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Paper Citation Record · LEDGER

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

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T16:00:55.726035Z digest=sha256:f42bd4e19ee20e926606c570d8f85a4547b35ef6342554b7506e82b1010fe82d

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 2026-08-09T06:31:02.800959+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
raw_fallback, observed 2026-08-05T16:00:56.487874Z

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=2026-08-05T16:00:55.736021Z digest=sha256:f31d61dd2c7211c51f49e74bed6258cbb6c6a572e03bfa2e164c00f75c41da57

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
raw_fallback, observed 2026-08-05T16:00:56.474445Z

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.

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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 2026-08-09T06:31:02.800959+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
raw_fallback, observed 2026-08-05T16:00:56.445744Z

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=2026-08-05T16:00:55.750933Z digest=sha256:b1ebb37e2114af911c35e965df8e09d64ec1c855b5c60bd4143fda2e641684b7

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T16:00:55.755965Z digest=sha256:09ee20da9edb198d4937e877b256f38ba06566b7e3058ecbf13725a94b73e5a1

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T16:00:55.760143Z digest=sha256:07828e8247c4993d4519bccb5573ae6c4d00d2ceb53a67ef8b5214366561ce01

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
raw_fallback, observed 2026-08-05T16:00:56.400650Z

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.

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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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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=sha256:10c3fb3c2911a61bd1b1f458fa46db1052298d2dee8a3069bb3aea51868faea2

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T16:00:55.789298Z digest=sha256:7da512d99cba7fd2799d878d00618f872fe5b5e5a369698e288f735549d66ec8

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T16:00:55.793660Z digest=sha256:7a5e16a027af858a89bf25b58c08e1844fc4c18f05bf5740deb5fee897714eb9

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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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
raw_fallback, observed 2026-08-05T16:00:56.200432Z

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.

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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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+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.

source=pdf_text observed=2026-08-05T16:00:55.835033Z digest=sha256:485f7b5fb068d812b01b1531f7b92f21255001967664043b7b8c2fa2baf99675

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:a83dfe68920969b2d053e0b9a0857a922967d140410e68988ee5f2f1b9d9ee37

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 2026-08-09T06:31:02.800959+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=sha256:98eda954b90cd319c9a2ffeb3b7c8fa0964bd67179ff6aac33d71cee1c54e853

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 2026-08-09T06:31:02.800959+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=sha256:2020382c316436fd2168e62df65e5319b618e114fae019314869e02dfdfff8bd

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T16:00:55.862272Z digest=sha256:eac26e74df3e954f1797756992eff57ce69ea2d0a770f44b8c0d4e869367bcb2

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T16:00:55.866287Z digest=sha256:40f16bfc43184c0aa55cb035f4db55eab8f6b44362f3a4580a52abb4c856cc36

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T16:00:55.870779Z digest=sha256:def3eb962cc69e13b91fd2914bac341f7e1bb3e585cf90029db7bbd70a55dbdf

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T16:00:55.874915Z digest=sha256:043d131b89b6a078c3ea98110613fb03e0454c13202c129a072370dcbf4e405b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T16:00:55.879235Z digest=sha256:f10697308d57cbbd440708103f35a1f051003e2356a4f240d08e4a8a096a92ab

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T16:00:55.883415Z digest=sha256:4f165ddec51feda2511cd83e8eaa61da22f4391c2d8a1a7efd997b190ba95112

Pith citing papers

No inbound Pith citation observations are available.