{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:L5UFZSVCZJIHDQYUOOATXRMQHK","short_pith_number":"pith:L5UFZSVC","canonical_record":{"source":{"id":"2010.13299","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-10-26T03:01:42Z","cross_cats_sorted":["cs.NA","math.OC"],"title_canon_sha256":"2c5f100223c882eab4379c0777e96176f85e4e3459824d5dac01b4ceb056cae4","abstract_canon_sha256":"7f1003f7530a4f2b6a1540f0424579499c9095881d85a3941f6ddb2a958f354d"},"schema_version":"1.0"},"canonical_sha256":"5f685ccaa2ca5071c31473813bc5903aadc5ab5d60d36493e9709f32f829f339","source":{"kind":"arxiv","id":"2010.13299","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.13299","created_at":"2026-07-05T01:46:04Z"},{"alias_kind":"arxiv_version","alias_value":"2010.13299v1","created_at":"2026-07-05T01:46:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.13299","created_at":"2026-07-05T01:46:04Z"},{"alias_kind":"pith_short_12","alias_value":"L5UFZSVCZJIH","created_at":"2026-07-05T01:46:04Z"},{"alias_kind":"pith_short_16","alias_value":"L5UFZSVCZJIHDQYU","created_at":"2026-07-05T01:46:04Z"},{"alias_kind":"pith_short_8","alias_value":"L5UFZSVC","created_at":"2026-07-05T01:46:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:L5UFZSVCZJIHDQYUOOATXRMQHK","target":"record","payload":{"canonical_record":{"source":{"id":"2010.13299","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-10-26T03:01:42Z","cross_cats_sorted":["cs.NA","math.OC"],"title_canon_sha256":"2c5f100223c882eab4379c0777e96176f85e4e3459824d5dac01b4ceb056cae4","abstract_canon_sha256":"7f1003f7530a4f2b6a1540f0424579499c9095881d85a3941f6ddb2a958f354d"},"schema_version":"1.0"},"canonical_sha256":"5f685ccaa2ca5071c31473813bc5903aadc5ab5d60d36493e9709f32f829f339","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:46:04.641539Z","signature_b64":"g8kYEQJl/ubOYssnC9e74NTeoQAAlSWr2yfhThMW3z1ASymHzz2snCM509R0i6Z/y+Rzso99DKYvfnP/ivqOBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f685ccaa2ca5071c31473813bc5903aadc5ab5d60d36493e9709f32f829f339","last_reissued_at":"2026-07-05T01:46:04.641135Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:46:04.641135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.13299","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":"2026-07-05T01:46:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/25gaI+PO9LR4dtwQDJjbg51VKJlgg8/g8QF3vWqq/xoWDbAMNUe0fbCCNx45p2YLaL6JbyR4Eniev+bOKbNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:36:03.927806Z"},"content_sha256":"a23e19a45301d988b013f27569e6d68cb86176f4cead1a309874dd6bdc1a5010","schema_version":"1.0","event_id":"sha256:a23e19a45301d988b013f27569e6d68cb86176f4cead1a309874dd6bdc1a5010"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:L5UFZSVCZJIHDQYUOOATXRMQHK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Iterative Ensemble Kalman Methods: A Unified Perspective with Some New Variants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.OC"],"primary_cat":"math.NA","authors_text":"Daniel Sanz-Alonso, Neil K. Chada, Yuming Chen","submitted_at":"2020-10-26T03:01:42Z","abstract_excerpt":"This paper provides a unified perspective of iterative ensemble Kalman methods, a family of derivative-free algorithms for parameter reconstruction and other related tasks. We identify, compare and develop three subfamilies of ensemble methods that differ in the objective they seek to minimize and the derivative-based optimization scheme they approximate through the ensemble. Our work emphasizes two principles for the derivation and analysis of iterative ensemble Kalman methods: statistical linearization and continuum limits. Following these guiding principles, we introduce new iterative ensem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.13299","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/2010.13299/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:46:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xBwa0qheMk0qzLXqz5DFLswQO0xKKQ9vqh1GXSIUnpXOvzHOaPIYIirK5bsVjxJKWdMkQADNY5tSLEAIHHesBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:36:03.928324Z"},"content_sha256":"79d0593eecf11d74cd551bf01c1b9792bac702fef0e1405621ad6ccf6991fb8f","schema_version":"1.0","event_id":"sha256:79d0593eecf11d74cd551bf01c1b9792bac702fef0e1405621ad6ccf6991fb8f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L5UFZSVCZJIHDQYUOOATXRMQHK/bundle.json","state_url":"https://pith.science/pith/L5UFZSVCZJIHDQYUOOATXRMQHK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L5UFZSVCZJIHDQYUOOATXRMQHK/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":"2026-08-11T02:36:03Z","links":{"resolver":"https://pith.science/pith/L5UFZSVCZJIHDQYUOOATXRMQHK","bundle":"https://pith.science/pith/L5UFZSVCZJIHDQYUOOATXRMQHK/bundle.json","state":"https://pith.science/pith/L5UFZSVCZJIHDQYUOOATXRMQHK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L5UFZSVCZJIHDQYUOOATXRMQHK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:L5UFZSVCZJIHDQYUOOATXRMQHK","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":"7f1003f7530a4f2b6a1540f0424579499c9095881d85a3941f6ddb2a958f354d","cross_cats_sorted":["cs.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-10-26T03:01:42Z","title_canon_sha256":"2c5f100223c882eab4379c0777e96176f85e4e3459824d5dac01b4ceb056cae4"},"schema_version":"1.0","source":{"id":"2010.13299","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.13299","created_at":"2026-07-05T01:46:04Z"},{"alias_kind":"arxiv_version","alias_value":"2010.13299v1","created_at":"2026-07-05T01:46:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.13299","created_at":"2026-07-05T01:46:04Z"},{"alias_kind":"pith_short_12","alias_value":"L5UFZSVCZJIH","created_at":"2026-07-05T01:46:04Z"},{"alias_kind":"pith_short_16","alias_value":"L5UFZSVCZJIHDQYU","created_at":"2026-07-05T01:46:04Z"},{"alias_kind":"pith_short_8","alias_value":"L5UFZSVC","created_at":"2026-07-05T01:46:04Z"}],"graph_snapshots":[{"event_id":"sha256:79d0593eecf11d74cd551bf01c1b9792bac702fef0e1405621ad6ccf6991fb8f","target":"graph","created_at":"2026-07-05T01:46:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2010.13299/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper provides a unified perspective of iterative ensemble Kalman methods, a family of derivative-free algorithms for parameter reconstruction and other related tasks. We identify, compare and develop three subfamilies of ensemble methods that differ in the objective they seek to minimize and the derivative-based optimization scheme they approximate through the ensemble. Our work emphasizes two principles for the derivation and analysis of iterative ensemble Kalman methods: statistical linearization and continuum limits. Following these guiding principles, we introduce new iterative ensem","authors_text":"Daniel Sanz-Alonso, Neil K. Chada, Yuming Chen","cross_cats":["cs.NA","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-10-26T03:01:42Z","title":"Iterative Ensemble Kalman Methods: A Unified Perspective with Some New Variants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.13299","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:a23e19a45301d988b013f27569e6d68cb86176f4cead1a309874dd6bdc1a5010","target":"record","created_at":"2026-07-05T01:46:04Z","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":"7f1003f7530a4f2b6a1540f0424579499c9095881d85a3941f6ddb2a958f354d","cross_cats_sorted":["cs.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-10-26T03:01:42Z","title_canon_sha256":"2c5f100223c882eab4379c0777e96176f85e4e3459824d5dac01b4ceb056cae4"},"schema_version":"1.0","source":{"id":"2010.13299","kind":"arxiv","version":1}},"canonical_sha256":"5f685ccaa2ca5071c31473813bc5903aadc5ab5d60d36493e9709f32f829f339","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f685ccaa2ca5071c31473813bc5903aadc5ab5d60d36493e9709f32f829f339","first_computed_at":"2026-07-05T01:46:04.641135Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:46:04.641135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g8kYEQJl/ubOYssnC9e74NTeoQAAlSWr2yfhThMW3z1ASymHzz2snCM509R0i6Z/y+Rzso99DKYvfnP/ivqOBA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:46:04.641539Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.13299","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a23e19a45301d988b013f27569e6d68cb86176f4cead1a309874dd6bdc1a5010","sha256:79d0593eecf11d74cd551bf01c1b9792bac702fef0e1405621ad6ccf6991fb8f"],"state_sha256":"28e8851ee05c965c0f6a8d406da76f44096546ed752138a30a57400d53479bf7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1hHoLZF0WB9//S+QyLuOQ1Ugl39sk6efPhYXT//HkchWY9hPFoemRHb2nE09TghA55/xyYowGZ/KdNyhQzCiAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T02:36:03.947674Z","bundle_sha256":"7d9d9e508228d5e12ab3e62beb1c9cb4ecd10c90d8da251c483bc1e9eed0a16c"}}