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Paper Citation Record · LEDGER

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow

As of 10 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 2 inbound Pith citation observations for arXiv:2508.07994.

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

pith.paper-citation-record.v1
2508.07994 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T21:51:35.986625Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:18:00.221863Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T08:17:45.135741Z

Reference resolution

52 of 52 outbound references displayed

  • verified exact3
  • verified fuzzy23
  • unresolved26
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d6d62566-8496-41f9-a062-fec2362b0963 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:47.817086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:31.792189Z digest=sha256:4c227e4f1a1f9655b33ebf4519218ff33c861a150af67314f4c159c8f1b985dd

Observation 2a62bf32-80ba-4ebe-9a31-92da984af9ac · outbound

This paper cites Berrone, C.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Berrone, C

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:47.645942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:31.882441Z digest=sha256:26f979499dee809912357086823becc271f9d72d29b2245a087c87491a8f39b5

Observation d81d1f40-73cf-464c-b00e-24022d43d4d5 · outbound

This paper cites Berrone, C.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Berrone, C

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:47.513431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:31.988207Z digest=sha256:149c0ce253203e82bed79ad9d290c729673ee9e1c4f47047b3d7942a319bf261

Observation de11e403-5239-49a0-b405-beb940ac0a40 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:47.385782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:32.055647Z digest=sha256:57b04b70d105eec483c21e29b431907e997f9f8c63b9854f09adcf1eff7d193c

Observation 51802f5a-3b45-4ef1-87b3-933ddb456ed7 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:47.170516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:32.129340Z digest=sha256:9237d9729999f8d3d47ce2f0c88cef63561ada93eb35a40c36633513c2bf603b

Observation 6564db20-1527-474a-9137-7d80d5455786 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:46.983908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:32.193762Z digest=sha256:58f4b565260d5d7bad32898d129fd9756fe26937b23bec30e57293f76a3ab2f6

Observation bad617bc-7b4d-480a-b21d-19fd33401cc6 · outbound

This paper cites Cuomo, V.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Cuomo, V

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:46.807177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:32.301784Z digest=sha256:d03c659a64f027fb9583deccb09eca0b086f1e25f0581b7afb895243c2aec38e

Observation e39101ea-91e0-46f2-891f-ae6f05076296 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:46.620175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:32.389578Z digest=sha256:7ffd678465e71b321c030074f5d382ef055e6b261cab1474833d795e2dd0b2f8

Observation 23aa7914-a410-45b1-ba8d-c0ce76bf9db4 · outbound

This paper cites De Ryck, A.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow De Ryck, A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:46.416009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:32.497673Z digest=sha256:994e77765d744b14fe2eeeb286b2a7767ce472322e7614c9e1098209ad70293a

Observation d79c5ce7-7546-4135-b2e3-63e0f9e43a2c · outbound

This paper cites De Ryck and S.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow De Ryck and S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:46.275945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:32.577254Z digest=sha256:ad3ca36180915c93f84bbd19373ec801d17f93c70c941565748e689f57f40fbe

Observation 63fe1fea-dc5d-43de-bc69-d76c74f872e9 · outbound

This paper cites De Ryck and S.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow De Ryck and S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:46.071741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:32.671969Z digest=sha256:7813c99705950a17084fa58ec36f703ca28ce9faf094c8762e148c6d452ea6f8

Observation 2ff6f0b1-21be-4de3-be54-b0627c4eff42 · outbound

This paper cites Engel and R.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Engel and R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:45.962637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:32.774637Z digest=sha256:f044cca33f15426833536848c67287347c79bd4ed6a80f471ff8cbb152865ff3

Observation 432cfa6a-b60a-4d3a-a85f-90416830b5a5 · outbound

This paper cites Ernst and K.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Ernst and K

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:45.815812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:32.865579Z digest=sha256:87f69671b697c5a3c58ba4c97509af80c5301d859d89d28bec743e1c42397651

Observation b4b85771-8603-4d05-8db2-acb3525f7910 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:45.568622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:32.975418Z digest=sha256:59e1d88bc56961f3f04379d6a725bc9bfaceca6c2da582253c03003b92c22787

Observation 13606524-96fd-433b-998b-2d369c55e5aa · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:45.427190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:33.081066Z digest=sha256:fe85fd5277929c6d830fdb485f1fdc4eab14f82129f5b4b8ba2073948710e560

Observation 8b51dae4-f5b9-4193-9bb9-2c7f5ce98e82 · outbound

This paper cites Gagliardo.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Gagliardo

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:45.253140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:33.186307Z digest=sha256:69695c080563456811e684910cafab843712ffa5317b480d0c37e7855f832402

Observation 7c0b640b-96a5-4b45-81d0-5fd78289d96e · outbound

This paper cites PINNs error estimates for nonlinear equations in $\mathbb{R}$-smooth Banach spaces.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow PINNs error estimates for nonlinear equations in $\mathbb{R}$-smooth Banach spaces

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-05T21:51:36.738843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:33.258589Z digest=sha256:ca7af740643a8af15f8a3c64c323c405f8755f84be13b96ecfbe377c86e5baf8

Observation f78b2001-b037-4138-94b9-36a048e912b0 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:45.113477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:33.355008Z digest=sha256:d9b6cdcf446e5d70d430e3769636bc0050064558ba380461b70e83bc2bbfc9c6

Observation b0e25503-b830-4bdd-aef2-8dce6c5a3d74 · outbound

This paper cites Grohs and F.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Grohs and F

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:44.899141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:33.424957Z digest=sha256:41f7b9e2a31d718341c50115cb97cf809002018b85ed65e358fd65ec8793697d

Observation 6d48c2e2-a52a-405a-ae75-f088ceb2fc53 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:44.780686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:33.482359Z digest=sha256:2d38f8d8593c5b0d67d8e88ce2eb1dc6ac4fdcd1dd54181417a6ebcb5473fb99

Observation be4bcd91-4247-470e-ba29-c3c28a4cbfee · outbound

This paper cites Haghighat, M.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Haghighat, M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:44.592996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:33.540204Z digest=sha256:b21269a385e0d6b9cf3c10e6bc99a52ec83dc4686375728886b973e17d8c76ef

Observation b2e4f4c9-0a5f-4c0c-95fe-53fee3b2518a · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:44.404073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:33.630120Z digest=sha256:c6f0f28f1680eeb103a76c28e76d2e1a5b41b5a70af81f48f5775eb22e69384c

Observation 349f8ba6-166b-4c2b-9633-48e22a684197 · outbound

This paper cites Hillebrecht and B.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Hillebrecht and B

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:44.194724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:33.712584Z digest=sha256:f04586421f825cff6d29508998b19f57b9cec8391717aa463c460880a0d27e10

Observation f051f91c-f175-4822-b441-74596e902861 · outbound

This paper cites Hillebrecht and B.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Hillebrecht and B

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:43.944937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:33.796157Z digest=sha256:7c5da1264e39b540d8addd9693ed5dda93f73e4f2849445b4098fcb18361cd4a

Observation 89e09d34-73a8-4887-a71f-15454ff3b582 · outbound

This paper cites Ito and F.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Ito and F

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:43.726263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:33.887157Z digest=sha256:5a3107fd0a2de9e24e9492f31a65949818d4e22e6b5f01a1ba0f4078597df9b9

Observation b4fc98fa-8cfd-4ae9-a7c5-8549fd306fae · outbound

This paper cites Jacob, R.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Jacob, R

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:43.518080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:33.977857Z digest=sha256:25c83f955484b8e581a4e4fddbf5e2972ff61479d264ba33b4ae6851d1674ccf

Observation 52b9195c-7f4f-490b-b638-a1ab4915dec3 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:43.309266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:34.062247Z digest=sha256:d9051d740d38f34ab9cb1af4bb4963cd4f4fccf188a53c5ef8463a2dce45488d

Observation dbef24b6-9010-4ace-99c2-2e8977e5e341 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:43.077518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:34.121176Z digest=sha256:f390f87ab6be1d232089132a5a8a4341cc6b07059c9f121ef893f3b688e42fea

Observation efb92552-e0bd-4e61-bbba-ec83fc06a1e8 · outbound

This paper cites Kast and J.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Kast and J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:42.861713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:34.213265Z digest=sha256:b52d834d1357b1849e7f28bc15c26a1d1a97b9e683156e1932f6795c23d9438e

Observation eb07e9bc-524c-4ae4-b56a-e99b4a7a0d66 · outbound

This paper cites Variational Physics-Informed Neural Networks For Solving Partial Differential Equations.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Variational Physics-Informed Neural Networks For Solving Partial Differential Equations

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-05T21:51:34.292575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:51:34.292575Z digest=sha256:0e233c68528066e37744cc15af90e4e3b30ca5819b1aac7a74b0ce2535137a23

Observation 1a0488e1-1304-4834-987b-28d3553209c5 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:42.691944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:34.384160Z digest=sha256:278d2ca3ccfb165b6ce3f3e1f2aa292fb3a183771ff5a1836e2c610c487aa1ef

Observation d864e884-a9c4-4f9b-be5d-a2da3ad3b52e · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:42.544767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:34.471155Z digest=sha256:1ae6112a1224f9f0b94256dd4110170077c8afd894f8f7c8c162815589c9e16a

Observation d7ccad8d-c73c-4bb3-b736-13c010066e75 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:42.306732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:34.558495Z digest=sha256:96262ba0505a458132cf54b469dbeb53ba456f9e1f70a0bf14adffa01f47ce38

Observation eb8b303d-cc6b-473d-b030-8b149247d043 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:42.105429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:34.619860Z digest=sha256:160e6950ce1c4f983d02150a724a89bac693372654eb4de209b0bb04db151999

Observation 1aad1f69-7767-48c9-bef0-9b45590f4324 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:41.887604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:34.731108Z digest=sha256:c4c10e3717a622a019256061a1fb95986ed095b0d86729a2f20d42e1085301da

Observation 422846fb-af1a-4320-a937-a9a3553b38cd · outbound

This paper cites Trace and extension theorems for functions of bounded variation.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Trace and extension theorems for functions of bounded variation

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-05T21:51:36.496025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:34.799803Z digest=sha256:3635dc8f70a415cc01fcfe3d69dcbba1223b7cfbc1d159db76ced44095cb6506

Observation dd773188-24ff-4308-85c9-4a5b10db1e8a · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:41.662802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:34.886743Z digest=sha256:1a8f21e22ede7687277ddfb10813e716243c2a3101f47f5c4c12a338337dacba

Observation dbe3dc45-cb97-4b78-a5a5-f1ed3591df41 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 38

Resolution
verified exact
raw_fallback, observed 2026-08-05T21:51:36.313693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:34.942766Z digest=sha256:bafe80312c67f82195448cf9f7783d2df3896c1c1724282b0d0b20e0a3c84417

Observation 4ff03801-9ec4-468d-a07d-c5bdd9d61233 · outbound

This paper cites Mojgani, M.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Mojgani, M

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:41.404738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.007772Z digest=sha256:bc69f4cacb7999f4a1da2853d0ebaf7443a550ddd362a65590dc314ab99ae19f

Observation fbd0ee47-0cb7-4333-8eb4-f2051651667c · outbound

This paper cites Moler and C.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Moler and C

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:41.185990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.072746Z digest=sha256:57fe017fb4fe4ea282c3c605f7ffe9bf6f5586b776d1cae6b2cdeb9852804711

Observation 678bc2bc-8d44-4f63-8b50-cbefa4244cb1 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:40.946936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.161877Z digest=sha256:0313fbdc96d1680b7e520693d9cabd18a7d99ac538688f87c375d9d65dd8a420

Observation 485a3c70-4cde-4dc5-b041-2d312f3a8e6e · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:40.716873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.217143Z digest=sha256:04896dfc8e44aa0e9d5f97dcd33eb4db25590348bbd4efeaed1f82d876f95b32

Observation 78745fa0-b6cd-4492-9f49-82570958e662 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:40.453550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.314012Z digest=sha256:ecafa60333594d57bc79c5bcdcdca42e917a9a151a45369e4b4a5dbda064318e

Observation d663df46-52f7-4dc9-baa8-178e0355797b · outbound

This paper cites Radin, S.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Radin, S

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:40.157671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.413493Z digest=sha256:8b767fd76c2a88ceec8afc46da705447cd3af3b67109045af69531ff4c4f5533

Observation 6271b331-0b5d-4525-ad59-c5595d92ab1b · outbound

This paper cites Raissi, P.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Raissi, P

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:39.853432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.475124Z digest=sha256:2f0500644091640c1853e924962defe3460a5ed0b8c4920021b285f427ce2c3d

Observation 4ecc89ab-0678-4015-b8e6-5a4cbc0852aa · outbound

This paper cites Rojas, P.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Rojas, P

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:39.409331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.535779Z digest=sha256:9d65ed9628a8aba8e54a5cdf5e66021c593916fb8c82c3e5f337f95f59b54b90

Observation 6201526a-f935-4fba-a116-cb0f13876e30 · outbound

This paper cites Schäfer, S.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Schäfer, S

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:39.022624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.626281Z digest=sha256:a827d7ce939ddead04fc8bdac75ccd528d8f7d903f16adaf4a5f2653c6e4bf6e

Observation 2c27fc11-7bfc-4195-ab7c-4f17140f3a18 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:38.610164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.700061Z digest=sha256:3bfd65ab1f48c50b64a61b380278c09603ffdfeb36fa53015f1107d1f69bddf6

Observation f22461f9-b663-473c-bd5f-e3a4ea437cc8 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:38.277307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.773176Z digest=sha256:262f6b8d2847a80f86eed443104bc24be31c1cea1036aaa02bf073a44759e01e

Observation af60d29a-6da5-4565-b825-59e089f32486 · outbound

This paper cites Seifert, S.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Seifert, S

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:51:37.918694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.835266Z digest=sha256:33bcb78c097019c81e0e5a26958ffb786951455424413f78521e3d5a6f73e3dd

Observation 2f19ae0d-2141-4acc-b8f9-2b1ff8ab767c · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:37.630686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.896685Z digest=sha256:b2b7cd1decd2d48edaf7efaebbe701d45781cd0468cfde3d937ca7f8cbaec0d2

Observation 9607a1b3-1d99-40de-8637-5684fb698697 · outbound

This paper cites an unresolved cited work.

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:51:37.157282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:51:35.986625Z digest=sha256:7dcbde60212637562393bf34268f3e6ea317a5873ac651800d6568960107bd65

Pith citing papers

Observation bbe0813b-8bd6-4ffc-b576-75bd604855cc · inbound

A Hybrid Framework for Healing Semigroups with Machine Learning cites this paper.

A Hybrid Framework for Healing Semigroups with Machine Learning Prediction error certification for PINNs: Theory, computation, and application to Stokes flow

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-05T12:18:00.221863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:18:00.221863Z digest=sha256:4ef676d9416946b5682354e57460d49ec6b6df33ab877f0d1da433a96689ca2f

Observation d137cf87-d1a8-4414-8d1a-6300e011de2d · inbound

Reliable Error Estimation for PINNs: Lower and Upper A Posteriori Bounds cites this paper.

Reliable Error Estimation for PINNs: Lower and Upper A Posteriori Bounds Prediction error certification for PINNs: Theory, computation, and application to Stokes flow

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-07-03T08:17:45.137434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-27T10:56:10.330401Z digest=sha256:fba8668483065420a7b71127ef35352c964d7f487eea66a209a6f0db9cecdb13