLyi4DtSJh7Mh4k9loP4/Q2hu3sNzt+33TOk9QCI0nSzlcM+aNr8KF94UfBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5b875c4b95653ae9121c4d6d0b72e64afe638392a24081f62dbc1e451c43b65","last_reissued_at":"2026-05-18T02:47:31.867806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:31.867806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Adaptive-Multilevel BDDC","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Bed\\v{r}ich Soused\\'ik, Jan Mandel","submitted_at":"2009-11-30T20:25:47Z","abstract_excerpt":"We combine the advantages of the adaptive and multilevel approaches, proposed previously by the authors, to propose a new method that preserves both, parallel scalability with increasing number of subdomains and excellent convergence properties. Performance of the method is illustrated on a two-dimensional problem of linear elasticity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5730","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":""},"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":"0911.5730","created_at":"2026-05-18T02:47:31.867898+00:00"},{"alias_kind":"arxiv_version","alias_value":"0911.5730v2","created_at":"2026-05-18T02:47:31.867898+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5730","created_at":"2026-05-18T02:47:31.867898+00:00"},{"alias_kind":"pith_short_12","alias_value":"2W4HLRFZKZJ2","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"2W4HLRFZKZJ25EJB","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"2W4HLRFZ","created_at":"2026-05-18T12:25:58.018023+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/2W4HLRFZKZJ25EJBYTLNBNZOMS","json":"https://pith.science/pith/2W4HLRFZKZJ25EJBYTLNBNZOMS.json","graph_json":"https://pith.science/api/pith-number/2W4HLRFZKZJ25EJBYTLNBNZOMS/graph.json","events_json":"https://pith.science/api/pith-number/2W4HLRFZKZJ25EJBYTLNBNZOMS/events.json","paper":"https://pith.science/paper/2W4HLRFZ"},"agent_actions":{"view_html":"https://pith.science/pith/2W4HLRFZKZJ25EJBYTLNBNZOMS","download_json":"https://pith.science/pith/2W4HLRFZKZJ25EJBYTLNBNZOMS.json","view_paper":"https://pith.science/paper/2W4HLRFZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0911.5730&json=true","fetch_graph":"https://pith.science/api/pith-number/2W4HLRFZKZJ25EJBYTLNBNZOMS/graph.json","fetch_events":"https://pith.science/api/pith-number/2W4HLRFZKZJ25EJBYTLNBNZOMS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2W4HLRFZKZJ25EJBYTLNBNZOMS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2W4HLRFZKZJ25EJBYTLNBNZOMS/action/storage_attestation","attest_author":"https://pith.science/pith/2W4HLRFZKZJ25EJBYTLNBNZOMS/action/author_attestation","sign_citation":"https://pith.science/pith/2W4HLRFZKZJ25EJBYTLNBNZOMS/action/citation_signature","submit_replication":"https://pith.science/pith/2W4HLRFZKZJ25EJBYTLNBNZOMS/action/replication_record"}},"created_at":"2026-05-18T02:47:31.867898+00:00","updated_at":"2026-05-18T02:47:31.867898+00:00"}