{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WGJKHZZLEXFXEUGIBVIXR5Z4QL","short_pith_number":"pith:WGJKHZZL","canonical_record":{"source":{"id":"1609.06044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-09-20T07:41:57Z","cross_cats_sorted":[],"title_canon_sha256":"28b5bbfbebf4c24ea93ec8eefe79f3d8ac6b077163611817524561f8444a9660","abstract_canon_sha256":"4d7f32fcf1bac4a421632afa746f6c116172bded50942c2ccdd2d71b36135e28"},"schema_version":"1.0"},"canonical_sha256":"b192a3e72b25cb7250c80d5178f73c82d9e62b15b42666138a6ecada69a6391a","source":{"kind":"arxiv","id":"1609.06044","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06044","created_at":"2026-05-18T01:04:16Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06044v1","created_at":"2026-05-18T01:04:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06044","created_at":"2026-05-18T01:04:16Z"},{"alias_kind":"pith_short_12","alias_value":"WGJKHZZLEXFX","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WGJKHZZLEXFXEUGI","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WGJKHZZL","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WGJKHZZLEXFXEUGIBVIXR5Z4QL","target":"record","payload":{"canonical_record":{"source":{"id":"1609.06044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-09-20T07:41:57Z","cross_cats_sorted":[],"title_canon_sha256":"28b5bbfbebf4c24ea93ec8eefe79f3d8ac6b077163611817524561f8444a9660","abstract_canon_sha256":"4d7f32fcf1bac4a421632afa746f6c116172bded50942c2ccdd2d71b36135e28"},"schema_version":"1.0"},"canonical_sha256":"b192a3e72b25cb7250c80d5178f73c82d9e62b15b42666138a6ecada69a6391a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:16.849401Z","signature_b64":"eZUDnCrX29v0z9R1hVjDvSAp+plaxo7CaEZLJx/lJCJrQQuuuPeaUsoVI5jbXEhCg9snWzRN265J4/KKI5MsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b192a3e72b25cb7250c80d5178f73c82d9e62b15b42666138a6ecada69a6391a","last_reissued_at":"2026-05-18T01:04:16.849038Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:16.849038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.06044","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":"2026-05-18T01:04:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"boLTc7wgPjcdJzF/YOkOalWU2TWsWR8MhYw7uVjjkIfVViipGVdYrceaOxhS5KFTLaJNvmiZivUGfct9MBE3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:15:53.949844Z"},"content_sha256":"7c51ea8ea3875dc8a20005bb0d895ecfb0b6c2aeec71fc959287c79980166796","schema_version":"1.0","event_id":"sha256:7c51ea8ea3875dc8a20005bb0d895ecfb0b6c2aeec71fc959287c79980166796"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WGJKHZZLEXFXEUGIBVIXR5Z4QL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stabilized nonconforming finite element methods for data assimilation in incompressible flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Erik Burman, Peter Hansbo","submitted_at":"2016-09-20T07:41:57Z","abstract_excerpt":"We consider a stabilized nonconforming finite element method for data assimilation in incompressible flow subject to the Stokes' equations. The method uses a primal dual structure that allows for the inclusion of nonstandard data. Error estimates are obtained that are optimal compared to the conditional stability of the ill-posed data assimilation problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06044","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":"2026-05-18T01:04:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wjZ3hy81j9v8E6+nVeF3ATiVoJB5+J4k4aOmv75RnfTvsUWet7Dlpd/+KJN5L5eQsul+/xzqYIPzS53TjnkwBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:15:53.950494Z"},"content_sha256":"22e3fd1c7b1ce3479ba06ab64cd34f20f01f0777812f179e75e7ae0c992ed8b4","schema_version":"1.0","event_id":"sha256:22e3fd1c7b1ce3479ba06ab64cd34f20f01f0777812f179e75e7ae0c992ed8b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WGJKHZZLEXFXEUGIBVIXR5Z4QL/bundle.json","state_url":"https://pith.science/pith/WGJKHZZLEXFXEUGIBVIXR5Z4QL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WGJKHZZLEXFXEUGIBVIXR5Z4QL/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":"2026-05-27T22:15:53Z","links":{"resolver":"https://pith.science/pith/WGJKHZZLEXFXEUGIBVIXR5Z4QL","bundle":"https://pith.science/pith/WGJKHZZLEXFXEUGIBVIXR5Z4QL/bundle.json","state":"https://pith.science/pith/WGJKHZZLEXFXEUGIBVIXR5Z4QL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WGJKHZZLEXFXEUGIBVIXR5Z4QL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WGJKHZZLEXFXEUGIBVIXR5Z4QL","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":"4d7f32fcf1bac4a421632afa746f6c116172bded50942c2ccdd2d71b36135e28","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-09-20T07:41:57Z","title_canon_sha256":"28b5bbfbebf4c24ea93ec8eefe79f3d8ac6b077163611817524561f8444a9660"},"schema_version":"1.0","source":{"id":"1609.06044","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06044","created_at":"2026-05-18T01:04:16Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06044v1","created_at":"2026-05-18T01:04:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06044","created_at":"2026-05-18T01:04:16Z"},{"alias_kind":"pith_short_12","alias_value":"WGJKHZZLEXFX","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WGJKHZZLEXFXEUGI","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WGJKHZZL","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:22e3fd1c7b1ce3479ba06ab64cd34f20f01f0777812f179e75e7ae0c992ed8b4","target":"graph","created_at":"2026-05-18T01:04:16Z","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":"We consider a stabilized nonconforming finite element method for data assimilation in incompressible flow subject to the Stokes' equations. The method uses a primal dual structure that allows for the inclusion of nonstandard data. Error estimates are obtained that are optimal compared to the conditional stability of the ill-posed data assimilation problem.","authors_text":"Erik Burman, Peter Hansbo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-09-20T07:41:57Z","title":"Stabilized nonconforming finite element methods for data assimilation in incompressible flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06044","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":"sha256:7c51ea8ea3875dc8a20005bb0d895ecfb0b6c2aeec71fc959287c79980166796","target":"record","created_at":"2026-05-18T01:04:16Z","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":"4d7f32fcf1bac4a421632afa746f6c116172bded50942c2ccdd2d71b36135e28","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-09-20T07:41:57Z","title_canon_sha256":"28b5bbfbebf4c24ea93ec8eefe79f3d8ac6b077163611817524561f8444a9660"},"schema_version":"1.0","source":{"id":"1609.06044","kind":"arxiv","version":1}},"canonical_sha256":"b192a3e72b25cb7250c80d5178f73c82d9e62b15b42666138a6ecada69a6391a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b192a3e72b25cb7250c80d5178f73c82d9e62b15b42666138a6ecada69a6391a","first_computed_at":"2026-05-18T01:04:16.849038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:16.849038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eZUDnCrX29v0z9R1hVjDvSAp+plaxo7CaEZLJx/lJCJrQQuuuPeaUsoVI5jbXEhCg9snWzRN265J4/KKI5MsDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:16.849401Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.06044","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c51ea8ea3875dc8a20005bb0d895ecfb0b6c2aeec71fc959287c79980166796","sha256:22e3fd1c7b1ce3479ba06ab64cd34f20f01f0777812f179e75e7ae0c992ed8b4"],"state_sha256":"c5a87fbe7a8581f821963ca46537d5eb600cfe94dcdcd5be8fbefaad32fa50d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BLqLHx8ohfZzjvEBBaFp5w76zieSXuF7TKXvZil17GB8VcdIbAZMDU9JK0y+t6RoXpVpe1LEzWxLyouUS4DdBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:15:53.952953Z","bundle_sha256":"716e1205fea4c1b4c88e863480e0fb3dc6ac6fa795947cd6d5640a0757b94ef1"}}