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Paper Citation Record · LEDGER

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning

As of 18 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2501.04369.

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

pith.paper-citation-record.v1
2501.04369 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:39:17.502190Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-19T09:52:34.530742Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T09:53:02.060550Z

Reference resolution

27 of 27 outbound references displayed

  • verified exact4
  • verified fuzzy9
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 39908470-a715-427d-bf95-1c7ff04ab34b · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.985978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.370687Z digest=sha256:b9f90d4be480c855a46446264915c4d93727bb79621c62c7821bfe02fd385109

Observation 05c6d554-0096-45f9-8a20-a18563f4ae24 · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.970138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.376010Z digest=sha256:9dfa48cc25b9d948ce5076af318d2012a10f5394363ab7212ef42c2044d95071

Observation 6b8d0323-bf87-4da1-af46-a776c3caa24e · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.953971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.381300Z digest=sha256:b10a731dede3acde8fbf5e00b2ab9520a606def72964cd19117bd29ffd5ad4d5

Observation 8b7c3fec-6c64-4782-be71-7cabea507072 · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.938019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.386895Z digest=sha256:51da4719a23e0288194b2970a923b1ea8ab493bac818b9d23752def96cc6420a

Observation fd30db72-e2d1-4411-bcac-ffc254179085 · outbound

This paper cites Data Assimilation Networks.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Data Assimilation Networks

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:39:17.612367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.392755Z digest=sha256:c91b82b24c4ebd69d98472a1f4ccbb88e0c0401d7f2ca83dbc464d0aece1ad8d

Observation ef5ac3ac-fe71-4503-a398-c3bbcfe4aca5 · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.923029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.397683Z digest=sha256:7cda090a36bd42be4e86d365b6b1d04c1abea1d93b3c4874f9161373b7cd7b6a

Observation 006d5769-e3df-498a-87b4-141f19fe2788 · outbound

This paper cites S., Scott, J.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning S., Scott, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:39:17.907563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.402936Z digest=sha256:611fc3d536eea8dca5bf66f1349d5cbe5bae2f5996fc3162cdf06eec47e64045

Observation 245e5c1a-3f44-4933-94b9-2472dbe0fe3d · outbound

This paper cites An Efficient Scaled spectral preconditioner for sequences of symmetric positive definite linear systems.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning An Efficient Scaled spectral preconditioner for sequences of symmetric positive definite linear systems

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:39:17.590659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.408230Z digest=sha256:848ae27fa05c2afebfa95ff8f7f0497b412d74c2884c31c66203e506a945346f

Observation 2f791f52-fa98-468d-b132-d56d12dbe95b · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.892402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.413194Z digest=sha256:59ef6acf169e5a8e914d660e0c155a8b05ab7194cf0a820d359f3eb1a76d75b9

Observation 240d5d98-2546-4127-8af6-162edfb58ef9 · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.876889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.418381Z digest=sha256:e2038dcdaabaab417d2be2fc2b9326c9f58b3175e110ebcb9ae42716e27bc60b

Observation c8a99c06-1236-4829-be9e-27aeb8747436 · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.861302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.422827Z digest=sha256:3e33b50f576b7f519081a5a37dcd29c27d4902fb59717108106e8b9edaf99866

Observation 17300ca6-cad4-45fb-b321-2434cba40475 · outbound

This paper cites S., and Nichols, N.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning S., and Nichols, N

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:39:17.845427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.427781Z digest=sha256:4cc52409c466de2f2d19e0656bbbc46e054e34d88e1d58c0222bdced5c8c75fa

Observation a782abbc-943c-4495-a4f6-a34cfed730a1 · outbound

This paper cites and Titley-Peloquin , D.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning and Titley-Peloquin , D

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:39:17.827954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.432724Z digest=sha256:f27a959f7330c643b3663640bb32ce27f4c7ca1ea07991b71dc7f23d16438ee0

Observation 31223bd8-cf0b-4ac5-b397-af33db0c4a1e · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.809956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.437627Z digest=sha256:fb57dff0df7cb372e45c6b2054bc3558e540f96d77144d1038d39dc52f5674c8

Observation 7b01fc6b-f82b-4545-b906-7e2a81b5ff40 · outbound

This paper cites S., and Laub, A.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning S., and Laub, A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:39:17.793193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.442170Z digest=sha256:f3fc84aca187a922a0dd4b4873700e5334210b3ad31ba6d29ce0cbe84c6dc47d

Observation 1732d8f5-fba2-42b7-b2f4-fc8168233578 · outbound

This paper cites T., Moore, A.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning T., Moore, A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:39:17.776902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.447230Z digest=sha256:557babb5723cc5cc93599885b3e64bb81e51ba51ee07f5fa2f9b70ca66400558

Observation 5e96cb4e-5b46-4932-88f9-6ad8afaf16a9 · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.760879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.451963Z digest=sha256:c8c5e4269de874c3f2d1f7a9957b1656949514b3d72e8382cade0c9181df78a0

Observation ce6f04f1-b3a9-4c45-98d7-391820a15fa7 · outbound

This paper cites a usner, P., \.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning a usner, P., \

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:39:17.744236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.457036Z digest=sha256:2afaba58c438644f376d999d67cb5d092a9dd816026da1fe522aae2662ef6229

Observation fddc3064-bbb6-423e-a6c7-70b6b1e82bf3 · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.728243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.461816Z digest=sha256:6dc8948427e6f5593142dae5d825be620fc9a7efd12f5bb664e15d8cfdfb626a

Observation bd21a4ab-091d-4ae0-92c3-3df8e13c2c3b · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.711651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.466898Z digest=sha256:e1c34fffd8416e15c0d432ac6e8eb022e2bea7264303576f4cb4db5227b4f1a6

Observation 56ad6eaf-7548-4d0f-a6e9-0a365e4bad38 · outbound

This paper cites and Aulign \'e , T.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning and Aulign \'e , T

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:39:17.694440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.471848Z digest=sha256:0e5ae69480e383e09b916d43b4f1e4fdce4ee82b98f03680123e614ab5b9580e

Observation 926ea019-c207-41a9-a3ad-3680c495c7a8 · outbound

This paper cites Latent Space Data Assimilation by using Deep Learning.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Latent Space Data Assimilation by using Deep Learning

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:39:17.569284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.476932Z digest=sha256:0c0ef1b9863c80644418440770e398d10853cef302cf143100f2327ed8c39d1c

Observation 52cc4b69-1274-45cc-bcf2-d6103ddca235 · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.678138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.482759Z digest=sha256:9a7c4403c456e049ff8179fbf90a320aed7ee1f186ab77984efe3c15c13bc705

Observation e1b37c76-0126-4295-843f-5b3091995840 · outbound

This paper cites Optimal low-rank approximations of Bayesian linear inverse problems.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Optimal low-rank approximations of Bayesian linear inverse problems

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:39:17.546767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.487602Z digest=sha256:3820a2b972c3d71aadb8dfd2e4f93a470f366f773b13fc8e83559de7927f06e8

Observation 4d3d3e1f-58f1-4f19-823b-dba967cf639e · outbound

This paper cites M., Dance, S.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning M., Dance, S

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:39:17.661182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.492731Z digest=sha256:a913adcb8ba2cf694b7a500e75a85c9575111aa3a941e72d1e60c419e77814f7

Observation 89166ece-08c9-4a24-970a-fb2277b467bb · outbound

This paper cites an unresolved cited work.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:39:17.645577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.497328Z digest=sha256:51d0ed0bea6f5b5fee4bbdb00c8c20beeef9148dd21832b1614e7b004e7e67f4

Observation 8c8e6878-c221-43db-aee1-4606b18edb85 · outbound

This paper cites T., and Sartenaer, A.

State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning T., and Sartenaer, A

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:39:17.627753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T21:39:17.502190Z digest=sha256:3e794ada811f3bfeeeb3d5bf8d0a7c4e224fb8cf5728e5fce4a49d0d065c5158

Pith citing papers

Observation d1b6b64d-ea37-4f4a-bbc9-e4656c34b4ed · inbound

An Introduction to Solving the Least-Squares Problem in Variational Data Assimilation cites this paper.

An Introduction to Solving the Least-Squares Problem in Variational Data Assimilation State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning

Reference 127

Resolution
verified exact
arxiv_id, observed 2026-05-19T09:53:02.062166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-19T09:52:34.530742Z digest=sha256:aee630124d8624bf5aaab174669f8c3e8b9e3b6150b9635ce56746637c3d13b7