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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=sha256:69d4a78e2ff68e9d81671c8267eee26e57f226635914c09982ee35c032e762cd

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:a4f211ce2faa1f3a46278a0dc7e8c6c75ee37bd4b57978f81fcc09101f5bda69

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:fae9c5ae420851df9d30ccf715cedb03524e69a7688baa345b5f6b72c2b9e851

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=sha256:79dda5ecb8dc0d0fc6cd959b0434f5b03c43d3dce3ec9a5603c24f3cd0a6091b

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:f55f45e1920b3a1aaae7338eb12e20d2bff952a4db2cc12c4ecabebea14af3e8

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=sha256:7eadf8bed61263407a9a7aad941b27d0cdfe83ffea4d4641e56fa3f3590f035c

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=sha256:1b2997ed0f86f767a17633171bafb560d7c36b4679de4a0c75c0c7819032393f

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=sha256:8f5702262ba3c5706cf67c89186ab5a9c1ba46294f9092810d84dc76b7e80e05

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=sha256:26da5ce78c312ce61385df003f3560da7cfee5248c69ead750c42eb85f383109

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=sha256:19c9775f8fdf7a4d758481dd874aae8de13727579c6b7e56b1379458d0625bde

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=sha256:0497dc7143c03d70070b3d3095c4d2874d9e5f24d72446fd531cb53d7843bce6

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=sha256:6c22e16c52635088c454c75eca1a3d4a39fa3893ad732e7775deb436320e2348

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:d8f7867d5fa500cc5829290d5146fb453cf5df137dc7d0358641fca335befbf7

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=sha256:06d2b240e1908f30d66a417c375491d0f778e66a8f68730cadb5fadd1f780a8a

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=sha256:39d18fd9842044aea2944ba3f8f816c6345fac985573c11fc0b3336b3ed43322

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=sha256:8b2650d17e1ca9c422a82edbd4dd2f6736edf1a65c3a8c1debf5bf4a1eee188a

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:a8db739147471f26c68427c298c91a21ec9e36e16bd964af042e10d8a794b530

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=sha256:32bb4bb22fb5acd143b30d917662558f6f483d010872c6fb95ab9f49e37ac951

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=sha256:0b77745f447118baf40ac151615b4052e961ec151e7181b3319aea5fac887245

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=sha256:9341318f1afaa118c11e33317d5dac698047b843c70e138f35dcaa5186a7402e

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=sha256:6e0a792564107436970d3533607be9193188aaaa7574fffc0a06dc5d71633754

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=sha256:0b1192dbc03acf3fc7ad7030222518ab2f00a1a99db124de427a03e1e0f1fefc

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:b4059c489a343f9a02cc4fe0550af6a947abf32ab9b6e637f249496b764c4869

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=sha256:79f59d8f83e855b8cbac56997827e34faa0e43533c077ecf051744ac2d1538a9

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=sha256:6c775b69be0cc12fd389c99d87e6b38171b0d0b269053ae06926ef6597e23fa9

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=sha256:9f1c8e10f02f87593aac771d1942bffc7b137f31fe1818dcac5c38342980b25c

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=sha256:1ea39251d6db0eafc9de27f277889014c8793acb367e9126120e5fce9b14084b

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=sha256:38a2959b71e6b09336500647bf3bf489c320ea71fc1db78ac1a6d3ccb93c6f60

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=sha256:243d5c9264cd1300cb241f7441c03d8c032d129c08eba3fc217a445c17585dc3

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:ebf4682ce36068893ff03038fe2e0600b11b1afdd4dc3e6343abc7a764b60475

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:a1e9492cd7d34a8be5bf934a48166c6ca0b39ccdbb42fafae0e9bd41fef6f459

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:c5d810cabb2b30e756aea9f0219dfae0325a2e2a9ac1bb298a85859c260d6992

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=sha256:352d6fd91c8c518400987a2192653cae472f8fc3349505c1d5ca33a10a229736

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:a3fa1ab3d02d87fdbafb12764c206b9e5c8e41c8c7f56bde6b461344feb265fd

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=sha256:540eaf46a812b5666caa75761fae93123680581b84496448ca2b25a358cb05f7

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=sha256:6e7c9233c6af06b884a7ea85dcb285f2f20654309b136ea66ee9cba825a2a739

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:f7aa6e72e70383185cfa63b93270ae690b2a6cda566addb9cbde9e54dd19938b

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=sha256:910a365be8340e0f3de6a7ef3511b9a69c27c055a908f44b6768e7d4f5deb39e

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:e81cca7b504b84f5188be1e41f67f89c6c7159e4782fe0160448ee3aa20bdc19

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=sha256:0524fbce2b088fa0a8bea0894194679254a3ce3161b5cae96cc3a35bf97baf30

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:e4e86c9257c02811819b37240a679aecef996e9c7c2e75c07568fc66a896361a

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:e104a98e41ed0ffa8d28bcbbe1141a45efdbc4a13e2bdcca90956f12d41f80d5

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=sha256:05fc428fc2f88dbc6021b03ca3266c297c5d538fb082eab4ced11634d40bb01f

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=sha256:1d4e40316214b07bbef24096b1cbf9b993ea7c3bc03213dc8c3a677c56a91233

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:c1f7b7bc90ac35a0db4266b67ac47390fc348b97a8d53b2662b47f8e98ca7098

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=sha256:0df65e9abb304b6ac4c53c15683aa0c8e33fd47e5c5d04ee2ccf4e4c202b80fb

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:d8953818a0066d5d49e2617ea07558a5dc6e64d1217c0410e9cc346e400320ca

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=sha256:3dada55b5699a0f93eb5105c85d36768a7d11fcf918e17fba2b7894d83646f0e

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=sha256:4d5b02d6a5f16132151a04855de1565ad3a7f130a1c20dc5400fcb844d543083

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:b97e5f204272ec9f274cf93eb112c196f563b09c467642d5cd9a5d04c77d7a93

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=sha256:62ede3d71e63cbd35c5d3e8a98373e112448b8115645c809810da32f26b82fae

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:c55b6187c25390bb398d6585d95536a4f2854ba5f8c97d66016f9f31b0448cf2

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:a1e7d970b4cfda04938505b87769ca0bbd2b879b7f109ceaa1507b2f49449013

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:e8c732b90041c847ea29447b718b831f2a6a775ace8390c487fa9afb656c6f2f