Paper Citation Record · LEDGER

Adjoint shape optimization of oscillatory rarefied gas flows

As of 14 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2608.06910.

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

pith.paper-citation-record.v1
2608.06910 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:38:11.784688Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

38 of 38 outbound references displayed

verified exact0
verified fuzzy15
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aa5a6497-705c-4d40-880b-f2579b4b1598 · outbound

This paper cites Karniadakis, A.

Adjoint shape optimization of oscillatory rarefied gas flows Karniadakis, A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:12.454720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d9c47b9c-f5c5-4fe2-977a-28480455b6ed · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.438455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ea575090-40f9-4a15-80c4-ecd6a284b237 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.420917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c225c7e3-7996-4861-908a-4cef7d757aad · outbound

This paper cites Jameson, Aerodynamic design via control theory, Journal of Scientific Computing 3 (3) (1988) 233–260.

Adjoint shape optimization of oscillatory rarefied gas flows Jameson, Aerodynamic design via control theory, Journal of Scientific Computing 3 (3) (1988) 233–260

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:12.402646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ad7c228f-5646-438c-b337-d7619c845a58 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.385061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 65af6293-9fa2-4ff1-9274-dcb56c64bee9 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.366815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation efb1b16a-64d9-4ee4-94d0-dc1d9e4fb769 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.344239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8005b466-46c8-4acf-abb2-930a13fa8391 · outbound

This paper cites Caflisch, D.

Adjoint shape optimization of oscillatory rarefied gas flows Caflisch, D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:12.326209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b2d388bb-cb55-4878-bace-31a8c0c10454 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.308631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3885504c-194a-488b-acf1-7787785096d7 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.290883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d0bf9028-3e21-47d0-9199-73607a1f0477 · outbound

This paper cites Zhang, R.

Adjoint shape optimization of oscillatory rarefied gas flows Zhang, R

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:12.270804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3f77f420-3437-4d3f-8793-40fbdf54c1aa · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T18:38:11.633277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0b19b1d-b2da-4846-898e-3b7963378281 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.240800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5cd26f79-aaa4-4aeb-9631-ab8919b8308c · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.223423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a994e567-20a2-4bc1-930c-1364c625abbd · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.208821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f24d183e-22ca-41ed-b2bb-6f961d309b15 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.193681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4f966cee-e4d3-4ad1-997f-4044c31e8f65 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T18:38:11.663126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfe4b27d-fb88-453a-b010-6fd5a31aec30 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.164735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4e84e32e-33d4-4c25-ac1f-b3c2ac1f5295 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T18:38:11.674010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 874b2c75-1575-40d5-a6ad-e57d3343aff6 · outbound

This paper cites Jin, Asymptotic-preserving schemes for multiscale physical problems, Acta Numerica 31 (2022) 415–489.

Adjoint shape optimization of oscillatory rarefied gas flows Jin, Asymptotic-preserving schemes for multiscale physical problems, Acta Numerica 31 (2022) 415–489

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:12.135597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a057e970-63b7-4b75-b13a-b75380303a7d · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.120908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6780e821-d32c-460d-9bd1-53b3229a690c · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.105368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cc062f2d-2065-4d42-87d3-d3f204b154b0 · outbound

This paper cites Shakhov, Approximate kinetic equations in rarefied gas theory, Fluid Dynamics 3 (1) (1968) 112–115.

Adjoint shape optimization of oscillatory rarefied gas flows Shakhov, Approximate kinetic equations in rarefied gas theory, Fluid Dynamics 3 (1) (1968) 112–115

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:12.089321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 21a74ca0-2d94-4861-90fe-05bac1038690 · outbound

This paper cites Wu, Rarefied Gas Dynamics: Kinetic Modeling and Multi-scale Simulation, Springer, 2022.

Adjoint shape optimization of oscillatory rarefied gas flows Wu, Rarefied Gas Dynamics: Kinetic Modeling and Multi-scale Simulation, Springer, 2022

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:12.071059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fd42dec9-4a9e-4a92-868a-712e8a4e694b · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.051565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 50495aee-1857-4172-9ca9-c68144dccdec · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:12.033214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 84a5f1a3-c8a8-4097-973e-61dd87f8f10f · outbound

This paper cites Svanberg, The method of moving asymptotes—a new method for structural opti- mization, International Journal for Numerical Methods in Engineering 24 (2) (1987) 359–373.

Adjoint shape optimization of oscillatory rarefied gas flows Svanberg, The method of moving asymptotes—a new method for structural opti- mization, International Journal for Numerical Methods in Engineering 24 (2) (1987) 359–373

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:12.018219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7ac7b9ac-84e0-47b9-95a4-3949fae1c491 · outbound

This paper cites Svanberg, A class of globally convergent optimization methods based on conservative convex separable approximations, SIAM Journal on Optimization 12 (2002) 555–573.

Adjoint shape optimization of oscillatory rarefied gas flows Svanberg, A class of globally convergent optimization methods based on conservative convex separable approximations, SIAM Journal on Optimization 12 (2002) 555–573

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:12.002078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 17a30db6-4e9d-4db4-9eb1-dc814a9c1b1e · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:11.986065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 99ce39d7-37a6-4d8e-ad06-0152a2c61fc3 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:11.969480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8a200a1-2a89-49c9-abdc-8abfeacbab6a · outbound

This paper cites Chapman, T.

Adjoint shape optimization of oscillatory rarefied gas flows Chapman, T

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:11.949064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 52427169-9c6b-4979-8de2-64e8ad4e7965 · outbound

This paper cites Piegl, W.

Adjoint shape optimization of oscillatory rarefied gas flows Piegl, W

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:11.931132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 80d1e740-bb59-449e-9b0b-fe79e8bb8565 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:11.914507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8b0eb1db-7796-4ba9-94f5-5fc2ac3ba75f · outbound

This paper cites Wu, Sound propagation through a rarefied gas in rectangular channels, Physical Review E 94 (2016) 053110.

Adjoint shape optimization of oscillatory rarefied gas flows Wu, Sound propagation through a rarefied gas in rectangular channels, Physical Review E 94 (2016) 053110

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:11.897126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 37fe8521-b5fc-4f79-a02c-50d65beb2cc2 · outbound

This paper cites Frangi, A.

Adjoint shape optimization of oscillatory rarefied gas flows Frangi, A

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:11.880093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d871848a-9c13-4d4b-8421-8c79c00af274 · outbound

This paper cites an unresolved cited work.

Adjoint shape optimization of oscillatory rarefied gas flows Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:38:11.862110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aa8c5aac-1d56-4c64-bc91-be2ed0ccb11d · outbound

This paper cites Darwish, I.

Adjoint shape optimization of oscillatory rarefied gas flows Darwish, I

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:11.843084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation af009bc5-b311-43be-b122-ba0366970dcd · outbound

This paper cites Zhang, R.

Adjoint shape optimization of oscillatory rarefied gas flows Zhang, R

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:38:11.824818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.