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Paper Citation Record · LEDGER

A deep first-order system least squares method for the obstacle problem

As of 22 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2508.19412.

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

pith.paper-citation-record.v1
2508.19412 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:00:55.883415Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

  • verified exact1
  • verified fuzzy20
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bbad1378-baf2-4fcd-9f1a-1572267b0aab · outbound

This paper cites Arora, A.

A deep first-order system least squares method for the obstacle problem Arora, A

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d0399b97-b0ba-4eff-aeba-3e3dc08f3557 · outbound

This paper cites A physics-informed neural network framework for modeling obstacle-related equations.

A deep first-order system least squares method for the obstacle problem A physics-informed neural network framework for modeling obstacle-related equations

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-05T16:00:55.947926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 294d7a60-ce04-4e77-ab11-a2796df62fee · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:00:56.500547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 5c42966a-850d-4fe6-a2b8-0d335ac4f64f · outbound

This paper cites Bengio, N.

A deep first-order system least squares method for the obstacle problem Bengio, N

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation af8f580d-3418-4fe2-95cf-1f651b0b3be1 · outbound

This paper cites Berg and K.

A deep first-order system least squares method for the obstacle problem Berg and K

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation eb5efc0e-976b-44fc-921f-07bfca724ea4 · outbound

This paper cites Bersetche and J.

A deep first-order system least squares method for the obstacle problem Bersetche and J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:56.460380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 7d536c15-352f-402f-a9ef-6904443045cb · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 7

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation a19baf83-e8f9-4cf7-acf0-c5df3e5cacdc · outbound

This paper cites Cheng, X.

A deep first-order system least squares method for the obstacle problem Cheng, X

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:56.430879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T16:00:55.755965Z digest=sha256:2e1e95625ed0ed0291938703c4ff8640e24a05cee9abe169ff7fa84f06e8b3ad

Observation 9a2e3620-c5df-4dc8-86bb-b3ff44fe9404 · outbound

This paper cites Chouly, P.

A deep first-order system least squares method for the obstacle problem Chouly, P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:56.416369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 28b30c74-7842-4f44-a437-8e4f938191a7 · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 10

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation bf2417fe-8d77-4658-98cf-dcc62d2cc93a · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:00:56.386725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 78e843dc-b3c9-40b4-8ea8-87e460adcf3c · outbound

This paper cites Darehmiraki.

A deep first-order system least squares method for the obstacle problem Darehmiraki

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation dad90fcc-f55a-4650-8b80-e7dc58489827 · outbound

This paper cites DeVore, B.

A deep first-order system least squares method for the obstacle problem DeVore, B

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:56.357164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 5d639dbf-bd84-4cac-b78d-ffeb33c02f63 · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 14

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation fe581b34-cf97-4aaf-b1e2-eecd5361ff89 · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-05T16:00:55.785166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:00:55.785166Z digest=sha256:281861ed6dccf3576700d3d39755b776bba89f21d1a3adeef9b3d493e761f631

Observation 4dab242a-d478-453f-94a1-28ce496ecb40 · outbound

This paper cites F¨ uhrer.

A deep first-order system least squares method for the obstacle problem F¨ uhrer

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:56.307815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T16:00:55.789298Z digest=sha256:952fb5979b1b4610391603466a11da90c6933d30c262f5bef37bb189ac2eb67e

Observation d057c665-597b-4f00-bb2c-eb00c913d05f · outbound

This paper cites Glowinski.

A deep first-order system least squares method for the obstacle problem Glowinski

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T16:00:55.793660Z digest=sha256:c32580f5a14fd823ff8be40d86ec1a2bd16e6b55cae83e98367d9c1a0ddf088d

Observation 2e4ec262-a146-417a-a6aa-5271b1f72ec5 · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 18

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 457433cc-9d23-406c-afc1-6b86c4d7ee26 · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 19

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 2fcbebd1-861b-41b7-b3bf-db9bbd49c088 · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 20

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 20a1cdc7-8833-4487-8a0c-ff077dda6e24 · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:00:56.216917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation cef6eddb-5830-41d2-871a-19d8fc1f2ce1 · outbound

This paper cites Hubara, M.

A deep first-order system least squares method for the obstacle problem Hubara, M

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 0fd07a1d-905b-45c2-8a20-f66e8c2356be · outbound

This paper cites Kinderlehrer and G.

A deep first-order system least squares method for the obstacle problem Kinderlehrer and G

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:56.181222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 886c53bb-7791-4b46-b1a2-1c965f8f1965 · outbound

This paper cites Kingma and J.

A deep first-order system least squares method for the obstacle problem Kingma and J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:56.164840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation e64ce8cd-6a97-4ce5-8373-593c7e6020ff · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:00:56.148019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 9ab7f4d3-9113-4565-9b7e-5c227719ad16 · outbound

This paper cites Liu and Z.

A deep first-order system least squares method for the obstacle problem Liu and Z

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:56.132622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b1c8bbaa-8c15-48d6-8af8-4c45b6446640 · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-05T16:00:55.835033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6458cc46-749f-4cb6-94dc-adb1de683124 · outbound

This paper cites First Order System Least Squares Neural Networks.

A deep first-order system least squares method for the obstacle problem First Order System Least Squares Neural Networks

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-05T16:00:55.839526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:00:55.839526Z digest=sha256:90c6f1cecd49e9fbe1774406a1f5960828ac1aca222a9440eb5ca2bfbbda69f0

Observation 6a57ab1d-8ed1-4c2a-a3da-ea558b8fc173 · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:00:56.106641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 277ccccb-88b9-46ab-99ed-3c153919baf3 · outbound

This paper cites Raissi, P.

A deep first-order system least squares method for the obstacle problem Raissi, P

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-05T16:00:55.849157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:00:55.849157Z digest=sha256:2d8f1d789bc38e25220c3f4914b2f8e16ef01f6f6a757a714bd7adaefe8dcc40

Observation 3e7d23d7-1ae9-4021-b67d-5961068e534c · outbound

This paper cites Rodrigues.

A deep first-order system least squares method for the obstacle problem Rodrigues

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:56.081042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 55797bb9-221a-4d92-8dbe-9d0c7844025e · outbound

This paper cites Sirignano and K.

A deep first-order system least squares method for the obstacle problem Sirignano and K

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-05T16:00:55.858357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:00:55.858357Z digest=sha256:b4c5e55dc3ce1c1b17b95fff8d505e7af49a8f982f5fd7913a066c73b7325058

Observation 849eadde-f7de-4963-af7f-a45e9d08e8eb · outbound

This paper cites Sukumar and A.

A deep first-order system least squares method for the obstacle problem Sukumar and A

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:56.051003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation f78874bc-5e96-4f92-9b06-df128b35a4cd · outbound

This paper cites Tr´ emolieres, J.-L.

A deep first-order system least squares method for the obstacle problem Tr´ emolieres, J.-L

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:56.034200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 221fbb36-1b3a-4e00-a124-b53efc619cea · outbound

This paper cites Wojtowytsch and W.

A deep first-order system least squares method for the obstacle problem Wojtowytsch and W

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:56.015784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T16:00:55.870779Z digest=sha256:8ee2a7db2f184f2b4bc4091900554a56c5a33617e14bc26e0de323d2a65c1405

Observation 6a5cb705-7364-4db0-bbc7-9858993e5d5c · outbound

This paper cites an unresolved cited work.

A deep first-order system least squares method for the obstacle problem Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:00:55.998545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T16:00:55.874915Z digest=sha256:ceec608bb29cd8132a5e8e3a444f57d0935de6fedcd750bf78362eb0e3899b91

Observation b9148344-7c05-4f2d-8ce9-d4871cb439e2 · outbound

This paper cites Yarotsky.

A deep first-order system least squares method for the obstacle problem Yarotsky

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:55.982293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T16:00:55.879235Z digest=sha256:d702882bb5ce93bd6f7b43ea2f741327db34cd9a9ba3b23d40ce7034a8036881

Observation 8fb98e5c-b70d-41ae-9b82-980678054cd3 · outbound

This paper cites Rafael Laguardia.

A deep first-order system least squares method for the obstacle problem Rafael Laguardia

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:00:55.967293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T16:00:55.883415Z digest=sha256:77d0e15a8baf124612dc29e63ab1ff9fa553e8098526188c4ab02f8cf413ef08

Pith citing papers

No inbound Pith citation observations are available.