Paper Citation Record · LEDGER

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

As of 7 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 2026-08-07T06:34:17.273281+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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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 2026-08-07T06:34:17.273281+00:00.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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.

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.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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 2026-08-07T06:34:17.273281+00:00.

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.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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.

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.

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.

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.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.