Paper Citation Record · LEDGER

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations

As of 22 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2608.04191.

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

pith.paper-citation-record.v1
2608.04191 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:47:09.141933Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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 exact5
verified fuzzy5
unresolved15
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 41faee5a-f58f-4843-9c4f-07c2985f120e · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.485704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 51c70955-8e9b-437d-957b-c8f1511a2284 · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.476311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 711abb47-af8a-48f9-ace0-637fe46fcf91 · outbound

This paper cites Raissi, P.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Raissi, P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:47:09.467107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation be05d7a4-bf21-463b-b8ad-872fbf6851d9 · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.457676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 691bc51d-3cab-47f0-a780-da3994ceeb66 · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.448636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ff1562ab-58dc-480a-ae19-7946c00372aa · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.438845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 03b49cf1-418b-409e-8aef-41f421c9ec29 · outbound

This paper cites Krishnapriyan, A.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Krishnapriyan, A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:47:09.429789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b33093aa-55d0-4459-ae08-f93595e6415c · outbound

This paper cites Self-adaptive loss balanced Physics-informed neural networks for the incompressible Navier-Stokes equations.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Self-adaptive loss balanced Physics-informed neural networks for the incompressible Navier-Stokes equations

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:47:09.313969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0bf2f937-ff0f-49d5-8880-403ece6d680f · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.419376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 99185abd-d1e7-44e3-8576-cc085f15f6ce · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.409910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cde536d4-0aa6-4945-ad7c-c3afe35a5b5d · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.400580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2c563f81-68f2-46a3-9065-546d148a5d9e · outbound

This paper cites Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domains.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domains

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T14:47:09.097985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07f0cf0d-89a3-412b-9546-d0ffea2f6a93 · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.391048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 31f34b19-0463-494d-87b1-8a6b1af40c79 · outbound

This paper cites An Expert's Guide to Training Physics-informed Neural Networks.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations An Expert's Guide to Training Physics-informed Neural Networks

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T14:47:09.104669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48ca7aeb-aaac-4a3a-b3f5-eb6c81b2f43d · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.382087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fdf8b4a5-1bea-4cfa-bb13-584d9225ce36 · outbound

This paper cites Cappanera, S.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Cappanera, S

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:47:09.372748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 605d02ef-aaa7-43fa-8649-38d44879df06 · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.362707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8152b21d-800a-4a24-b13b-319342299158 · outbound

This paper cites On the artificial compressibility method for the Navier Stokes Fourier system.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations On the artificial compressibility method for the Navier Stokes Fourier system

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:47:09.283619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3ad9e866-57be-4d07-94d4-02e735164150 · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 19

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:47:09.270049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3919a5df-fe0c-4d9a-93c9-d1b4bf82207f · outbound

This paper cites Unsupervised simulation of incompressible flows with physics- and equality- constrained artificial neural networks.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unsupervised simulation of incompressible flows with physics- and equality- constrained artificial neural networks

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:47:09.189616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7816fa1b-c3ff-496c-8858-1ef00d499e34 · outbound

This paper cites Franceschini, D.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Franceschini, D

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:47:09.353361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation aac02bbb-4297-418a-b19c-9921cf3c912a · outbound

This paper cites Mons, J.-C.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Mons, J.-C

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:47:09.342806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3662d914-8f61-4e7a-aadf-8c6df48c4f98 · outbound

This paper cites Adjoint Method versus Physics-Informed Neural Networks in PDE-Constrained Inverse Problems.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Adjoint Method versus Physics-Informed Neural Networks in PDE-Constrained Inverse Problems

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:47:09.175147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation aaedf08f-08f6-424c-8cd6-8027cc9a8fd7 · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.333234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation adb5329d-a4ed-4ce0-be14-12a2bfda6f99 · outbound

This paper cites an unresolved cited work.

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:47:09.323834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.