{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3OBUISFJ2HCKIVJK6VE34FHQDG","short_pith_number":"pith:3OBUISFJ","canonical_record":{"source":{"id":"1710.07200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-10-12T15:38:13Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"ed60019aded3ed03c68d09fcacc7c9c46c1eb8ac02b182b42497816ba4b9d1e6","abstract_canon_sha256":"d870f7fa40da128726a8aaa906a17303ec36249253f6cca8edb2c0c2d579aa59"},"schema_version":"1.0"},"canonical_sha256":"db834448a9d1c4a4552af549be14f01985f771ff0c81a82e30f2e531c45cebfd","source":{"kind":"arxiv","id":"1710.07200","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07200","created_at":"2026-05-18T00:32:26Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07200v1","created_at":"2026-05-18T00:32:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07200","created_at":"2026-05-18T00:32:26Z"},{"alias_kind":"pith_short_12","alias_value":"3OBUISFJ2HCK","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3OBUISFJ2HCKIVJK","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3OBUISFJ","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3OBUISFJ2HCKIVJK6VE34FHQDG","target":"record","payload":{"canonical_record":{"source":{"id":"1710.07200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-10-12T15:38:13Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"ed60019aded3ed03c68d09fcacc7c9c46c1eb8ac02b182b42497816ba4b9d1e6","abstract_canon_sha256":"d870f7fa40da128726a8aaa906a17303ec36249253f6cca8edb2c0c2d579aa59"},"schema_version":"1.0"},"canonical_sha256":"db834448a9d1c4a4552af549be14f01985f771ff0c81a82e30f2e531c45cebfd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:26.627837Z","signature_b64":"ts8954rbRMLAJnyHp4A+mSUKAy73yJbthq5IsOb0Km47Xi4smEjDUHag+zaYhNcnl4pHO0Py8vflGv6N6HdCBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db834448a9d1c4a4552af549be14f01985f771ff0c81a82e30f2e531c45cebfd","last_reissued_at":"2026-05-18T00:32:26.627120Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:26.627120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.07200","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":"2026-05-18T00:32:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w+1h0rtxST0ac/yL28Kcfxb9G0JYy73M0MhZ5vWxHwx+Eim2KPNibjCEP3rLaqcMHGYaUIRdsQnXE9E6zOc7AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T06:07:25.539935Z"},"content_sha256":"8160b1825fac0f6b87b10131da88ddbcf4dc4895817b6c455780ff041397b8a1","schema_version":"1.0","event_id":"sha256:8160b1825fac0f6b87b10131da88ddbcf4dc4895817b6c455780ff041397b8a1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3OBUISFJ2HCKIVJK6VE34FHQDG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Newton-Kantorovich-Vietoris method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.FA","authors_text":"Alexander Gasnikov","submitted_at":"2017-10-12T15:38:13Z","abstract_excerpt":"In this short work we consider nonlinear equation in Banach space $x = A(x)$. We combine classical Newton method with Vietoris method to propose new more general method. Under rather general conditions about the noise we investigate local convergence of the method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07200","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":"2026-05-18T00:32:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XGIm0HsxCXPb9cc8tZgaeqgusUHMl7oBORTY6UMOxz91aryqI4UzKzz2wQegC44byno/uU+7MrnXFUH7NoFhBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T06:07:25.540268Z"},"content_sha256":"853c1d8404f7c4e0781c66f4a1fee7641efd3bd1c90d8b1cf15b558fc9066437","schema_version":"1.0","event_id":"sha256:853c1d8404f7c4e0781c66f4a1fee7641efd3bd1c90d8b1cf15b558fc9066437"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3OBUISFJ2HCKIVJK6VE34FHQDG/bundle.json","state_url":"https://pith.science/pith/3OBUISFJ2HCKIVJK6VE34FHQDG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3OBUISFJ2HCKIVJK6VE34FHQDG/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":"2026-06-20T06:07:25Z","links":{"resolver":"https://pith.science/pith/3OBUISFJ2HCKIVJK6VE34FHQDG","bundle":"https://pith.science/pith/3OBUISFJ2HCKIVJK6VE34FHQDG/bundle.json","state":"https://pith.science/pith/3OBUISFJ2HCKIVJK6VE34FHQDG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3OBUISFJ2HCKIVJK6VE34FHQDG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3OBUISFJ2HCKIVJK6VE34FHQDG","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":"d870f7fa40da128726a8aaa906a17303ec36249253f6cca8edb2c0c2d579aa59","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-10-12T15:38:13Z","title_canon_sha256":"ed60019aded3ed03c68d09fcacc7c9c46c1eb8ac02b182b42497816ba4b9d1e6"},"schema_version":"1.0","source":{"id":"1710.07200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07200","created_at":"2026-05-18T00:32:26Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07200v1","created_at":"2026-05-18T00:32:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07200","created_at":"2026-05-18T00:32:26Z"},{"alias_kind":"pith_short_12","alias_value":"3OBUISFJ2HCK","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3OBUISFJ2HCKIVJK","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3OBUISFJ","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:853c1d8404f7c4e0781c66f4a1fee7641efd3bd1c90d8b1cf15b558fc9066437","target":"graph","created_at":"2026-05-18T00:32:26Z","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 short work we consider nonlinear equation in Banach space $x = A(x)$. We combine classical Newton method with Vietoris method to propose new more general method. Under rather general conditions about the noise we investigate local convergence of the method.","authors_text":"Alexander Gasnikov","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-10-12T15:38:13Z","title":"Newton-Kantorovich-Vietoris method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07200","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":"sha256:8160b1825fac0f6b87b10131da88ddbcf4dc4895817b6c455780ff041397b8a1","target":"record","created_at":"2026-05-18T00:32:26Z","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":"d870f7fa40da128726a8aaa906a17303ec36249253f6cca8edb2c0c2d579aa59","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-10-12T15:38:13Z","title_canon_sha256":"ed60019aded3ed03c68d09fcacc7c9c46c1eb8ac02b182b42497816ba4b9d1e6"},"schema_version":"1.0","source":{"id":"1710.07200","kind":"arxiv","version":1}},"canonical_sha256":"db834448a9d1c4a4552af549be14f01985f771ff0c81a82e30f2e531c45cebfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db834448a9d1c4a4552af549be14f01985f771ff0c81a82e30f2e531c45cebfd","first_computed_at":"2026-05-18T00:32:26.627120Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:26.627120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ts8954rbRMLAJnyHp4A+mSUKAy73yJbthq5IsOb0Km47Xi4smEjDUHag+zaYhNcnl4pHO0Py8vflGv6N6HdCBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:26.627837Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.07200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8160b1825fac0f6b87b10131da88ddbcf4dc4895817b6c455780ff041397b8a1","sha256:853c1d8404f7c4e0781c66f4a1fee7641efd3bd1c90d8b1cf15b558fc9066437"],"state_sha256":"f59d983db563255614584d550165e46cb7b4e97cef079095da8e57ce16882105"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bEItlgzhV4PT3WflFSjtxc4/FUFNFXpr/zER5S2494XhLAAvdrbn6s79hNTP+yLc3bR0KritoN1UF5pkDXZbAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T06:07:25.542094Z","bundle_sha256":"9ebdd97df081081c703794ed682d0dbe6e5e0697d0cf2d4175be7a6cefc9e570"}}