Paper Citation Record · LEDGER

Sequential data assimilation for PDEs using shape-morphing solutions

As of 14 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2411.16593.

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

pith.paper-citation-record.v1
2411.16593 v2

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:00:40.087407Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

50 of 50 outbound references displayed

verified exact18
verified fuzzy3
unresolved19
parse uncertain0
malformed identifier10
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ba250e2c-8cb3-4b41-89ac-37f2940bcdbc · outbound

This paper cites Anderson, M.

Sequential data assimilation for PDEs using shape-morphing solutions Anderson, M

Reference 1

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.424904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f0512467-fb65-4fbf-94ca-c6938fdc1e80 · outbound

This paper cites Anderson, M.

Sequential data assimilation for PDEs using shape-morphing solutions Anderson, M

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-12T13:00:39.876886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bea7ce5-782c-4e34-aeb3-ba87b4f44fd4 · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:39.880941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f858026f-cc8d-4edd-b679-266147a30518 · outbound

This paper cites Bruna, B.

Sequential data assimilation for PDEs using shape-morphing solutions Bruna, B

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:39.884839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75633968-a6c8-4c92-8687-9891edb7ccbf · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:39.889298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 177a5433-902a-43dd-9757-99ae4ab2eee1 · outbound

This paper cites A Stable and Scalable Method for Solving Initial Value PDEs with Neural Networks.

Sequential data assimilation for PDEs using shape-morphing solutions A Stable and Scalable Method for Solving Initial Value PDEs with Neural Networks

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:39.893258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f18a7c00-4902-4cfb-925e-d0b24c906cdf · outbound

This paper cites Anderson, M.

Sequential data assimilation for PDEs using shape-morphing solutions Anderson, M

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-12T13:00:39.897785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e96652e-d5df-4cdb-9aaa-fc8d89046653 · outbound

This paper cites Berman, B.

Sequential data assimilation for PDEs using shape-morphing solutions Berman, B

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:00:41.130653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a5c3096b-2228-4902-a95e-585aaa19d506 · outbound

This paper cites Sukumar, A.

Sequential data assimilation for PDEs using shape-morphing solutions Sukumar, A

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:39.904683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e0b8476-eec7-46db-a68a-a5b7c8e33b1c · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:39.909004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b6dfebf-e06b-461a-8aad-d6df3f6876fa · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.395732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 879a59cb-e0b5-46f0-a82e-d95efd1f6516 · outbound

This paper cites Schwerdtner, P.

Sequential data assimilation for PDEs using shape-morphing solutions Schwerdtner, P

Reference 12

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.383150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f0a56472-526d-4a89-866f-c6898aef026c · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 13

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.369519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 628f723e-3cf8-42fc-8779-0bcafaee8d55 · outbound

This paper cites Multi evolutional deep neural networks (Multi-EDNN).

Sequential data assimilation for PDEs using shape-morphing solutions Multi evolutional deep neural networks (Multi-EDNN)

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-12T13:00:40.602261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d3cad3f7-f555-437b-8177-406bb8950544 · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 15

Resolution: malformed identifier; no resolver link, observed 2026-08-12T13:00:39.929618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 979ce5bc-f26c-4412-bb83-1c855c102e2a · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 16

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T13:00:41.120508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d4af52a7-19df-4248-96f0-43311f177293 · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.349732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4b3b4439-1f5d-4d77-97ec-3e65ca9359a0 · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:00:41.109608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 93303403-82ac-482d-ad1f-9bc4ad828fd3 · outbound

This paper cites Andersson, J.

Sequential data assimilation for PDEs using shape-morphing solutions Andersson, J

Reference 19

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.336603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2062a004-ede2-44ca-83c7-a046015ea86a · outbound

This paper cites Courtier, E.

Sequential data assimilation for PDEs using shape-morphing solutions Courtier, E

Reference 20

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.324347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ec76f7eb-c5a4-4892-938d-67dee18f2977 · outbound

This paper cites Rabier, A.

Sequential data assimilation for PDEs using shape-morphing solutions Rabier, A

Reference 21

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.310910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 26094823-4392-479d-9e03-008ed744efb3 · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.298911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ea6611f3-ea06-40ea-9e31-83cb354c0e03 · outbound

This paper cites Reich, C.

Sequential data assimilation for PDEs using shape-morphing solutions Reich, C

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:00:41.098912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3f3fd693-e721-4e91-95cd-b3e5c685ac7d · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 24

Resolution: malformed identifier; no resolver link, observed 2026-08-12T13:00:39.967973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b90f933-6ab0-429b-9b6e-69bcb69c0fdb · outbound

This paper cites Azouani, E.

Sequential data assimilation for PDEs using shape-morphing solutions Azouani, E

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:39.971933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b2b54a8-de1f-425c-b48d-b314d2ddc1ec · outbound

This paper cites Tr´ emolet, Accounting for an imperfect model in 4D-Var, Quarterly Journal of the Royal Meteorological Society 132 (621) (2006) 2483–2504.

Sequential data assimilation for PDEs using shape-morphing solutions Tr´ emolet, Accounting for an imperfect model in 4D-Var, Quarterly Journal of the Royal Meteorological Society 132 (621) (2006) 2483–2504

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:39.975898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e6eef1c-e391-4374-a742-a83c149cd8eb · outbound

This paper cites Anderson, M.

Sequential data assimilation for PDEs using shape-morphing solutions Anderson, M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:00:41.087965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3fb6a7d9-5be4-4015-9832-2c52a91a866e · outbound

This paper cites Karniadakis, I.

Sequential data assimilation for PDEs using shape-morphing solutions Karniadakis, I

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:39.988754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73b156bb-74ab-430d-b3b3-b9bcf1cb2463 · outbound

This paper cites Kovachki, Z.

Sequential data assimilation for PDEs using shape-morphing solutions Kovachki, Z

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:39.993084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85eb6baf-3bd8-4333-bb04-a95db1bb5de5 · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 30

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T13:00:41.068690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 957159c3-d82a-4681-a66a-e2030c7f0d9a · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 31

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T13:00:41.057449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 080f1dea-38b9-4ace-a932-839957fa654f · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 32

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.245417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 85c8407d-82b1-4560-aa14-067e2b383009 · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 33

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.233821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c826648b-318c-47e7-b574-e1d1bbe120cb · outbound

This paper cites Rieder, On the regularization of nonlinear ill-posed problems via inexact Newton iterations, Inverse Problems 15 (1) (1999) 309.

Sequential data assimilation for PDEs using shape-morphing solutions Rieder, On the regularization of nonlinear ill-posed problems via inexact Newton iterations, Inverse Problems 15 (1) (1999) 309

Reference 34

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T13:00:41.046269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b1864735-fe9d-4cc5-91a5-8175d7b41286 · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:00:41.035616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d3eb3546-9195-451f-8997-4ee4c94d1b63 · outbound

This paper cites Lipschitz regularity of deep neural networks: analysis and efficient estimation.

Sequential data assimilation for PDEs using shape-morphing solutions Lipschitz regularity of deep neural networks: analysis and efficient estimation

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:40.031029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ce222a7-227a-41c3-8070-7676ce2294a0 · outbound

This paper cites Cousins, T.

Sequential data assimilation for PDEs using shape-morphing solutions Cousins, T

Reference 37

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.221958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 456c663c-d230-4123-a5ed-34d946fb75ed · outbound

This paper cites Farazmand, T.

Sequential data assimilation for PDEs using shape-morphing solutions Farazmand, T

Reference 38

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.210046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation dfc14d16-f836-466c-be22-7d9250a2e50b · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:40.043341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07483746-dad3-4036-a48a-c3916c6d95bc · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 40

Resolution: malformed identifier; no resolver link, observed 2026-08-12T13:00:40.047840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e34227d-2f8f-46a3-8d49-2a27410c2a1d · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 41

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T13:00:41.024696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 02654c20-00ec-485a-8ebf-cb9c03520ab1 · outbound

This paper cites Chabchoub, N.

Sequential data assimilation for PDEs using shape-morphing solutions Chabchoub, N

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:40.059970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03f9c6a1-1ff5-4f2e-92df-810374df6e58 · outbound

This paper cites Kuramoto, Diffusion-induced chaos in reaction systems, Progress of The- oretical Physics Supplement 64 (1978) 346–367.

Sequential data assimilation for PDEs using shape-morphing solutions Kuramoto, Diffusion-induced chaos in reaction systems, Progress of The- oretical Physics Supplement 64 (1978) 346–367

Reference 43

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.180708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation acb0c278-07fd-4dd0-848e-1156b2bcbc50 · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:40.067921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41a905b8-1d47-4fe1-ae58-b60dabf48841 · outbound

This paper cites Farazmand, G.

Sequential data assimilation for PDEs using shape-morphing solutions Farazmand, G

Reference 45

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.158883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6125ed4e-716c-4208-b7ee-0c644a6d0090 · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:40.076020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0239ea7d-cba5-488f-8a22-9ac0ef4b6e20 · outbound

This paper cites Raissi, P.

Sequential data assimilation for PDEs using shape-morphing solutions Raissi, P

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:40.079918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation adff8686-a8bd-413e-a55f-88333ba35444 · outbound

This paper cites Attia, A.

Sequential data assimilation for PDEs using shape-morphing solutions Attia, A

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:40.083887Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6714d2f1-5cf0-4b84-8753-d399a2a856d7 · outbound

This paper cites Farazmand, Sparse discrete empirical interpolation method: State es- timation from few sensors, SIAM Journal on Scientific Computing 46 (6) (2024) A3658–A3680.

Sequential data assimilation for PDEs using shape-morphing solutions Farazmand, Sparse discrete empirical interpolation method: State es- timation from few sensors, SIAM Journal on Scientific Computing 46 (6) (2024) A3658–A3680

Reference 49

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.122707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 16ced8ed-4541-407c-9dbc-e0a6720a3f0a · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 2902

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.266207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.