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Paper Citation Record · LEDGER

Data assimilation with model errors

As of 19 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 2 inbound Pith citation observations for arXiv:2504.16291.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2504.16291 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:12:52.749690Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T18:32:59.958496Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-28T20:32:37.976236Z

Reference resolution

35 of 35 outbound references displayed

  • verified exact0
  • verified fuzzy21
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 765ae91e-c51b-4989-8c51-5102b8bd58ef · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:53.238613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.617861Z digest=sha256:414381800c76a36553b47e3b1b4bd8803697ad07d1626490447f01339f70bd4f

Observation 590cc33f-7e95-4e70-bd30-5381a913d8cf · outbound

This paper cites C ¸ ıbık, R.

Data assimilation with model errors C ¸ ıbık, R

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:53.225392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.622537Z digest=sha256:e5288aa51bea70192eb77c00589147becda36fd5dcad47abbecda0605628e05b

Observation a8a7ac41-b7ef-45bd-9e4d-734c0ba6e507 · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:53.212252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.626925Z digest=sha256:5bf61d61b898b3e191a1bdf5cb05c8b38a91dfeb11bad41d06669784a0623bb3

Observation f5bd2b6a-d766-43b2-be5d-22ce075b2670 · outbound

This paper cites Farhat, M.

Data assimilation with model errors Farhat, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:53.199409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.631099Z digest=sha256:3464ab947b7f81bf8de0db314c97522bc784e48c5145b0f1423a87b3f4f76b76

Observation f605528a-9929-4dc1-b480-f801b818377b · outbound

This paper cites Farhat, N.

Data assimilation with model errors Farhat, N

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:53.186018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.635440Z digest=sha256:7f17f724c5c16743565766e87ab4d2f47225c538035c1c89e72ac6132570f623

Observation c4ff19fc-d0a4-4971-ba41-574a2ebda91e · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:53.172571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.639606Z digest=sha256:b65eb118f8ea21073e4900ae639220568ad243e8f554972126ca161ed6c341fb

Observation 364403cc-9e39-4164-ab42-97b9c3ed142d · outbound

This paper cites Pei, Continuous data assimilation for the 3D primitive equations of the ocean, Com- munications on Pure and Applied Analysis 18 (2) (2019) 643–661.

Data assimilation with model errors Pei, Continuous data assimilation for the 3D primitive equations of the ocean, Com- munications on Pure and Applied Analysis 18 (2) (2019) 643–661

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:53.159111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.643991Z digest=sha256:61a0bff5187b5d17ed2aed3037e239de9edcc3aa8a46a6f7246ab0f9e6a075d7

Observation c25dd3d7-cd25-4187-b513-813158cd8c19 · outbound

This paper cites Bessaih, E.

Data assimilation with model errors Bessaih, E

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:53.145395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.647729Z digest=sha256:4377ff495802331f3fea39c861df8bd4a42c2ff575f8e51c7d9d203797e6d59b

Observation 3ef2f42b-5560-4a48-8167-fbad52a9c18a · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:53.132059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.651309Z digest=sha256:0da4c3d7d2dbb8a4e5d19e0685e9622f437120c49074cf994dc7a5f0648f7471

Observation 31de6fb4-7fa9-4dcf-a963-d714a05217e9 · outbound

This paper cites Farhat, E.

Data assimilation with model errors Farhat, E

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:53.118778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.654831Z digest=sha256:c58d9616692b0a1af74a0b248ef365f6048768cbbe3ecb88bcfd51b265666b2c

Observation 5803621d-bd8e-482f-bb87-1f4ffbcf9e2b · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:53.105872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.658642Z digest=sha256:00f736b93ceed5566ef45cdaff763016033135424ee6ea6e47c56c700bd3dc8b

Observation bcb8bd99-897c-4ab5-9159-85ffba36947b · outbound

This paper cites Albanez, H.

Data assimilation with model errors Albanez, H

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:53.093149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.662550Z digest=sha256:ce825cacdc41a1e25ba176be899b695cf0b9e3c5de191b16d638952dc678a8d3

Observation 27c39b2a-0c81-4895-9c05-174704354929 · outbound

This paper cites Farhat, E.

Data assimilation with model errors Farhat, E

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:53.080135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.666504Z digest=sha256:2d7d7b4734dbf11ade52174109e5a94b1c1c8d26d8b2cb2c8ae23f3c364d1d09

Observation 3de70184-eee0-431b-b98b-236e07577298 · outbound

This paper cites Gesho, E.

Data assimilation with model errors Gesho, E

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:53.066777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.670314Z digest=sha256:f4dff026d3d335a0e8340ae5a51302a3fb623bc01b59ae9db7a3ec68fec1c752

Observation 8e1500a7-35fa-4c49-8936-1c6055969f1b · outbound

This paper cites Gardner, A.

Data assimilation with model errors Gardner, A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:53.053383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.674385Z digest=sha256:c0785787f9c97cf21b6313289008bd35672d736c5a6ee8b01246fc0156f41944

Observation 57670e1d-f057-4885-91fb-93dfa99cdd63 · outbound

This paper cites Model discovery on the fly using continuous data assimilation.

Data assimilation with model errors Model discovery on the fly using continuous data assimilation

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-16T11:12:52.678240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:12:52.678240Z digest=sha256:5aea73b38897d6abfac3718a548639c83da4110eeea2342e16cb1df69c1c21c5

Observation 6353dc07-1024-4550-b693-27024d7372a4 · outbound

This paper cites Azouani, E.

Data assimilation with model errors Azouani, E

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:53.040564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.682326Z digest=sha256:f28e8bbfd4116fcb416e2f73dec7ddad8207b8ece151a4a017cfdee564e8acba

Observation 431a5e38-2e7c-43a1-96ba-6e4bdee12210 · outbound

This paper cites Biswas, R.

Data assimilation with model errors Biswas, R

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:53.027670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.685950Z digest=sha256:e3942df3eb8df1c69596c1931b0b03c1126bae14801e3d4c781317a577fda30d

Observation d1d7f53d-44f2-49a2-9371-9d0d86af40fd · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:53.014825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.689400Z digest=sha256:d9896cdeb2d9a34ea1b49bf0b84e0b126917cb945133b0978c7c63aeee01c86a

Observation 4d5ba1f6-31a8-4b6e-820d-a32af01803f5 · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:53.002410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.692829Z digest=sha256:d9a2896427ce8364d28db1dcf2ee0d12e7e7780dbf3aee7bedffd50e050dcb01

Observation 8d9adf21-222e-4f26-956f-391c21b6f1c4 · outbound

This paper cites Auroux, J.

Data assimilation with model errors Auroux, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:52.989488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.696725Z digest=sha256:991920e157e2934c227c0ec1a71038112e608517fbf0d9d49fbfbd4a52db0dcc

Observation b7a8c502-8eed-4395-8fd7-cc9925a3e3d1 · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:52.976457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.700466Z digest=sha256:b7bf88f5d4960ea0ba3566da684401a68ee670a5b8fb4c2c56f9770b87368efc

Observation 7ad06012-91bf-4b89-a7c9-5033d213c231 · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:52.963492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.704284Z digest=sha256:998afb95c2423305b9e963bb2189b91a962c70132452a0fcc5cc7d8ab9ef0ec2

Observation 606c3be5-484d-422c-824b-3ede6d055a0a · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:52.950649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.708196Z digest=sha256:5ee02371d7fb128903199146a3f31a0eed1d81db2820c78d154c90844ae65f7d

Observation 4f27b628-ab67-41a2-9b41-738460476d43 · outbound

This paper cites Kley, On the treatment of the Coriolis force in computational astrophysics, Astron- omy and Astrophysics 338 (1998) L37–L41.

Data assimilation with model errors Kley, On the treatment of the Coriolis force in computational astrophysics, Astron- omy and Astrophysics 338 (1998) L37–L41

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:52.938069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.712435Z digest=sha256:b5f602d44164d9a01867973a2967edfe15fd540a40074169a813b583acb82568

Observation 30ab19af-3a53-49c1-be1b-642dfe25e28e · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:52.925516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.716074Z digest=sha256:9acc8c5910a5af8559226cdaeaed3ac138479e7e166aa7b8709e0daa3be3e480

Observation dbfecdc2-6ea0-423d-b593-02656740691b · outbound

This paper cites Layton, Introduction to the numerical analysis of incompressible viscous flows, Philadelphia, SIAM, 2008.

Data assimilation with model errors Layton, Introduction to the numerical analysis of incompressible viscous flows, Philadelphia, SIAM, 2008

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:52.912581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.719568Z digest=sha256:d057798c8dafb7bb2ed2808ed937622420405d753f71f2d6b0b188c6bdf13502

Observation 71bc8687-9563-45c6-8720-1ba1b0d67aaa · outbound

This paper cites Girault, P.-A.

Data assimilation with model errors Girault, P.-A

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:52.898912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.723345Z digest=sha256:1e2115377539e60745cbdb0219c78860a1e0764d370ee1fc4605fe70c7f950be

Observation aec7d5c4-2690-4295-a6e1-c800e0186aaa · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:52.885969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.727337Z digest=sha256:af4ea7938f9ef2ca8948ce854ebca0a5bfd17f3f5f7c7e005c27d5c573452870

Observation a05845df-c509-4539-a5d0-df36978a0ed6 · outbound

This paper cites John, Finite element methods for incompressible flow problems, Vol.

Data assimilation with model errors John, Finite element methods for incompressible flow problems, Vol

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:52.871617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.730860Z digest=sha256:2437fa4868e4ffeb1c4ac27a0b6965057ab5ef009b235cc3bc6f660c4225a467

Observation 5f846101-f697-4c06-83fb-e63931200bdc · outbound

This paper cites an unresolved cited work.

Data assimilation with model errors Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:12:52.855772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.734636Z digest=sha256:35c481e03cf6b2f49b9873623793070df71611b8fb6fb2eb6eb577acbd4ce42d

Observation ae134421-67fe-4273-aa6f-f1fb295146e5 · outbound

This paper cites Ambrosetti, G.

Data assimilation with model errors Ambrosetti, G

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:52.841135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.738524Z digest=sha256:a83853a31abd24f998441c8d6d28c2d6344516be7335f2afb8468091b94997a9

Observation 4cb70b97-61fd-40ba-8d92-91aad1fc3e6c · outbound

This paper cites Pope, Turbulent Flows, 1st Edition, Cambridge, 2000.

Data assimilation with model errors Pope, Turbulent Flows, 1st Edition, Cambridge, 2000

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:52.827152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.742265Z digest=sha256:7ad6e4c3e45a2dc65380cd1b60839146fce74c76ba4e9538a420318ea86bd662

Observation dcfe0277-cd72-4369-bfc1-cbcad6ca5740 · outbound

This paper cites De Vahl Davis, Natural convection of air in a square cavity: A bench mark numerical solution, International Journal for Numerical Methods in Fluids 3 (3) (1983) 249–264.

Data assimilation with model errors De Vahl Davis, Natural convection of air in a square cavity: A bench mark numerical solution, International Journal for Numerical Methods in Fluids 3 (3) (1983) 249–264

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:52.813550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.745950Z digest=sha256:7682b02ac7c78d6159e59a3b253ea68e70dd121d84566e24e825af84038a6219

Observation 4bca2146-7725-4aae-a16d-eefbebac55e8 · outbound

This paper cites C ¸ ıbık, S.

Data assimilation with model errors C ¸ ıbık, S

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:12:52.798777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T11:12:52.749690Z digest=sha256:dacfaf1d99c40dd4377bbc5cad7530b66e197406f1e2d4f98556496166c67a61

Pith citing papers

Observation 4e60da8a-2458-4253-b133-8bee000d522a · inbound

Data assimilation for slightly compressible flow cites this paper.

Data assimilation for slightly compressible flow Data assimilation with model errors

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-12T09:21:25.668624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-07T11:23:18.736045Z digest=sha256:82f330c222b295392e76ba1cb2fc98d2bc39c08065410cf1da64b2813693615c

Observation d092c7cc-607d-40ad-b325-b04ff690b205 · inbound

Continuous Data Assimilation with Learned Surrogate Dynamics cites this paper.

Continuous Data Assimilation with Learned Surrogate Dynamics Data assimilation with model errors

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-06-28T20:32:37.977653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T18:32:59.958496Z digest=sha256:473dbd6470e2f29feb3cee50b8579a8d000a21dcedc81de9da78419a4ef23394