{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:BTCS5G6RPWK34YVFOO23EHHPUY","short_pith_number":"pith:BTCS5G6R","canonical_record":{"source":{"id":"2105.11341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-05-24T15:20:21Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"4bdb9a7ce35f17315c64ae4187482446420439acaba0d625eaac5fb6418823c9","abstract_canon_sha256":"2f8395973f49fe82ca085e97e7c4e8921c43979afd3c37fedc073ea31adeea4b"},"schema_version":"1.0"},"canonical_sha256":"0cc52e9bd17d95be62a573b5b21cefa62efd7b9fcbbe677d39bb1c4c8104ba9c","source":{"kind":"arxiv","id":"2105.11341","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.11341","created_at":"2026-07-05T02:42:37Z"},{"alias_kind":"arxiv_version","alias_value":"2105.11341v1","created_at":"2026-07-05T02:42:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.11341","created_at":"2026-07-05T02:42:37Z"},{"alias_kind":"pith_short_12","alias_value":"BTCS5G6RPWK3","created_at":"2026-07-05T02:42:37Z"},{"alias_kind":"pith_short_16","alias_value":"BTCS5G6RPWK34YVF","created_at":"2026-07-05T02:42:37Z"},{"alias_kind":"pith_short_8","alias_value":"BTCS5G6R","created_at":"2026-07-05T02:42:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:BTCS5G6RPWK34YVFOO23EHHPUY","target":"record","payload":{"canonical_record":{"source":{"id":"2105.11341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-05-24T15:20:21Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"4bdb9a7ce35f17315c64ae4187482446420439acaba0d625eaac5fb6418823c9","abstract_canon_sha256":"2f8395973f49fe82ca085e97e7c4e8921c43979afd3c37fedc073ea31adeea4b"},"schema_version":"1.0"},"canonical_sha256":"0cc52e9bd17d95be62a573b5b21cefa62efd7b9fcbbe677d39bb1c4c8104ba9c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:42:37.653588Z","signature_b64":"EAjfhInG8ptfHNfTyKAMOC1iS14UVLHTxi5hOPPgWxfbT7bWc3ua9UKSSiF84IQNhvBeYBBM8mxSdWY4KvusBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cc52e9bd17d95be62a573b5b21cefa62efd7b9fcbbe677d39bb1c4c8104ba9c","last_reissued_at":"2026-07-05T02:42:37.653131Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:42:37.653131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.11341","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":"2026-07-05T02:42:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hq3QfzK+ZuGhRZm1R8Da5nJgg4s4awaYsLaHG/N1Pg0WzI/0c7Wvwy/fJ0Nsgcl2QPuL5LMTJ8BZiKmbNSJIDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T12:37:08.711836Z"},"content_sha256":"d3202d7108785af42e3627403d79c26b19f838111936cc4e82da949051855814","schema_version":"1.0","event_id":"sha256:d3202d7108785af42e3627403d79c26b19f838111936cc4e82da949051855814"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:BTCS5G6RPWK34YVFOO23EHHPUY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sampling error correction in ensemble Kalman inversion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Yoonsang Lee","submitted_at":"2021-05-24T15:20:21Z","abstract_excerpt":"Ensemble Kalman inversion is a parallelizable derivative-free method to solve inverse problems. The method uses an ensemble that follows the Kalman update formula iteratively to solve an optimization problem. The ensemble size is crucial to capture the correct statistical information in estimating the unknown variable of interest. Still, the ensemble is limited to a size smaller than the unknown variable's dimension for computational efficiency. This study proposes a strategy to correct the sampling error due to a small ensemble size, which improves the performance of the ensemble Kalman inver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.11341","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/2105.11341/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":"2026-07-05T02:42:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ba+NszV7ur8Puc5h2er2trdqFZjCuakqq53agmzM0jq5c13TljKpVmzDgCX2Nldd5kBgGFdHTrdLgDgu909zAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T12:37:08.712117Z"},"content_sha256":"4930b697947bfc5de6cc607db1d358b5895ef752406af85ee3d11b3f83882d7e","schema_version":"1.0","event_id":"sha256:4930b697947bfc5de6cc607db1d358b5895ef752406af85ee3d11b3f83882d7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BTCS5G6RPWK34YVFOO23EHHPUY/bundle.json","state_url":"https://pith.science/pith/BTCS5G6RPWK34YVFOO23EHHPUY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BTCS5G6RPWK34YVFOO23EHHPUY/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":"2026-08-17T12:37:08Z","links":{"resolver":"https://pith.science/pith/BTCS5G6RPWK34YVFOO23EHHPUY","bundle":"https://pith.science/pith/BTCS5G6RPWK34YVFOO23EHHPUY/bundle.json","state":"https://pith.science/pith/BTCS5G6RPWK34YVFOO23EHHPUY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BTCS5G6RPWK34YVFOO23EHHPUY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:BTCS5G6RPWK34YVFOO23EHHPUY","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":"2f8395973f49fe82ca085e97e7c4e8921c43979afd3c37fedc073ea31adeea4b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-05-24T15:20:21Z","title_canon_sha256":"4bdb9a7ce35f17315c64ae4187482446420439acaba0d625eaac5fb6418823c9"},"schema_version":"1.0","source":{"id":"2105.11341","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.11341","created_at":"2026-07-05T02:42:37Z"},{"alias_kind":"arxiv_version","alias_value":"2105.11341v1","created_at":"2026-07-05T02:42:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.11341","created_at":"2026-07-05T02:42:37Z"},{"alias_kind":"pith_short_12","alias_value":"BTCS5G6RPWK3","created_at":"2026-07-05T02:42:37Z"},{"alias_kind":"pith_short_16","alias_value":"BTCS5G6RPWK34YVF","created_at":"2026-07-05T02:42:37Z"},{"alias_kind":"pith_short_8","alias_value":"BTCS5G6R","created_at":"2026-07-05T02:42:37Z"}],"graph_snapshots":[{"event_id":"sha256:4930b697947bfc5de6cc607db1d358b5895ef752406af85ee3d11b3f83882d7e","target":"graph","created_at":"2026-07-05T02:42:37Z","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/2105.11341/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Ensemble Kalman inversion is a parallelizable derivative-free method to solve inverse problems. The method uses an ensemble that follows the Kalman update formula iteratively to solve an optimization problem. The ensemble size is crucial to capture the correct statistical information in estimating the unknown variable of interest. Still, the ensemble is limited to a size smaller than the unknown variable's dimension for computational efficiency. This study proposes a strategy to correct the sampling error due to a small ensemble size, which improves the performance of the ensemble Kalman inver","authors_text":"Yoonsang Lee","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-05-24T15:20:21Z","title":"Sampling error correction in ensemble Kalman inversion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.11341","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:d3202d7108785af42e3627403d79c26b19f838111936cc4e82da949051855814","target":"record","created_at":"2026-07-05T02:42:37Z","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":"2f8395973f49fe82ca085e97e7c4e8921c43979afd3c37fedc073ea31adeea4b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-05-24T15:20:21Z","title_canon_sha256":"4bdb9a7ce35f17315c64ae4187482446420439acaba0d625eaac5fb6418823c9"},"schema_version":"1.0","source":{"id":"2105.11341","kind":"arxiv","version":1}},"canonical_sha256":"0cc52e9bd17d95be62a573b5b21cefa62efd7b9fcbbe677d39bb1c4c8104ba9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cc52e9bd17d95be62a573b5b21cefa62efd7b9fcbbe677d39bb1c4c8104ba9c","first_computed_at":"2026-07-05T02:42:37.653131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:42:37.653131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EAjfhInG8ptfHNfTyKAMOC1iS14UVLHTxi5hOPPgWxfbT7bWc3ua9UKSSiF84IQNhvBeYBBM8mxSdWY4KvusBw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:42:37.653588Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.11341","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3202d7108785af42e3627403d79c26b19f838111936cc4e82da949051855814","sha256:4930b697947bfc5de6cc607db1d358b5895ef752406af85ee3d11b3f83882d7e"],"state_sha256":"4fa668cad9b8468fe5050171a0bbd103b104e068ed5c411fad2d64e9d7c7404b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ns8Pw99vJNulBdOk/jWMqaP/1182tUDqxzZUp5aBf+0tiY7Ppb73QmrELG2emDoJsM4tyajzj5Kriwu4ubjKBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T12:37:08.714322Z","bundle_sha256":"ee1ca8c87587115123a4d5620b81d3fdad12afac454ba98be5e2f4b7b52122c5"}}