Paper Citation Record · LEDGER

Unstable mode around the 3D boundary layer flow

As of 19 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2509.06089.

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

pith.paper-citation-record.v1
2509.06089 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T04:44:31.138310Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

36 of 36 outbound references displayed

verified exact2
verified fuzzy26
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4b5f5c61-6112-4dcb-b8f8-957934450032 · outbound

This paper cites Bian and E.

Unstable mode around the 3D boundary layer flow Bian and E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:37.333701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 39b0c916-7608-4ee2-b3e0-af3058639629 · outbound

This paper cites Bian and E.

Unstable mode around the 3D boundary layer flow Bian and E

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:37.131598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4e45d49f-ed06-40c3-a0ed-31de62786f05 · outbound

This paper cites an unresolved cited work.

Unstable mode around the 3D boundary layer flow Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:44:36.955363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b080d4c7-a6bb-4bcb-82c1-53f2a51d4aa2 · outbound

This paper cites an unresolved cited work.

Unstable mode around the 3D boundary layer flow Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:44:36.668175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7a2ebd7f-50d7-4d08-847b-1b06556c7e5f · outbound

This paper cites an unresolved cited work.

Unstable mode around the 3D boundary layer flow Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:44:36.440332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7be71661-f2d3-493a-879e-27f3a31f0acf · outbound

This paper cites Gallaire, D.

Unstable mode around the 3D boundary layer flow Gallaire, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:36.199717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 605f6b51-5f44-4037-bd7d-df377ec407d8 · outbound

This paper cites G´ erard-Varet and Y.

Unstable mode around the 3D boundary layer flow G´ erard-Varet and Y

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:35.935740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1650ddd9-49a7-4e26-87a5-dcd8a555f0e5 · outbound

This paper cites G´ erard-Varet and E.

Unstable mode around the 3D boundary layer flow G´ erard-Varet and E

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:35.718017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6b121e06-450a-4445-b9ce-286c77af1e58 · outbound

This paper cites G´ erard-Varet, Y.

Unstable mode around the 3D boundary layer flow G´ erard-Varet, Y

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:35.531631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dbc29c5e-ed7e-4adb-8d9d-1b19dbfef06d · outbound

This paper cites G´ erard-Varet, Y.

Unstable mode around the 3D boundary layer flow G´ erard-Varet, Y

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:35.337876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d3a85ea5-c730-4176-b16c-af7ac6485d45 · outbound

This paper cites Grenier,On the nonlinear instability of Euler and Prandtl equations, Comm.

Unstable mode around the 3D boundary layer flow Grenier,On the nonlinear instability of Euler and Prandtl equations, Comm

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:35.153695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 83baf38f-0d36-4733-9cfd-3c224bed81fc · outbound

This paper cites Grenier, Y.

Unstable mode around the 3D boundary layer flow Grenier, Y

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:34.972782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f84a0554-51b1-467f-9f1a-edb53b9cbdd4 · outbound

This paper cites Grenier and T.

Unstable mode around the 3D boundary layer flow Grenier and T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:34.776828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 390f3e39-36a8-448b-99b2-fa3220f0e682 · outbound

This paper cites Grenier and T.

Unstable mode around the 3D boundary layer flow Grenier and T

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:34.602497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 871a9763-a8e9-41ce-a8e2-79054f739cf7 · outbound

This paper cites Guo and S.

Unstable mode around the 3D boundary layer flow Guo and S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:34.420406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ee008512-c6bf-4eab-b638-14e311cde986 · outbound

This paper cites Global-in-$x$ Stability of Steady Prandtl Expansions for 2D Navier-Stokes Flows.

Unstable mode around the 3D boundary layer flow Global-in-$x$ Stability of Steady Prandtl Expansions for 2D Navier-Stokes Flows

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-05T04:44:31.484168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2353d1b6-c39a-41e9-aa13-9c0c3f60e171 · outbound

This paper cites Kukavica, V.

Unstable mode around the 3D boundary layer flow Kukavica, V

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:34.288222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3dbfbbf3-e91f-4bad-b0f8-f69b80ad7ecb · outbound

This paper cites Li, N, Masmoudi and T.

Unstable mode around the 3D boundary layer flow Li, N, Masmoudi and T

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:34.146297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 73b54a34-8528-47e0-a739-21cb3824783b · outbound

This paper cites Liu , Y.-G.

Unstable mode around the 3D boundary layer flow Liu , Y.-G

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:33.967555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c83f0c27-f712-414f-85da-1c56f8e765c1 · outbound

This paper cites Liu , Y.-G.

Unstable mode around the 3D boundary layer flow Liu , Y.-G

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:33.856467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fff1b9ad-3987-4e34-a768-59c5b7bcce71 · outbound

This paper cites Liu , Y.-G.

Unstable mode around the 3D boundary layer flow Liu , Y.-G

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:33.716796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e091ece5-3789-4b2d-8052-b315cd749745 · outbound

This paper cites Maekawa,On the inviscid limit problem of the vorticity equations for viscous incompressible flows in the half-plane, Comm.

Unstable mode around the 3D boundary layer flow Maekawa,On the inviscid limit problem of the vorticity equations for viscous incompressible flows in the half-plane, Comm

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:33.581345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 420d6f3d-0448-4e4e-b40f-11365578ff4d · outbound

This paper cites Maekawa and A.

Unstable mode around the 3D boundary layer flow Maekawa and A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:33.447636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0ccb5ddf-8e34-4f19-bef5-c9e01e8617fd · outbound

This paper cites Mack modes in supersonic boundary layer.

Unstable mode around the 3D boundary layer flow Mack modes in supersonic boundary layer

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-05T04:44:31.331744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 184a7265-fc3d-4542-9d50-4a93f62a938d · outbound

This paper cites Masmoudi, Y.

Unstable mode around the 3D boundary layer flow Masmoudi, Y

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:33.300256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fccad64f-4a9c-497e-84d6-b592d7c669fd · outbound

This paper cites Mazzucato and M.

Unstable mode around the 3D boundary layer flow Mazzucato and M

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:33.084451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fba89a99-bfe3-4568-97f9-acc445466f09 · outbound

This paper cites Nguyen and T.

Unstable mode around the 3D boundary layer flow Nguyen and T

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:32.967642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5c920bbc-62f7-4b87-9bf0-d9f227012f54 · outbound

This paper cites Prandtl,Uber Flussigkeitsbewegung bei sehr kleiner Reibung, Verhandl.

Unstable mode around the 3D boundary layer flow Prandtl,Uber Flussigkeitsbewegung bei sehr kleiner Reibung, Verhandl

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:32.780675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a14ed589-cc39-4ed7-b4bd-34616bdb11d4 · outbound

This paper cites an unresolved cited work.

Unstable mode around the 3D boundary layer flow Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:44:32.659696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3d138054-740a-4a7e-aa88-9a0c0e90ed4a · outbound

This paper cites Sammartino and R.E.

Unstable mode around the 3D boundary layer flow Sammartino and R.E

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:32.556839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6eb65803-f941-4c85-828d-f1f143d91d38 · outbound

This paper cites an unresolved cited work.

Unstable mode around the 3D boundary layer flow Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:44:32.443682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e7a33a12-7132-4820-ae63-e2f07e39749f · outbound

This paper cites an unresolved cited work.

Unstable mode around the 3D boundary layer flow Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:44:32.234442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 339e5764-d4ec-48af-b55d-109ce778eeca · outbound

This paper cites Schlichting, Boundary layer theory, 4th ed., McGraw-Hill Series in Mechanical Engineering, McGraw- Hill, New York, 1960.

Unstable mode around the 3D boundary layer flow Schlichting, Boundary layer theory, 4th ed., McGraw-Hill Series in Mechanical Engineering, McGraw- Hill, New York, 1960

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:32.116558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a7140052-d522-4d3f-9edb-84403de19da6 · outbound

This paper cites an unresolved cited work.

Unstable mode around the 3D boundary layer flow Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:44:31.932270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 60b0af38-8ade-4f8b-8efc-eea88a75c34d · outbound

This paper cites an unresolved cited work.

Unstable mode around the 3D boundary layer flow Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:44:31.769697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ba69a896-e7ac-451c-90c2-33686d045d22 · outbound

This paper cites Yang and Z.

Unstable mode around the 3D boundary layer flow Yang and Z

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:44:31.631551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.