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Paper Citation Record · LEDGER

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle

As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.01694.

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

pith.paper-citation-record.v1
1908.01694 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:11:17.885640Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

29 of 29 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 14656b75-9f43-4db5-81d3-f665a2e60431 · outbound

This paper cites Bae and M.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Bae and M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.550358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.719770Z digest=sha256:43d3d4456cc6b21e59a437a06d341ae1c52dcc108e67bceafd8ccd716183d43d

Observation efc3d7ad-1e93-4fb6-b671-11bbd2f7839c · outbound

This paper cites Bae and S.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Bae and S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.531092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.726319Z digest=sha256:792f7ec133468e85b34f8fb342a26ac81af1db6281ff5bd3bf8f8ce05f7dc6a6

Observation 43b70394-b53f-4956-8295-b6131a8ae171 · outbound

This paper cites Bers, Mathematical aspects of subsonic and transonic gas dynamics, Surveys in Applied Mathematics, vol.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Bers, Mathematical aspects of subsonic and transonic gas dynamics, Surveys in Applied Mathematics, vol

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.512202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.732208Z digest=sha256:000906d8746526e71f906cf21793531a137b50d9e6e1c802a560433bcf331bd3

Observation 8e2e3132-e27c-4e83-8445-725d330502a1 · outbound

This paper cites Canic, B.L.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Canic, B.L

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.493721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.738926Z digest=sha256:b5b7315b0f0e4b95330f716bcd63eb299becc836b12c0d501a5f92f6fb72d586

Observation c5b53d23-23e1-45ff-8174-ab92d2852ec3 · outbound

This paper cites an unresolved cited work.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:18.475344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.748297Z digest=sha256:21f9127f38d4a0a0b4b26c2f9fb0a356392c5a2855bfbd864a308596b7077182

Observation 82ba00a5-090c-41e0-8fa3-d94e172e421c · outbound

This paper cites an unresolved cited work.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:18.452363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.754375Z digest=sha256:e46da916e19ddf0b4ad27dd2fbc757360079816ac4d36ff7ad9e39f3901ee3fc

Observation 9a6fa269-a3b8-422d-a4c6-30acedcfd8f1 · outbound

This paper cites Chen and M.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Chen and M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.433062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.760639Z digest=sha256:efc4138cce00668c67e6f7d5f4a12673faec3151b45d95fe629f3d42b21f3077

Observation 150921e6-66d5-4c6b-bb87-6668fb466da4 · outbound

This paper cites Chen, Stability of transonic shock fronts in two-dimensional Euler systems, Trans.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Chen, Stability of transonic shock fronts in two-dimensional Euler systems, Trans

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.407419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.766064Z digest=sha256:b012b56484c4300f70df732077428a0dfe493f44b7f4ffddb4a076b58267637d

Observation 4795631a-77e2-4fe6-8c80-2ffe5ed0be8a · outbound

This paper cites Chen, Transonic shocks in 3-D compressible flow passing a duct with a general section for Euler systems, Trans.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Chen, Transonic shocks in 3-D compressible flow passing a duct with a general section for Euler systems, Trans

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.383462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.771137Z digest=sha256:5743fccbfdbc1609f1a7e5ecbcdfcc35e0f73f9f827fedbf3ef2f2dd86a5ae65

Observation 4129a13f-11dd-4c26-b334-aa460ea6e4b6 · outbound

This paper cites Chen and H.Yuan, Transonic shocks in compressible flow passing a duct for three-dimensional Euler systems, Arch.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Chen and H.Yuan, Transonic shocks in compressible flow passing a duct for three-dimensional Euler systems, Arch

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.360642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.776682Z digest=sha256:0881ba1d7ed0f397223d868327a15cf4205f1715b6482d465116ffd4b78493c2

Observation b0aef7ef-7450-4f59-b658-7617af832ca2 · outbound

This paper cites Courant and K.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Courant and K

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.340801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.782286Z digest=sha256:72ffb6229f97618f58d53f6af7c533055e96a89bcaf451d1e12a37372a74a1e0

Observation 4e484adb-b85f-4197-a41b-ba1c37df6e56 · outbound

This paper cites Embid, J.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Embid, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.319918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.789155Z digest=sha256:07805fd49ce851897625973966bbc30ec2daf24da7e80347232d67d9417c99af

Observation 1f7ffc98-cf17-4275-bae9-f41a3e50f20e · outbound

This paper cites Gilbarg and L.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Gilbarg and L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.298147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.794417Z digest=sha256:187b40bd42c93712e4679d8e2846e192cf4b5185e453453b28ccce3cca3521e6

Observation 731c3d44-6e8c-457e-8c65-7f8f38c5e240 · outbound

This paper cites Gilbarg, N.S.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Gilbarg, N.S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.272513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.800536Z digest=sha256:29b199c41746bdf3ce5a1e0666c2aec71072bff742719e9ac6cb8aee28608b1f

Observation bcc4baed-6608-4b1b-9fce-ecf473d8bb17 · outbound

This paper cites an unresolved cited work.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:18.252821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.806278Z digest=sha256:4afdd7dbc3d4579d9ffbb7c284918077eadd975ee83c92f832b4cca147b2d347

Observation e4a33381-2107-4019-905d-da675185553e · outbound

This paper cites an unresolved cited work.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:18.232926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.813655Z digest=sha256:7a9396bccda3b5859046c2295bb1d36f5d951f53e12c47fd6a967b1751cdf97f

Observation 9b732842-41d6-4f01-81ec-c39de4aca482 · outbound

This paper cites an unresolved cited work.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:18.204473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.818548Z digest=sha256:198853f62b923e86b3cacdc66cda5a60da5108b328cc01be626648291b386bf4

Observation 187596f6-bf9f-4767-9077-77e271b3c101 · outbound

This paper cites an unresolved cited work.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:18.176423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.823561Z digest=sha256:dafd2ee42422204be5696acc303177af55254920c5952483ef7e0e1ba7d9c141

Observation fe3989d2-5677-4765-94d4-cd6dbb9d8c62 · outbound

This paper cites an unresolved cited work.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:18.157742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.829084Z digest=sha256:d5e366804b437422ec7bb3e4a44136a935949967f4fa7473c911367527969fe9

Observation 2efba406-349e-4eb6-abc8-6085e10201e4 · outbound

This paper cites an unresolved cited work.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:18.131190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.835532Z digest=sha256:4daacdbfc8fbe68339688c4ff8a33c22c595e20e789747c490e34b047306a625

Observation 0a34c0c2-0c7d-44d8-ab4b-7c128d9de79b · outbound

This paper cites Liu and H.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Liu and H

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.104367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.841767Z digest=sha256:4d04127f00a1fdbe96ae3e37092c11abcc6f73e217307c7669c51f60392f541f

Observation b5b2d07b-2764-4aa4-a916-9b3e327a5a1f · outbound

This paper cites an unresolved cited work.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:18.081708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.847226Z digest=sha256:bcca948f01a26e5f3840b0e69086cc3a8c412d5a97482be60a64b0193bf7c56e

Observation 5af8e612-3226-4da2-a41b-bfdab39e41a9 · outbound

This paper cites an unresolved cited work.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:18.059257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.852949Z digest=sha256:f4e96a3037c1706e49b93d68e5a97598cf64d2f1d6d8d30a4a86c31c45c8c5c5

Observation 2c041c09-1be1-412b-9209-9c6762aef505 · outbound

This paper cites Liu, Transonic gas flow in a duct of varying area, Arch.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Liu, Transonic gas flow in a duct of varying area, Arch

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.032067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.857926Z digest=sha256:bdbe80c8afa58b4b448b339fae5a963c67ef9c8967303bb6329784404aa20fbd

Observation 35e04951-2686-4ebd-bb9f-6a921e41265d · outbound

This paper cites Weng, Multi-Dimensional Conservation Laws and a Transonic Shock Problem , M.Phil.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Weng, Multi-Dimensional Conservation Laws and a Transonic Shock Problem , M.Phil

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:18.009790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.863129Z digest=sha256:775d9de30fa542ab35ba31eb561c997ade8c1731fca5b2ca13571e79c0e1ee0c

Observation 8055e633-c8be-4fc6-9fa2-fc7997e20cf4 · outbound

This paper cites an unresolved cited work.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:17.988539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.868764Z digest=sha256:efdc813a90db3f6320d6f6aca554135ffd3b0dbd9cc842de137b8e7bcddaa7f5

Observation d31a2e11-e188-494f-b300-155ecda2928d · outbound

This paper cites Xin and H.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Xin and H

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:17.964342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.873953Z digest=sha256:fcf1fd3e0783c2edbb911bd85b71eeaaf055e2c1913fe4ed7c960dc69e9abc89

Observation 4a60fa99-ea95-4c6a-8c2e-ee68398b23f0 · outbound

This paper cites Xin and H.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Xin and H

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:17.946652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.879751Z digest=sha256:4658ad4b53dc0b6f8157bebd95b53b26c94b9e88b318b3585458613dfbc00950

Observation cb8e5a00-6f14-459a-a5ba-6053c1bb800d · outbound

This paper cites Xin and H.

Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle Xin and H

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:17.927170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:11:17.885640Z digest=sha256:8300fd823293b614d57b44739f185b2d720acfc5756e17153d70d3548a41116b

Pith citing papers

No inbound Pith citation observations are available.