Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-27T10:44:06.455827Z
Paper Citation Record · LEDGER
As of 23 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2606.11103.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-27T10:44:06.455827Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T05:07:54.576244Z
A source-named dated measurement, never combined with another source.
Source: cited_works
48 of 48 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 54cc77e6-c614-49ed-bc29-35e364ac548d · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling The Visible Human Project
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a923c165-d432-441a-9639-3a14ab233b5f · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Ultrasound neuromodulation: A review of results, mechanisms and safety
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ea0c8067-612e-488e-9d46-5ca8c6254b3b · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Clinical sound speed measurement in liver and spleen in vivo
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6ce13b2c-5de2-4b90-bdee-76b87d6fbf81 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Modified Szabo's wave equation models for lossy media obeying frequency power law
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e6693551-e525-412e-9883-948b6b56239e · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Non-invasive transcranial ultrasound stimulation for neuromodulation
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d1f61731-d758-4385-80b5-a114e3127d71 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling The acoustic properties of the epidermis and stratum corneum
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d136bca1-bdc5-49e0-875f-a6674f2b99a3 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Dependence of ultrasonic nonlinear parameter BA on fat
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 93b74c87-8bf7-44ae-9d44-362bf3a83b0a · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Implementing the nelder-mead simplex algorithm with adaptive parameters.Comput
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4d44fcb0-2d72-483a-80e7-d197496710ab · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Waves with power-law attenuation
Reference 9
Source-reported events for the cited work
correction dated 2023-03-02. Source: crossref record 10.1007/978-3-030-14927-7_10->10.1007/978-3-030-14927-7:correction, observed 2026-07-11T02:56:22.214379+00:00. This notice travels one citation hop only.
Observation 2a438cc4-9072-4320-b4eb-c49c6fab0f67 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling An iterative method for the computation of nonlinear, wide-angle, pulsed acoustic fields of medical diagnostic transducers
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04cc96d2-3d7c-45bc-a0fa-828adebc9197 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Nonlinear propagation in ultrasonic fields: measurements, modelling and harmonic imaging
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2fab099f-a1a9-47e0-b8e0-c9227ac2fed1 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling An introduction to high intensity focused ultrasound: Systematic review on principles, devices, and clinical applications
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 09cc3013-36e8-4193-af7c-03b6a57f7cd4 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Nonlinear ultrasound simulations including complex frequency dependent attenuation
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6c5d8371-ac74-4dbb-a81f-cf720ed33063 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Transcranial neuromodulation array with imaging aperture for simultaneous multifocus stimulation in nonhuman primates
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 35220572-b96a-4808-b5fc-890e79b516ea · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Modelling power-law ultrasound absorption using a time-fractional, static memory, Fourier pseudo-spectral method
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 29d09f61-2775-45fa-b675-157816f0149f · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Adam: A Method for Stochastic Optimization
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 92464ff9-cafb-4880-8061-c08975c147fa · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling An unsplit convolutional Perfectly Matched Layer improved at grazing incidence for the seismic wave equation.Geophysics, 72, September 2007
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 13a8f36e-f369-4a16-95f6-ebf4c89a9b48 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Speed of sound and shear wave speed for calf soft tissue composition and nonlinearity assessment
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a89b9a00-77b0-4b7e-9201-81d2ff521f50 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling US attenuation imaging for the evaluation and diagnosis of fatty liver disease
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d23e34eb-105c-49ea-9712-914ca9acae8e · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Correlations of sound speed with tissue constituents in normal and diffuse liver disease
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 95f9d5c1-610e-4f0d-bb21-6f155cd6aefa · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 74c3b06f-413c-42d0-a328-4c58566e5b14 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Quantitative Ultrasound in Soft Tissues
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b0545cd6-f420-4324-8fdc-9ecc9edd5c07 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Current state of clinical ultrasound neuromodulation
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 296e2093-43e9-42d9-a8c5-66ce8ebf4d81 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Linking multiple relaxation, power-law attenuation, and fractional wave equations
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8c45e166-ba87-41cf-93fb-c7002666c5b3 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling The design of a focused ultrasound transducer array for the treatment of stroke: a simulation study
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation aaf0a429-cc98-48d6-bac2-964e1f9eb334 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling In-vivo measurements of ultrasound attenuation in normal or diseased liver
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1f8b62d4-04a7-4f67-9d3b-13fb1e41a3e8 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Acoustic propagation in a medium with spatially distributed relaxation processes and a possible explanation of a frequency power law attenuation
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b6cef27c-2389-49da-a642-c9faf28e23d7 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling A heterogeneous nonlinear attenuating full-wave model of ultrasound
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6920d495-84e4-42a3-93e0-1ee2ace81593 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling In: Gomez, S., Hennart, J.-P
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 005b6b90-b909-426c-8eb4-a87a03e61552 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Unresolved cited work
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7bf284f4-0626-4562-b816-9d2757491340 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Measurement and use of acoustic nonlinearity and sound speed to estimate composition of excised livers
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 83c394cd-194e-4faf-8711-8729434dcda9 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling A fullwave model of the nonlinear wave equation with multiple relaxations and relaxing perfectly matched layers for high-order numerical finite-difference solutions
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fc636f9a-81aa-4dc8-ab3b-271ec04f86a6 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling A pseudo-spectral time-domain method for ultrasound wave propagation in soft biological tissue
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 891d9552-606b-412d-9fbb-d7d948203d04 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling The visible human male: a technical report
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2c606b3b-35d9-4169-bce3-edbd365bd16b · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Time domain wave equations for lossy media obeying a frequency power law
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation dfe69858-60ab-428c-ba7a-be57b5bf614b · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Diagnostic ultrasound imaging: Inside out
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6e4eaadf-e280-4d8f-a2ff-9ca22445ffc9 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling A staggered-grid finite-difference scheme optimized in the time–space domain for modeling scalar-wave propagation in geophysical problems
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8139a45-1676-40d5-8922-ee16fdf53c72 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling An efficient finite-difference method with high-order accuracy in both time and space domains for modelling scalar-wave propagation
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 257267f9-bb68-4735-8563-c61d7bef7586 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Clinical use of ultrasound tissue harmonic imaging
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 23ab48da-43ef-4fc2-88f5-81eb2e2638b7 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling E., & Cox, B
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation db5e0a4f-aba5-4a72-8f96-2e78b9c02407 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Modeling power law absorption and dispersion for acoustic propagation using the fractional Laplacian
Reference 41
Source-reported events for the cited work
correction dated 2011-07-20. Source: crossref record 10.1121/1.3592243->10.1121/1.3377056:correction, observed 2026-07-11T03:00:52.470867+00:00. This notice travels one citation hop only.
Observation 22aeaf53-6f6d-4cb6-a6ef-7e02cb6dbd70 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Modeling power law absorption and dispersion in viscoelastic solids using a split -field and the fractional Laplacian
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 151be728-c682-4abb-8186-3e701269a417 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Oliphant, Matt Haberland, Tyler Reddy, David Cournapeau, Evgeni Burovski, Pearu Peterson, Warren Weckesser, Jonathan Bright, St´ efan J
Reference 43
Source-reported events for the cited work
correction dated 2020-03-04. Source: crossref record 10.1038/s41592-020-0772-5->10.1038/s41592-019-0686-2:correction, observed 2026-07-11T03:08:19.430942+00:00. This notice travels one citation hop only.
Observation 9cfbe90f-98ed-42a6-98f3-f6c75fbe6f63 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling On the applicability of Kramers–Krönig relations for ultrasonic attenuation obeying a frequency power law
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 38bdd34a-8ac9-4a0c-9b61-5a0907adc11c · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Review: absorption and dispersion of ultrasound in biological tissue
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f287656a-be96-4d73-9652-6939bb6e7622 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling High Resolution Imaging and Digital Characterization of Skin Pathology By Scanning Acoustic Microscopy
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b8d042a-2648-4929-b3eb-7e39298aed22 · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cb0a4900-2d64-42a6-82de-9077eea0cc8d · outbound
Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling Labeled numerical phantom of abdominal wall for wave-physics based ultrasound imaging: applications to image reconstruction
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 45128475-6d21-4895-9389-ff63d5ce97d8 · inbound
IQ-JEPA: A Joint-Embedding Predictive Architecture with a Hermitian Vision Transformer for Sound Speed and Attenuation Estimation from Ultrasound IQ Data Spatially heterogeneous power-law attenuation with multiple relaxation mechanisms for ultrasound modeling
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.