Paper Citation Record · LEDGER

Rank Inspired Neural Network for solving linear partial differential equations

As of 8 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2506.17654.

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

pith.paper-citation-record.v1
2506.17654 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:34:43.162206Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

28 of 28 outbound references displayed

verified exact1
verified fuzzy9
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bcf408a5-bf43-42ad-a165-06ba088c9410 · outbound

This paper cites Calabr` o, G.

Rank Inspired Neural Network for solving linear partial differential equations Calabr` o, G

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:34:49.175807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5f605c7b-7d17-4741-8877-9f63ee712011 · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:48.979444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 805b5134-b606-4ce3-80d8-2020fadaa177 · outbound

This paper cites Dwivedi and B.

Rank Inspired Neural Network for solving linear partial differential equations Dwivedi and B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:34:48.679287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1c0a64a8-6c27-4b84-ac0e-0a2ecdf4ddf5 · outbound

This paper cites Dong and Z.

Rank Inspired Neural Network for solving linear partial differential equations Dong and Z

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:34:48.434917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6d1ab11e-276d-40da-a76e-9a63d5abb3e5 · outbound

This paper cites Dong and J.

Rank Inspired Neural Network for solving linear partial differential equations Dong and J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:34:48.151183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 69ce4a9e-6a0a-4ea2-84fe-a128261cba93 · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:47.884404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1a4b72ab-b913-46cb-8bf4-f1419b3513c5 · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:47.561614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e0c62e34-f6f5-4991-b056-ae0ad0e15c28 · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:47.275472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 369e38f8-498c-4aec-9c49-5890a4ab21b9 · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:47.032819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5ca5ed49-11f2-43b8-b1ec-a71d05b22439 · outbound

This paper cites Variational Physics-Informed Neural Networks For Solving Partial Differential Equations.

Rank Inspired Neural Network for solving linear partial differential equations Variational Physics-Informed Neural Networks For Solving Partial Differential Equations

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T23:34:41.615648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76ed79c4-ca69-4d4d-858f-25512311936d · outbound

This paper cites Kharazmi, Z.

Rank Inspired Neural Network for solving linear partial differential equations Kharazmi, Z

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:34:46.674960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5e3817ff-add5-4964-a241-89ac0cdccbac · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:46.364793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7ce889b7-6701-4724-96af-791f877b10a7 · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:46.117695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 85943e6f-2256-45f5-92f7-2383bb8dc4d7 · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:45.849955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c1fc2b7d-798c-4faf-b366-b5875271b6f4 · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:45.664978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 838075c0-3c54-473a-a886-54b36112d81b · outbound

This paper cites Ming and Y.

Rank Inspired Neural Network for solving linear partial differential equations Ming and Y

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:34:45.264744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 474ce7cb-b9db-4670-bd02-29f4904c4e2b · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:45.116981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7a3601d8-c80f-4abf-9131-20a9e84743e2 · outbound

This paper cites Raissi, P.

Rank Inspired Neural Network for solving linear partial differential equations Raissi, P

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:34:44.963038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7533ba5a-2267-4a41-b398-58429eb2088c · outbound

This paper cites Rahaman, A.

Rank Inspired Neural Network for solving linear partial differential equations Rahaman, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:34:44.770444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 318a696f-fb56-4658-984d-19833f36a0f3 · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:44.613998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4ace25c9-bc66-4233-aebe-6e8898d246ba · outbound

This paper cites Deep Petrov-Galerkin Method for Solving Partial Differential Equations.

Rank Inspired Neural Network for solving linear partial differential equations Deep Petrov-Galerkin Method for Solving Partial Differential Equations

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:34:43.380044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 75f9ce5f-6a68-4668-8226-915b79bfb827 · outbound

This paper cites Sirignano and K.

Rank Inspired Neural Network for solving linear partial differential equations Sirignano and K

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T23:34:42.655682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d205c2a9-4874-4571-9849-623f02590449 · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:44.395463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 132de001-e41a-4aeb-9cae-c7052e20d56a · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:44.213073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e5008f7b-6a12-40e2-9057-6597b6603606 · outbound

This paper cites Wang and S.

Rank Inspired Neural Network for solving linear partial differential equations Wang and S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:34:44.032801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8d849aa2-a291-418a-9bd0-688d8301eb9e · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:43.894860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d3216049-6e9e-4088-87c8-c1a7f1b0348c · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:43.738967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3dcb1b19-5a16-4119-996b-580abec244db · outbound

This paper cites an unresolved cited work.

Rank Inspired Neural Network for solving linear partial differential equations Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:34:43.553202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.