Paper Citation Record · LEDGER

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers

As of 11 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2607.14498.

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

pith.paper-citation-record.v1
2607.14498 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:03:21.124984Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

25 of 25 outbound references displayed

verified exact0
verified fuzzy0
unresolved25
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 402b7667-1110-44c8-96d4-0591ebcd0f84 · outbound

This paper cites an unresolved cited work.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:18.904769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75b29f84-e046-49c3-948a-000482b13ce5 · outbound

This paper cites Bersetche and J.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Bersetche and J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:18.947357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87bbf8b6-7d03-4853-bd0f-629b37b4a762 · outbound

This paper cites Binarized Neural Networks: Training Deep Neural Networks with Weights and Activations Constrained to +1 or -1.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Binarized Neural Networks: Training Deep Neural Networks with Weights and Activations Constrained to +1 or -1

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:19.014754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42c49d96-2835-43c8-ba77-0662b369b314 · outbound

This paper cites an unresolved cited work.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:19.084755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 094fb67d-829e-4438-88f9-f0fdfb8e0a49 · outbound

This paper cites an unresolved cited work.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:19.214754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32e14610-33ac-4c2b-bf8d-9f814a559bb1 · outbound

This paper cites an unresolved cited work.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:19.295294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5322a56f-97d0-422b-85bd-816f2839e681 · outbound

This paper cites Glowinski, T.-W.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Glowinski, T.-W

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:19.374767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cad55a4-0882-403e-abc2-be1cdf2893c7 · outbound

This paper cites Grisvard.Elliptic problems in nonsmooth domains, volume 24 ofMonogr.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Grisvard.Elliptic problems in nonsmooth domains, volume 24 ofMonogr

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:19.413591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87e78d93-2c19-44a5-a6ba-5ba4eb153628 · outbound

This paper cites an unresolved cited work.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:19.501057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97ee81e0-02a1-4a7d-ac03-390649b87963 · outbound

This paper cites an unresolved cited work.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:19.604758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee2c65cb-f3e7-451a-a0e5-0098b3e4f01c · outbound

This paper cites an unresolved cited work.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:19.674754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5fe3d7c9-a4ae-42e7-bc38-c4dab4e344fe · outbound

This paper cites an unresolved cited work.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:19.764754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9e22989-4988-48ee-926a-fd7ee228ed48 · outbound

This paper cites On the expressivity of deep Heaviside networks.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers On the expressivity of deep Heaviside networks

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:19.854759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa317f90-521c-4463-9184-ca147dc40662 · outbound

This paper cites an unresolved cited work.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:19.935156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44a4322d-7d83-4b91-a381-bf5f47941c88 · outbound

This paper cites Liu and Z.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Liu and Z

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:20.014756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1423d22-4064-4935-ba0d-48402c1071de · outbound

This paper cites an unresolved cited work.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:20.064754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd7c0093-a006-4fe0-b060-1f53ceb4a123 · outbound

This paper cites Maz’ya and G.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Maz’ya and G

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:20.174761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fc28a92-9a10-4024-9fcb-356ad0f9adbd · outbound

This paper cites Nikolov and P.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Nikolov and P

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:20.323485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 515664e7-9637-433d-854e-254eb7a2e1ee · outbound

This paper cites First Order System Least Squares Neural Networks.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers First Order System Least Squares Neural Networks

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:20.464755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af78a3bd-cee6-4b64-bb9e-1059cb87c2a4 · outbound

This paper cites an unresolved cited work.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:20.654753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8f0e4df-2b7e-4084-8298-aced297d92b0 · outbound

This paper cites Raissi, P.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Raissi, P

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:20.824756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c56292ad-fcc2-4945-a801-1e47bc28df58 · outbound

This paper cites Sirignano and K.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Sirignano and K

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:20.904755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7f9c0b5-36a7-41c5-9fcf-87bf5aa62fdd · outbound

This paper cites Umuroglu, N.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Umuroglu, N

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:20.984751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ac67770-3b5c-4602-a06a-241b7af50428 · outbound

This paper cites Wojtowytsch and W.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Wojtowytsch and W

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:21.064753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ef95dfb-ec32-4963-a906-0898b81363b1 · outbound

This paper cites an unresolved cited work.

Neural Very Weak Formulations enabling Hardware-Oriented deep PDE solvers Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T02:03:21.124984Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.