Paper Citation Record · LEDGER

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks

As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2505.20361.

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

pith.paper-citation-record.v1
2505.20361 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:14:44.310747Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:49:58.172359Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T00:49:58.311234Z

Reference resolution

26 of 26 outbound references displayed

verified exact3
verified fuzzy1
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9e01fd9b-a209-40d6-9c77-72dd77f9aecb · outbound

This paper cites Raissi , author P.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Raissi , author P

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:42.284659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89629eea-1626-4a9e-9d66-aff2e1b964cb · outbound

This paper cites Raissi , author A.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Raissi , author A

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:42.380973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 025ad86a-c64d-448c-aff7-fea596fa97e3 · outbound

This paper cites Qiu , author R.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Qiu , author R

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:42.461016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4be7d38-6eb3-48e5-bb53-a9cb1d37d544 · outbound

This paper cites Zhao , author W.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Zhao , author W

Reference 4

Resolution: verified exact; doi, observed 2026-08-07T14:14:45.104290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c932b2fe-77aa-40fa-b6e3-dfa94a636072 · outbound

This paper cites Haghighat \ and\ author R.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Haghighat \ and\ author R

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:42.610722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 785d787f-d99a-4acf-9ed6-c9917ce88e38 · outbound

This paper cites Haghighat , author D.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Haghighat , author D

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:42.662598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5b5ce65-1f08-4500-84e6-b0a4140f0733 · outbound

This paper cites Wang , author Z.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Wang , author Z

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:42.731921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a0d5467-4be6-494d-aef9-ae92f3874049 · outbound

This paper cites Oh , author S.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Oh , author S

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:42.801618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22a10e9d-f947-4426-a5a6-204d33cc15d1 · outbound

This paper cites Xu , author Z.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Xu , author Z

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:42.930501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dca30bb2-6583-41d0-9e34-accb785bcaac · outbound

This paper cites \ Peng , author Z.-Q.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks \ Peng , author Z.-Q

Reference 10

Resolution: verified exact; doi, observed 2026-08-07T14:14:44.896212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a56e8035-7879-4ebc-800a-cc1b28e283a4 · outbound

This paper cites M \"u ller ,\ title title Hydrodynamics of core-collapse supernovae and their progenitors , \ 10.1007/s41115-020-0008-5 journal journal Living Rev.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks M \"u ller ,\ title title Hydrodynamics of core-collapse supernovae and their progenitors , \ 10.1007/s41115-020-0008-5 journal journal Living Rev

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:43.083505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5451b9a2-cd18-4431-8bc8-3dc78a42d5d8 · outbound

This paper cites Kifonidis , author T.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Kifonidis , author T

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:43.158012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0eb9fd26-806c-435d-82e3-0e73573b038f · outbound

This paper cites Atzeni \ and\ author J.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Atzeni \ and\ author J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:43.235866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd8a7d45-bed1-4e1a-9b5a-3fcbe5a430cc · outbound

This paper cites Betti \ and\ author O.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Betti \ and\ author O

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:43.285306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cafea466-f962-4de3-b7ba-49cd09a9e13a · outbound

This paper cites Yang , author T.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Yang , author T

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:43.343916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 606152cc-27f8-4e39-af64-3a6393aebd78 · outbound

This paper cites an unresolved cited work.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-08-07T14:14:44.599797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 409ee9b1-13fe-4dcb-b84c-4c8225d049a7 · outbound

This paper cites Wang , author Y.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Wang , author Y

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:43.455607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9f3628a-5338-4616-b6e6-a96e8d0ac77e · outbound

This paper cites Mao , author A.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Mao , author A

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:43.504233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffe0150e-c77c-4270-a145-8d6e90f14a6c · outbound

This paper cites Lu , author X.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Lu , author X

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:43.553707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96310fee-932d-43e1-8518-504d7de086c5 · outbound

This paper cites an unresolved cited work.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:43.612643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82d438d5-67ca-475f-a657-a3096f71b746 · outbound

This paper cites an unresolved cited work.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:43.664415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e75819c-1776-4de3-b927-ad9f61717698 · outbound

This paper cites Yao , author J.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Yao , author J

Reference 22

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T14:14:45.559447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cfeb89d3-3e44-40ea-ac80-6f3d79a60ece · outbound

This paper cites Liu , author S.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Liu , author S

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:43.884777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bddd4d4e-332b-4443-8f19-65a4f88d6bac · outbound

This paper cites Ferrer-Sánchez , author J.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Ferrer-Sánchez , author J

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:44.082185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9f41c81-d376-4ec5-9d54-c8665e715fc0 · outbound

This paper cites Paszke , author S.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Paszke , author S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:46.246810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f85e411b-faf8-412a-888b-e0ca5a20a019 · outbound

This paper cites an unresolved cited work.

Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:44.310747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 26daba08-006d-4006-bdff-b3da53f20542 · inbound

Physics-informed token transformer methodology for nonlinear balance laws. I. Schwarzschild--Burgers fluid flows cites this paper.

Physics-informed token transformer methodology for nonlinear balance laws. I. Schwarzschild--Burgers fluid flows Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-01T03:32:35.398805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77fe0703-50c6-416a-a38f-c851f5bfc488 · inbound

Efficient Weak-Entropy PINN for Solving Hyperbolic Conservation Laws cites this paper.

Efficient Weak-Entropy PINN for Solving Hyperbolic Conservation Laws Solving Euler equations with Multiple Discontinuities via Separation-Transfer Physics-Informed Neural Networks

Reference 28

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T00:49:58.316760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.