Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:12:44.775016Z
Paper Citation Record · LEDGER
A three-dimensional energy flux acoustic propagation model
As of 7 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2506.03325.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
35 of 35 outbound references displayed
- verified exact0
- verified fuzzy30
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 38c80afa-62ef-4f88-b7da-adf7456513c0 · outbound
This paper cites Foundations for Development of Three-Dimensional Energy Flux Acoustic Propa- gation Models.
A three-dimensional energy flux acoustic propagation model Foundations for Development of Three-Dimensional Energy Flux Acoustic Propa- gation Models
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.270626Z
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 df4c3ca9-04b4-4b09-8ebe-696b39ea432a · outbound
This paper cites Guided propagation in a slowly varying medium.
A three-dimensional energy flux acoustic propagation model Guided propagation in a slowly varying medium
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.257522Z
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 b92c8010-7243-4732-be15-468e4438e0d0 · outbound
This paper cites Averagefieldinanunderwatersoundchannel.
A three-dimensional energy flux acoustic propagation model Averagefieldinanunderwatersoundchannel
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.245294Z
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 fa394b65-62a1-4e27-930e-36183dc848ff · outbound
This paper cites Ray and wave invariants for SOFAR channel propagation.
A three-dimensional energy flux acoustic propagation model Ray and wave invariants for SOFAR channel propagation
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.232484Z
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 c3b00e79-f9a8-4c59-95b5-24d363241e08 · outbound
This paper cites Acoustic flux formulas for range-dependent ocean ducts.
A three-dimensional energy flux acoustic propagation model Acoustic flux formulas for range-dependent ocean ducts
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.220248Z
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 2bd72044-4220-4c7a-82c7-8ad582496543 · outbound
This paper cites Acoustic flux methods for oceanic guided waves.
A three-dimensional energy flux acoustic propagation model Acoustic flux methods for oceanic guided waves
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.206613Z
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 76a24bc6-8d07-402b-8483-f54d8c3087bb · outbound
This paper cites Wave-theory peaks in range-averaged channels of uniform sound velocity.
A three-dimensional energy flux acoustic propagation model Wave-theory peaks in range-averaged channels of uniform sound velocity
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.192822Z
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 7ae923ee-10c5-41f5-80e0-19516d2d5c13 · outbound
This paper cites The equivalence of bottom loss and mode attenuation per cycle in underwater acoustics.
A three-dimensional energy flux acoustic propagation model The equivalence of bottom loss and mode attenuation per cycle in underwater acoustics
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.179302Z
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 1c25bf0c-ebeb-4020-a430-93f20a62fe26 · outbound
This paper cites Reflection loss and mode attenuation in a Pekeris model.
A three-dimensional energy flux acoustic propagation model Reflection loss and mode attenuation in a Pekeris model
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.166303Z
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 f6fbffee-830e-4dd1-8d46-f3a4dad817e8 · outbound
This paper cites Connection of acoustic beam displacement, cycle dis- tances, and attenuations for rays and normal modes.
A three-dimensional energy flux acoustic propagation model Connection of acoustic beam displacement, cycle dis- tances, and attenuations for rays and normal modes
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.153338Z
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 7ae46bfa-d716-4b8c-b8d9-9c86bfbcae9d · outbound
This paper cites Cycle distances and attenuation in shallow water.
A three-dimensional energy flux acoustic propagation model Cycle distances and attenuation in shallow water
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.139156Z
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 46822171-04df-44fb-b39a-f5c82ed60246 · outbound
This paper cites Horizontal refraction in a three-dimensional medium of variable stratification.
A three-dimensional energy flux acoustic propagation model Horizontal refraction in a three-dimensional medium of variable stratification
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.123844Z
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 c69734a6-dc12-434d-9efc-c21c1cc3fe39 · outbound
This paper cites Three-dimensional ray paths in basins, troughs, and near seamounts by use of ray invariants.
A three-dimensional energy flux acoustic propagation model Three-dimensional ray paths in basins, troughs, and near seamounts by use of ray invariants
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.108974Z
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 05121708-83f2-4ba9-98a2-d8e81c340399 · outbound
This paper cites Acoustic shadow zones in the horizontal plane.
A three-dimensional energy flux acoustic propagation model Acoustic shadow zones in the horizontal plane
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.095011Z
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 deee7e69-67fd-45f3-9073-03022a2d8a33 · outbound
This paper cites Ray convergence in a flux-like propagation formulation.
A three-dimensional energy flux acoustic propagation model Ray convergence in a flux-like propagation formulation
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.081409Z
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 ad59624b-20f7-4863-b447-79439a75b2a5 · outbound
This paper cites Efficient modeling of range-dependent ray convergence effects in propagation and reverberation.
A three-dimensional energy flux acoustic propagation model Efficient modeling of range-dependent ray convergence effects in propagation and reverberation
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.067695Z
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 50657ede-8a28-4d5e-b3dc-0d8aca8f0db6 · outbound
This paper cites an unresolved cited work.
A three-dimensional energy flux acoustic propagation model Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:12:45.054160Z
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 0165daba-f915-4ac7-8bc2-7a46e9c3c70e · outbound
This paper cites Applied partial differential equations with Fourier series and boundary value problems.
A three-dimensional energy flux acoustic propagation model Applied partial differential equations with Fourier series and boundary value problems
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.040854Z
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 d88d775e-97f0-46c4-9387-407d5ad2787c · outbound
This paper cites Methods of theoretical physics.
A three-dimensional energy flux acoustic propagation model Methods of theoretical physics
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.027488Z
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 ba00c11e-ad79-43bb-83fd-8e5e2ed57258 · outbound
This paper cites Fundamentals of ocean acoustics.
A three-dimensional energy flux acoustic propagation model Fundamentals of ocean acoustics
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:45.013909Z
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 da372ef1-e73e-4682-a1f6-902c55fdb9ce · outbound
This paper cites an unresolved cited work.
A three-dimensional energy flux acoustic propagation model Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:12:45.000681Z
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 4aa2866d-6116-414d-aa0b-af90a2d3ff7e · outbound
This paper cites Averaged sound transmission in range-dependent channels.
A three-dimensional energy flux acoustic propagation model Averaged sound transmission in range-dependent channels
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:44.987271Z
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 5e8e9eda-3c0a-4107-83a8-d2c7b2069b61 · outbound
This paper cites Integrating the energy flux method for reverberation with physics-based seabed scattering models: Modeling and inversion.
A three-dimensional energy flux acoustic propagation model Integrating the energy flux method for reverberation with physics-based seabed scattering models: Modeling and inversion
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:44.973238Z
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 75d3f21e-3b9a-4fa3-ba90-6df098e3d0ec · outbound
This paper cites an unresolved cited work.
A three-dimensional energy flux acoustic propagation model Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:12:44.959859Z
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 1b5f1df5-5d22-46e6-b886-6ebbe6946c4b · outbound
This paper cites Acoustics of layered media I: Plane and quasi-plane waves.
A three-dimensional energy flux acoustic propagation model Acoustics of layered media I: Plane and quasi-plane waves
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:44.947193Z
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 126cdc94-15d0-4239-afe3-60579a7af1d3 · outbound
This paper cites an unresolved cited work.
A three-dimensional energy flux acoustic propagation model Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:12:44.934339Z
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 527ca907-6cbc-43c9-9e5d-cf94b84614b0 · outbound
This paper cites Acoustics: an introduction to its physical principles and applications.
A three-dimensional energy flux acoustic propagation model Acoustics: an introduction to its physical principles and applications
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:44.921346Z
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 2b825055-f9e5-4a43-98c2-1f7812c4739d · outbound
This paper cites Propagation in a waveguide with range-dependent seabed properties.
A three-dimensional energy flux acoustic propagation model Propagation in a waveguide with range-dependent seabed properties
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:44.908089Z
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 372627e7-dcfb-43e7-8fab-0b173bce3b6e · outbound
This paper cites The bellhop manual and user’s guide: Preliminary draft.
A three-dimensional energy flux acoustic propagation model The bellhop manual and user’s guide: Preliminary draft
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:44.895354Z
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 c60998af-8f65-484f-ad1b-0308c5d2b019 · outbound
This paper cites an unresolved cited work.
A three-dimensional energy flux acoustic propagation model Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:12:44.881981Z
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 e2efe15f-a4b7-45ba-aa4c-cca848dccb3e · outbound
This paper cites Numerical solutions of range-dependent benchmark problems in ocean acoustics.
A three-dimensional energy flux acoustic propagation model Numerical solutions of range-dependent benchmark problems in ocean acoustics
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:44.867018Z
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 f4083fdf-4682-4a6a-accf-6a8207675d56 · outbound
This paper cites Acoustic propagation in a wedge-shaped ocean with perfectly reflecting bound- aries.
A three-dimensional energy flux acoustic propagation model Acoustic propagation in a wedge-shaped ocean with perfectly reflecting bound- aries
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:44.852111Z
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 60f3e0c7-d140-4571-8016-6b541d874b63 · outbound
This paper cites Acoustic propagation in a wedge-shaped ocean with perfectly reflecting boundaries.
A three-dimensional energy flux acoustic propagation model Acoustic propagation in a wedge-shaped ocean with perfectly reflecting boundaries
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:44.838401Z
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 a0e7f8fe-780b-4923-8679-7ca3c13ccbf5 · outbound
This paper cites Ocean and seabed acoustics: a theory of wave propagation.
A three-dimensional energy flux acoustic propagation model Ocean and seabed acoustics: a theory of wave propagation
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:44.824562Z
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 c01c81b2-8b10-49df-ae5d-19a4e2bba9e8 · outbound
This paper cites A higher-order tangent linear parabolic-equation solution of three-dimensional sound propagation.
A three-dimensional energy flux acoustic propagation model A higher-order tangent linear parabolic-equation solution of three-dimensional sound propagation
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:12:44.809833Z
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.