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Paper Citation Record · LEDGER

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

As of 18 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:31.792189Z digest=sha256:be6090d05ac99f35fe295bbe1390f8cabfbc2a88d7e7e44841eb155588a7be97

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:31.882441Z digest=sha256:f420ef0515fce8f4160f781bf9eaa0e945c13803ede61172e63cddca092f7fee

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:31.988207Z digest=sha256:7949f633c7aee12f3ef8705d60fc2d3dd1cdf11b79c79b748dd03fe15809a711

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:32.055647Z digest=sha256:8344a2c41d5bde32f2ebab998b3410f3bf57c9c18898391570cc0f054db2f2a3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:32.129340Z digest=sha256:752415a3dd7396dcbcbe384229b6b73fb2f325c700d40f0411ce2b8809ce25e9

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:32.193762Z digest=sha256:abcab858cca983d4abf1f3da164b349bf123bd1d366243d5ff6af15e1d00aa80

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:32.301784Z digest=sha256:13a1e00f01e201c530d5a9d754bb74df9bfbb370e79122caf30281a7a69b1af6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:32.389578Z digest=sha256:37b2325333e81a557d938818deb50bee2da75028b29b305e823a05cecdbedd90

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:32.497673Z digest=sha256:4bb42679cc91c3212b9e5a24349285bff78b3d247f2f75671cfc55069bf8bf89

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:32.577254Z digest=sha256:886e1a5d7c200c205ec43f45196b17529df0ad84001c014295c96d26e69dfcc9

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:32.671969Z digest=sha256:ee4dacb18f390a38a8a80c24eac9bd361296fee930d04c673fd360bece6fa41d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:32.774637Z digest=sha256:75845d49b09f0b044a0fdc547ce4fb0e263a3f2f113d6580203f5bcf5ff27de6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:32.865579Z digest=sha256:69c852c41d30b8526f350dcf46c4e334d55cbcaa0789445ce7b606f36d513b51

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:32.975418Z digest=sha256:ed0015c1b7bffd1520d5f8586389e6352a06864df20084f6ab980b2cc05a90e0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:33.081066Z digest=sha256:5dfd6f7a378416638f2c6f30ba4c59ec24bd72151d7dbffd7663362dd3dfa26f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:33.186307Z digest=sha256:bddf623a6dc25bf74c8b7b3c6172c2882211aeaa61f3a7a121a629759d8429b0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:33.258589Z digest=sha256:ea6dcfc533df3f83f5e904884b6e99cb818741c91926ecb2e347d1fb46e7be24

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:33.355008Z digest=sha256:070b9ac13080077a6d643787c579fde2beb440b78d2fac9c52a8ce74bf44fe3e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:33.424957Z digest=sha256:fbb06203818eeb84b5f0172652d61bdbf560131db35832bd4d7a8872bb1ba2f6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:33.482359Z digest=sha256:ca3af85d7f062c8c86b14623f8dbc57a4a729db2caf659989f9e237da2f43a53

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:33.540204Z digest=sha256:064a905c16710b90dbd43f8fdd3b70336b460462bc2ce2b4f191064905c17036

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:33.630120Z digest=sha256:6c10fbb8d72d69993614b2e6196c4e77f361e0357b1ef4dae224b3f44ef3111c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:33.712584Z digest=sha256:be0dea7a3d3d88402b887ff9977b3c1151fd0c26a22d613aa77ca5e4e07a29b1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:33.796157Z digest=sha256:748343b56b6d38cc303a08eba06cb1a9e82ce6f7535ec617cc08c1961d098aaf

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:33.887157Z digest=sha256:a1134f893ca866ced7cda9c2105837fd5e44b12c5bcb06754d0cf3da26bdba97

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:33.977857Z digest=sha256:70da1359127ed9f9f56010bf84b95cfa255f0f8fad8042288a43b840b3dc2033

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:34.062247Z digest=sha256:9f647581b3d974919d650c07cc86b27604cd55cdbe4b9baf607942656147a49b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:34.121176Z digest=sha256:722a44ae4050bb80b8a44d07809ea07a8b1ff253fbf8cd8432a2febb5a35a8d2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:34.213265Z digest=sha256:dfaf41f77593bc72ac51bd14f26c904b669f082279bbe066706f97a76e25b43c

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=sha256:360c993e6f16accee26eb66b8a7ca9877f7f76684fd8a3cf11e16dc189104a3a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:34.384160Z digest=sha256:ce8fd7d86deed6822168336d94f860fe2dbe2fb5e9796fd8d58e3f2df2ec37f2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:34.471155Z digest=sha256:c5200835a8a5f0253bb03ddac12e34cdb8efc6316eeaa5950e457c00dee87320

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:34.558495Z digest=sha256:9dd3e559f3f08c7847df0f549807596b97084c3dbec0d54c0bb4abf6152e11dc

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:34.619860Z digest=sha256:2422832999741611c220ebeea3e119f80525a9bb2ddfbba37cc1f7d587b6b8dd

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:34.731108Z digest=sha256:1a97215975e73d6373c2070c115b7da73ad22d74d9fd060e69fde5e8dc40845a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:34.799803Z digest=sha256:9c7e52fddcc4e184fc01c60dd95b9ba501856853f612b6c5daff14014b2a2e49

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:34.886743Z digest=sha256:81ea742c064e9b989c448bba1237cc5847a0594a2ad1ba3cbe27f6125fae1ec3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:34.942766Z digest=sha256:fc764ede3448cbad5bbd0963134297fa8998f2dfd01705e9a603ed05cf036f3d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.007772Z digest=sha256:6e275f40acd282f8f04af8c58c252ff5ec462a6105d054a3466d220f93b80582

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.072746Z digest=sha256:b8a9980da237c19ad1896a03146284bc611a475b6369fd4766c16d5cfec838c2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.161877Z digest=sha256:9b75023a948b678ef4ae40ba00e2ddd362201af6761256ad5900399822a3f48b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.217143Z digest=sha256:c7c4d7297651d634abd50eafea6c23020ad090ee2f40b549abe54d1e31479bae

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.314012Z digest=sha256:cfa1c567ddc4443626efa4fc599b77790ebc92cf69cd84ba0e1e0ca04475f7e3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.413493Z digest=sha256:392966f1168d5127c77ee0b3a2e8f1c2372bfa76b9239f221b0a64a14ff4f832

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.475124Z digest=sha256:3c367be66942e4015e9aca36914e98467534dc34294677000fc281c285489cae

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.535779Z digest=sha256:f66117ef0d321534da007c583af721b6119c64632791b5a9cd8b2fc0e1c9ee80

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.626281Z digest=sha256:e4dc5f3ce2072549fc16feb2381d9c11617f0825cbbb148a9ea3f669deee6838

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.700061Z digest=sha256:c48e61c593e464087eb9d60dcf9534465564852fd87b8bd55ccaa9525a7cbe7c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.773176Z digest=sha256:aa6d29599afbcd25d503c037c5d29985ea10604f693099370786b97170ecdd03

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.835266Z digest=sha256:5cfc46edbffb99daf9f36c13434237177db184358f78e988d26bb695f9adb4d1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.896685Z digest=sha256:9456c07ac98d020797661757acf9ffd8e3b2fbf1c4b42f12b6bca1e10258f315

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T21:51:35.986625Z digest=sha256:b0073bf581df51f2a598abd24e6fff9d20eb0d5552ca20b62f4cf9e982d825f1

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=sha256:253f4c0b2259828c2b1e5b5d80f5df5252f012a634e70dff9990ab6ad2482a19

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-27T10:56:10.330401Z digest=sha256:4ec64ef30a834f06988a5dea2a95629f27354e4414db6c67e83b6bcbed297bc8