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Paper Citation Record · LEDGER

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection

As of 19 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2606.08747.

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

pith.paper-citation-record.v1
2606.08747 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T17:55:03.373344Z

measured 38 of 38 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

38 of 38 outbound references displayed

  • verified exact4
  • verified fuzzy0
  • unresolved34
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4fb466f9-4412-46f1-884c-d10ebd7ce2b2 · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 1

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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:a8183830c7236c366f6ba77a3143b7952a1a9beac1c4156ea77d83d94ff16335

Observation 8809d2dd-eb4e-464e-953d-6b849ca6f349 · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 2

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:7d0e81eee64138feec529b3d34affe299c54c28d0b5eec5af211f2b7b7a3bdc3

Observation cf238a18-ada1-4400-be68-380c8854f5d5 · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 3

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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:1a166e8deea49cd4d24c90d65bd30e2ce39cb4bd4ad14ad39bd11129dab4ab2f

Observation abdd22c8-5262-4d11-b9d7-2e1043ea2739 · outbound

This paper cites Zhang, L.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Zhang, L

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:08e638743033f57fd59b7731e95333dceea1404c93f3ff3491bedc5df5de9aad

Observation 71fa0e0e-fe06-42cf-8d32-fe1baf8b8512 · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 5

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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:c6536ff5169a9d23c2bd69887409832ad0b0399f597dd0642f553aa4a0c90a32

Observation b780598a-c8a4-4429-ba42-04fc218b7597 · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-06-27T18:01:08.541262Z

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.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:828db5307e47262efb1e132b48b6ee523d8a4abc7772f654d45ff7f12566743f

Observation e594531f-6ea3-4cf0-a6f4-91880b4951d0 · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:873c78e1321413ce781a62fb46b234554a89703efe31d19548f0489862d1eaaf

Observation 36afac45-5d90-4326-826b-2cb5ff6b59df · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 8

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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:9d70154da4ca2e2c2b64125f3d58cc5109ae42cf88654f67f4a6f7d4d302d562

Observation 19b90d99-462f-4ae5-8548-ff0374ad2671 · outbound

This paper cites Cheng, J.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Cheng, J

Reference 9

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:22f004969d193f35016faaf38acd84d513eeb63211acdd05372bdfa02cbe26c8

Observation 82236073-8b56-4e48-9170-243f768ee69d · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 10

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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:cdf06da3cda46724462135b2ae6cdc60ae9daf7ee5604d8da5fedb1315b58867

Observation 656a4dd1-48f3-4428-a61a-5ac5f43ae465 · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 11

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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:dd4c0eb6c1c9a0f75cfa8b452347f1eab50d5f1870f543ac4907b9a98e6b19e2

Observation cb3746e1-b760-474b-bf3a-6850ed623258 · outbound

This paper cites Schmid, J.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Schmid, J

Reference 12

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:8dfad77960fa045e7cfe2580cd3add341a6847cda03bcfc5e8f3d270ee827914

Observation 453a13f2-a67d-4c19-842b-3acbc3bfc228 · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 13

Resolution
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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:d28fa36f20688d644b77a9fe025f66342209f253a4cfb349299cecb680a02283

Observation df033ff5-0d1b-4c1b-80bb-2385fdf5381b · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:e145681691dcd3175bbba1c23976553f6aaa3e64476298311cd5dd4687f3942a

Observation c8cc8a0a-89a7-43e4-9ada-cec12b9b7960 · outbound

This paper cites Maldague, S.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Maldague, S

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:458ab3241846edeee761a1b6df35596fe4a696788c69f44bf361e07a2f86b98c

Observation 488f8cfd-bc1b-4f94-b2dc-1edd84c03974 · outbound

This paper cites Jiang, P.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Jiang, P

Reference 16

Resolution
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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:3cc4e19db268b9a9891ce5a080da8778d3775febaa0424acf5b60525950ff35f

Observation 25bea732-9e39-420e-9ddf-ec0387f31c5a · outbound

This paper cites Chaaraoui, N.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Chaaraoui, N

Reference 17

Resolution
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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:398d2da763aa7b70aa6a1e7e22d4a4f8b3bd26b002113833c4b188ff80eefca4

Observation 0e38b13f-d917-4809-a9d4-d8fc9826850f · outbound

This paper cites Jiang, P.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Jiang, P

Reference 18

Resolution
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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:8f570a4a8ece60287f9c422d345e65adc63dcd70ef42d507c2f65803863c7905

Observation 91e323c9-0446-4a3b-a445-134d2aaf0779 · outbound

This paper cites Making neural networks understand internal heat transfer using Fourier-transformed thermal diffusion wave fields.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Making neural networks understand internal heat transfer using Fourier-transformed thermal diffusion wave fields

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-06-27T18:01:08.547019Z

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.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:fdd30f7f67731299149bbd0801a8e95638c3b13e845ec90c56550d7a0b19be31

Observation f87f811d-78e0-4dda-89c4-a3e0cc115387 · outbound

This paper cites Tabatabaei, A.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Tabatabaei, A

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:2ea820094fa62ed982208778d38d9449739eac306c0cffec53bf8b410329e8aa

Observation 6e540cb2-e76e-4d07-b573-20443cd3cf5d · outbound

This paper cites Mandelis, L.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Mandelis, L

Reference 21

Resolution
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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:704d4cb3d93f080fc73ad1aa496d89e35b95f27476265df8dc4a5e1de47cd070

Observation 25cf3a16-05e9-463f-8cb3-b87353ae16b1 · outbound

This paper cites Mandelis, D.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Mandelis, D

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:9f4e9b961ec8e7735a8833e90843c2061bbf4a289ec5ee1897f4fc28fcf12c86

Observation 6fca50a6-75bc-4f2f-8832-f5d1c8b60498 · outbound

This paper cites Pacheco, R.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Pacheco, R

Reference 24

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:b63e12f5d70338a57f0d9568874710d3e85f5ff05bb32d3577bcc4d520820409

Observation 574a37c1-4f6c-477e-8d16-d9c7e874a141 · outbound

This paper cites Inguva, E.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Inguva, E

Reference 25

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:10f7b7d7df75b049e2de0a4c23bc3553636da243c213d48c6712ef38fa90ced1

Observation b3f08603-92b4-4b5e-88eb-2aaab4b5c713 · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 26

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:ef8257d22965806e95f73499755ea2793521276552bbc854c90f38f17d8faf39

Observation cdc96284-20ca-495a-9c3f-66110b4ed429 · outbound

This paper cites Thapa, P.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Thapa, P

Reference 27

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:23fa657380ad0743088d66f379ac7dbe534729fd21d98ba7ecfda4c56ca31e11

Observation 148969dc-8b0d-436a-86d4-7be7191b247f · outbound

This paper cites Thapa, K.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Thapa, K

Reference 28

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:02203f6242e4f5f26474608ca1f0e27628de02ff9da57be5ef712828f93c5f43

Observation a84fc94c-48a6-4e56-b93b-c9ff8978467a · outbound

This paper cites Ahmadi, G.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Ahmadi, G

Reference 29

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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:7d7d7c493753e3952cab205996e8a5bc68e798425690648a89ea0b96c334c7ad

Observation e9de56bd-8c60-4109-a7d0-b849eb545d47 · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 30

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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:d6217161d5b717c783aa9708c0d26b186506117f6fbeda6ea27b95d717671f04

Observation dfc810d4-9db4-4162-9e33-722dab187956 · outbound

This paper cites Lecompagnon, S.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Lecompagnon, S

Reference 31

Resolution
unresolved
no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:08797a3d4e4dd29bd6109b75e75b2f39c3012796567684aa082366358ed8b182

Observation 3cfedb33-b86c-46f0-9aea-4f9949e19491 · outbound

This paper cites Burgholzer, M.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Burgholzer, M

Reference 32

Resolution
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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:eabd0d304951388284b35fe5bc60dda3898fb9591c82d53854cc607e99645050

Observation 5763be8c-4cb4-4a68-932c-7c29ed9f5508 · outbound

This paper cites Gahleitner, G.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Gahleitner, G

Reference 33

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no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:3194b0a2ed3ac622ff13f63d918593229fb5921b6284ae670871c05986aed68b

Observation c8e73c45-8cee-459e-8661-36bfb93ddf2b · outbound

This paper cites Burgholzer, L.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Burgholzer, L

Reference 34

Resolution
unresolved
no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:d3f62e512b6bfa271ab834fac1205db3f97a887026fa9bc70fd1bdee4ec9ea46

Observation 137e2911-88ea-441d-985e-9294c61fc6d7 · outbound

This paper cites Gahleitner, G.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Gahleitner, G

Reference 35

Resolution
unresolved
no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:b808a833b294603f586574de06190a1a455ec7cf3c510a9bfa449675b6b578b9

Observation 1ecf03d3-8c19-45d3-8e92-b52e4b9636e7 · outbound

This paper cites Burgholzer, L.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Burgholzer, L

Reference 36

Resolution
unresolved
no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:5b7cbb133ac324273f49e2b707ca71cb1bf0707839c3588c0d8d5de27de4b4b3

Observation eca67300-586a-4709-a103-4d13b407b333 · outbound

This paper cites Gershenson,Time-dependent equation for the inten- sity in the diffusion limit using a higher-order angular expansion, Phys.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Gershenson,Time-dependent equation for the inten- sity in the diffusion limit using a higher-order angular expansion, Phys

Reference 37

Resolution
unresolved
no resolver link, observed 2026-06-27T17:55:03.373344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:2a7c89d6bfef1aa078552a50513e4ba43be9ca9cff75e69ada7caaf55320e287

Observation e2c300f3-e761-45b8-b906-bba85c0e748f · outbound

This paper cites Generalized Virtual-Wave Theory for Photothermal Coherence Tomography under Arbitrary Excitation Toward Non-Contact Industrial Inspection of Composite Materials.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Generalized Virtual-Wave Theory for Photothermal Coherence Tomography under Arbitrary Excitation Toward Non-Contact Industrial Inspection of Composite Materials

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-06-27T18:01:08.549932Z

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.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:0daacf174a2e8040ec2ee1e5010c5a01c66c7264d52a7da595b203cc8ab39e94

Observation 28f070ff-7900-4980-abdc-0b3630d80603 · outbound

This paper cites an unresolved cited work.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Unresolved cited work

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-06-27T18:01:08.543981Z

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.

source=pdf_text observed=2026-06-27T17:55:03.373344Z digest=sha256:763c20f8750ed1f3bd8fee0608ac1c05117665408155db81136470e7a40c0c99

Pith citing papers

No inbound Pith citation observations are available.