{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VKMP3L4MJELRVV6XSDJNBY6YJ6","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":"e350454733f131887321f6027ec499dedcaf92146973a33b31b8a6450c77aa6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-07-19T14:35:21Z","title_canon_sha256":"bc7b7075ccd36d7c112a322f76304f1f12767a5c976da18a12c2e6434291034d"},"schema_version":"1.0","source":{"id":"1407.5189","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5189","created_at":"2026-05-18T02:47:14Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5189v1","created_at":"2026-05-18T02:47:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5189","created_at":"2026-05-18T02:47:14Z"},{"alias_kind":"pith_short_12","alias_value":"VKMP3L4MJELR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VKMP3L4MJELRVV6X","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VKMP3L4M","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:1923d65dac68b93d38f2a8dbe91a499a1d5af7a0e61daa6f95e98e5f55e2185b","target":"graph","created_at":"2026-05-18T02:47:14Z","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"},"paper":{"abstract_excerpt":"In this paper we investigate an adaptive discretization strategy for ill-posed linear prob- lems combined with a regularization from a class of semiiterative methods. We show that such a discretization approach in combination with a stopping criterion as the discrepancy principle or the balancing principle yields an order optimal regularization scheme and allows to reduce the computational costs.","authors_text":"Evgeniya V. Semenova, Wolfgang Erb","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-07-19T14:35:21Z","title":"On adaptive discretization schemes for the regularization of ill-posed problems with semiiterative methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5189","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":"sha256:7c8364f4e14d8d939f744f1bf62f1e0cebea14e9ab70015ec470181abfcd40eb","target":"record","created_at":"2026-05-18T02:47:14Z","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":"e350454733f131887321f6027ec499dedcaf92146973a33b31b8a6450c77aa6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-07-19T14:35:21Z","title_canon_sha256":"bc7b7075ccd36d7c112a322f76304f1f12767a5c976da18a12c2e6434291034d"},"schema_version":"1.0","source":{"id":"1407.5189","kind":"arxiv","version":1}},"canonical_sha256":"aa98fdaf8c49171ad7d790d2d0e3d84fa205bfc1c9f0b08a56171d539c8bd667","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa98fdaf8c49171ad7d790d2d0e3d84fa205bfc1c9f0b08a56171d539c8bd667","first_computed_at":"2026-05-18T02:47:14.735435Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:14.735435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QWFrH5RwZWZtZMaulMu3LNBXollWZ/J5N+H58Jakuc4di8SQE9xIgCIGJz+Wl74h7vnPupn5Q5KaR8T9FDUCDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:14.736092Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5189","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c8364f4e14d8d939f744f1bf62f1e0cebea14e9ab70015ec470181abfcd40eb","sha256:1923d65dac68b93d38f2a8dbe91a499a1d5af7a0e61daa6f95e98e5f55e2185b"],"state_sha256":"bbe80f7dd745ec53e3c6e56d3cab70046144a84e33336b94c3f391362ec1536b"}