{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ICGQD73RDHWYA4ALHJOCNSBDF3","short_pith_number":"pith:ICGQD73R","canonical_record":{"source":{"id":"1408.5026","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-21T14:57:33Z","cross_cats_sorted":[],"title_canon_sha256":"da265d36bf2fa89a9ecfcd4b6e215ec6405eeb87e7b616a6ab52886bde263c69","abstract_canon_sha256":"55b9c767ecf8303b694125817ac48f1aaece6868de00bd114ea5dbdd0cf34174"},"schema_version":"1.0"},"canonical_sha256":"408d01ff7119ed80700b3a5c26c8232ece2c3fbd0836f566f6168fbf9b37d875","source":{"kind":"arxiv","id":"1408.5026","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.5026","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"arxiv_version","alias_value":"1408.5026v1","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.5026","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"pith_short_12","alias_value":"ICGQD73RDHWY","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"ICGQD73RDHWYA4AL","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"ICGQD73R","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ICGQD73RDHWYA4ALHJOCNSBDF3","target":"record","payload":{"canonical_record":{"source":{"id":"1408.5026","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-21T14:57:33Z","cross_cats_sorted":[],"title_canon_sha256":"da265d36bf2fa89a9ecfcd4b6e215ec6405eeb87e7b616a6ab52886bde263c69","abstract_canon_sha256":"55b9c767ecf8303b694125817ac48f1aaece6868de00bd114ea5dbdd0cf34174"},"schema_version":"1.0"},"canonical_sha256":"408d01ff7119ed80700b3a5c26c8232ece2c3fbd0836f566f6168fbf9b37d875","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:40.871375Z","signature_b64":"EA6LBv3+euGwf04BZ3vzf+traK6KSwtfBz9Bui6Vaf3sxN6Kuhdgx1ZpWWfX95jj3/DXqDxU015N0ML9qtPdCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"408d01ff7119ed80700b3a5c26c8232ece2c3fbd0836f566f6168fbf9b37d875","last_reissued_at":"2026-05-18T02:44:40.870878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:40.870878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.5026","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":"2026-05-18T02:44:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Svhw09w/9HX3gzbRk7Fi528xeDnEDLY4HP/WtfY6+mGzoYIeDY+bKilMq6h6uGvmdqe2EbJ0KvfbSss5WYobCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T20:18:47.961235Z"},"content_sha256":"22ceeead74382f1e20b029f3d00dafcce460ec39ebc6461d05ab217769e32dff","schema_version":"1.0","event_id":"sha256:22ceeead74382f1e20b029f3d00dafcce460ec39ebc6461d05ab217769e32dff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ICGQD73RDHWYA4ALHJOCNSBDF3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Enhanced choice of the parameters in an iteratively regularized Newton-Landweber iteration in Banach space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Barbara Kaltenbacher, Ivan Tomba","submitted_at":"2014-08-21T14:57:33Z","abstract_excerpt":"This paper is a close follow-up of Kaltenbacher and Tomba 2013 and Jin 2012, where Newton-Landweber iterations have been shown to converge either (unconditionally) without rates or (under an additional regularity assumption) with rates. The choice of the parameters in the method were different in each of these two cases. We now found a unified and more general strategy for choosing these parameters that enables both convergence and convergence rates. Moreover, as opposed to the previous one, this choice yields strong convergence as the noise level tends to zero, also in the case of no addition"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5026","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":""},"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":"2026-05-18T02:44:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yTAhk7ekoWZEftWO/3B62N8BkU2LW7TShPir5HmdrNeNlvfbZrCVIGcnclJ03HV5dbEPsD6cgQjnw2PYwNKLDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T20:18:47.961600Z"},"content_sha256":"c09fe8d632585a29261c94bcc65e4b1220a3a24b17aa4f91d99dd4994616fdf2","schema_version":"1.0","event_id":"sha256:c09fe8d632585a29261c94bcc65e4b1220a3a24b17aa4f91d99dd4994616fdf2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ICGQD73RDHWYA4ALHJOCNSBDF3/bundle.json","state_url":"https://pith.science/pith/ICGQD73RDHWYA4ALHJOCNSBDF3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ICGQD73RDHWYA4ALHJOCNSBDF3/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":"2026-06-20T20:18:47Z","links":{"resolver":"https://pith.science/pith/ICGQD73RDHWYA4ALHJOCNSBDF3","bundle":"https://pith.science/pith/ICGQD73RDHWYA4ALHJOCNSBDF3/bundle.json","state":"https://pith.science/pith/ICGQD73RDHWYA4ALHJOCNSBDF3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ICGQD73RDHWYA4ALHJOCNSBDF3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ICGQD73RDHWYA4ALHJOCNSBDF3","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":"55b9c767ecf8303b694125817ac48f1aaece6868de00bd114ea5dbdd0cf34174","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-21T14:57:33Z","title_canon_sha256":"da265d36bf2fa89a9ecfcd4b6e215ec6405eeb87e7b616a6ab52886bde263c69"},"schema_version":"1.0","source":{"id":"1408.5026","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.5026","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"arxiv_version","alias_value":"1408.5026v1","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.5026","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"pith_short_12","alias_value":"ICGQD73RDHWY","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"ICGQD73RDHWYA4AL","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"ICGQD73R","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:c09fe8d632585a29261c94bcc65e4b1220a3a24b17aa4f91d99dd4994616fdf2","target":"graph","created_at":"2026-05-18T02:44:40Z","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":"This paper is a close follow-up of Kaltenbacher and Tomba 2013 and Jin 2012, where Newton-Landweber iterations have been shown to converge either (unconditionally) without rates or (under an additional regularity assumption) with rates. The choice of the parameters in the method were different in each of these two cases. We now found a unified and more general strategy for choosing these parameters that enables both convergence and convergence rates. Moreover, as opposed to the previous one, this choice yields strong convergence as the noise level tends to zero, also in the case of no addition","authors_text":"Barbara Kaltenbacher, Ivan Tomba","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-21T14:57:33Z","title":"Enhanced choice of the parameters in an iteratively regularized Newton-Landweber iteration in Banach space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5026","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":"sha256:22ceeead74382f1e20b029f3d00dafcce460ec39ebc6461d05ab217769e32dff","target":"record","created_at":"2026-05-18T02:44:40Z","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":"55b9c767ecf8303b694125817ac48f1aaece6868de00bd114ea5dbdd0cf34174","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-21T14:57:33Z","title_canon_sha256":"da265d36bf2fa89a9ecfcd4b6e215ec6405eeb87e7b616a6ab52886bde263c69"},"schema_version":"1.0","source":{"id":"1408.5026","kind":"arxiv","version":1}},"canonical_sha256":"408d01ff7119ed80700b3a5c26c8232ece2c3fbd0836f566f6168fbf9b37d875","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"408d01ff7119ed80700b3a5c26c8232ece2c3fbd0836f566f6168fbf9b37d875","first_computed_at":"2026-05-18T02:44:40.870878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:40.870878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EA6LBv3+euGwf04BZ3vzf+traK6KSwtfBz9Bui6Vaf3sxN6Kuhdgx1ZpWWfX95jj3/DXqDxU015N0ML9qtPdCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:40.871375Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.5026","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22ceeead74382f1e20b029f3d00dafcce460ec39ebc6461d05ab217769e32dff","sha256:c09fe8d632585a29261c94bcc65e4b1220a3a24b17aa4f91d99dd4994616fdf2"],"state_sha256":"c86d5834c467a55a710ef48c5029ab37bade6ea70b3b1ea325fc6b4a688ad4b0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yBBhpQl/aBb5ZkqsmK5mw95dQaFGq/WcwGZMyFcQ3uYgPAe20NoA8MVmgxf0EV790b3LWpwdEM7bapwvAVN0Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T20:18:47.963516Z","bundle_sha256":"c9917ed4ff587114a80252acc34185bbdc397c4b98cb0b097c76c1588873d36c"}}