Paper Citation Record · LEDGER

Sinkhorn Normalization of Diffusion Kernels

As of 7 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2507.06161.

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

pith.paper-citation-record.v1
2507.06161 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:19:49.198085Z

measured 31 of 31 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

31 of 31 outbound references displayed

verified exact1
verified fuzzy19
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e99c8f0e-8c0e-4154-b9a6-53f756d3bd7e · outbound

This paper cites an unresolved cited work.

Sinkhorn Normalization of Diffusion Kernels Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:19:49.479673Z

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 3329416a-d484-426b-8d2b-88b8129a9d02 · outbound

This paper cites Sinkhorn equation.

Sinkhorn Normalization of Diffusion Kernels Sinkhorn equation

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.460769Z

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 c5e9944d-6e1e-4159-aad4-4f4ba538d79d · outbound

This paper cites (2012), standard LDDMM framework favors contraction-expansion dynamics, where area shrinks between source and target, then explodes when extrapolating.

Sinkhorn Normalization of Diffusion Kernels (2012), standard LDDMM framework favors contraction-expansion dynamics, where area shrinks between source and target, then explodes when extrapolating

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.395206Z

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 896f86dd-bdf0-4bc1-9bcb-0c3a76332637 · outbound

This paper cites N., Desbrun, M., and Schr ¨oder, P.

Sinkhorn Normalization of Diffusion Kernels N., Desbrun, M., and Schr ¨oder, P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.537060Z

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 ea84b67c-4fa0-4a3a-a99d-8644703b1e0a · outbound

This paper cites We deliberately choose coarse point cloud and Gaussian mixture representations, which allow us to test the robustness of our approach.

Sinkhorn Normalization of Diffusion Kernels We deliberately choose coarse point cloud and Gaussian mixture representations, which allow us to test the robustness of our approach

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.413250Z

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 74c82cb1-4fac-41f7-a57d-bd76dabd0776 · outbound

This paper cites and L ¨ahner, Z.

Sinkhorn Normalization of Diffusion Kernels and L ¨ahner, Z

Reference 13

Resolution: verified exact; raw_fallback, observed 2026-08-06T19:19:49.315426Z

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 8389e0c7-f9ee-4a05-b5e5-bd3d3ef0b828 · outbound

This paper cites symmetric.

Sinkhorn Normalization of Diffusion Kernels symmetric

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.470160Z

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 486e29c7-01c6-485e-8b69-a7f4cb284053 · outbound

This paper cites This equivalence explains the fast convergence in 5 to 10 iterations we observe in practice, which was studied in (Knight et al., 2014).

Sinkhorn Normalization of Diffusion Kernels This equivalence explains the fast convergence in 5 to 10 iterations we observe in practice, which was studied in (Knight et al., 2014)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.452707Z

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 ac286c30-4a54-4376-85ba-35df789282e9 · outbound

This paper cites an unresolved cited work.

Sinkhorn Normalization of Diffusion Kernels Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:19:49.444009Z

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 86e3e76b-3063-4db9-a5f1-f612ede91af1 · outbound

This paper cites an unresolved cited work.

Sinkhorn Normalization of Diffusion Kernels Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:19:49.434582Z

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 50bd7c2b-62af-451a-a7ad-0587e6da9cb4 · outbound

This paper cites an unresolved cited work.

Sinkhorn Normalization of Diffusion Kernels Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:19:49.424248Z

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 0b038e81-d269-4aa1-9c98-9e7a10df0a59 · outbound

This paper cites stragglers.

Sinkhorn Normalization of Diffusion Kernels stragglers

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.403583Z

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 62762658-89c2-4f3c-a53f-f50ea7e60cc7 · outbound

This paper cites In DiffusionNet, typical values are C= 256 , P= 1.

Sinkhorn Normalization of Diffusion Kernels In DiffusionNet, typical values are C= 256 , P= 1

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.384848Z

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 fb831ee2-9157-4fd4-a164-e668eeed8185 · outbound

This paper cites Raw 3D coordinates ( xyz) are also used in some settings.

Sinkhorn Normalization of Diffusion Kernels Raw 3D coordinates ( xyz) are also used in some settings

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.374968Z

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 9c02e458-408d-4fc5-b551-1da99f22ca24 · outbound

This paper cites When working with point clouds, spectral descriptors like WKS (Aubry et al.,.

Sinkhorn Normalization of Diffusion Kernels When working with point clouds, spectral descriptors like WKS (Aubry et al.,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.365438Z

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 dfd1c498-5515-406b-9ae7-5cd2f2cba776 · outbound

This paper cites This ensures consistent inputs across surface and point-based variants.

Sinkhorn Normalization of Diffusion Kernels This ensures consistent inputs across surface and point-based variants

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.355684Z

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 8d68dda5-b888-4a61-8fbd-ac41ade92d9d · outbound

This paper cites We follow the standard train/test splits used in prior baselines (Donati et al., 2020; Sharp et al., 2022; Cao et al., 2023).

Sinkhorn Normalization of Diffusion Kernels We follow the standard train/test splits used in prior baselines (Donati et al., 2020; Sharp et al., 2022; Cao et al., 2023)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.345241Z

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 428ff6d3-2b0a-4c2a-b812-6bb098247b3b · outbound

This paper cites an unresolved cited work.

Sinkhorn Normalization of Diffusion Kernels Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:19:49.335157Z

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 dd9ced01-30f0-46ef-8b5f-19af9f724676 · outbound

This paper cites Laplacian Mesh Processing.

Sinkhorn Normalization of Diffusion Kernels Laplacian Mesh Processing

Reference 1967

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.517551Z

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 d7af7e41-e9b9-4bc7-ba7c-5b7786cbda88 · outbound

This paper cites an unresolved cited work.

Sinkhorn Normalization of Diffusion Kernels Unresolved cited work

Reference 1984

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:19:49.489114Z

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 18bbc00c-0946-471b-9bea-462cb0bc4d30 · outbound

This paper cites TIDE: Time Derivative Diffusion for Deep Learning on Graphs.

Sinkhorn Normalization of Diffusion Kernels TIDE: Time Derivative Diffusion for Deep Learning on Graphs

Reference 2005

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.569073Z

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 681b2074-ba88-47b8-b17c-d102bea27827 · outbound

This paper cites Discrete Laplace operators: No free lunch.

Sinkhorn Normalization of Diffusion Kernels Discrete Laplace operators: No free lunch

Reference 2007

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.508293Z

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 267b6a77-0c3b-4c8d-a75e-689e4f62e8ea · outbound

This paper cites Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges.

Sinkhorn Normalization of Diffusion Kernels Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Reference 2010

Resolution: unresolved; no resolver link, observed 2026-08-06T19:19:49.127763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51afc19d-0232-4b86-bf99-2cdf0d5073ed · outbound

This paper cites Marcus, D.

Sinkhorn Normalization of Diffusion Kernels Marcus, D

Reference 2011

Resolution: unresolved; no resolver link, observed 2026-08-06T19:19:49.139141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b310dd41-ba4e-405e-bd44-f2101b5e1edd · outbound

This paper cites an unresolved cited work.

Sinkhorn Normalization of Diffusion Kernels Unresolved cited work

Reference 2014

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:19:49.561152Z

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 ad4de606-9a47-4766-ac1c-922cc5f01812 · outbound

This paper cites ISBN 978-1-5386-0457-1.

Sinkhorn Normalization of Diffusion Kernels ISBN 978-1-5386-0457-1

Reference 2017

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.552431Z

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 a6b706a4-9dd5-41b4-900f-b0acc2f23d0e · outbound

This paper cites Pinkall, U.

Sinkhorn Normalization of Diffusion Kernels Pinkall, U

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-06T19:19:49.141879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2166ee19-63b5-46c0-9ecc-19fad0fecc2e · outbound

This paper cites von Luxburg, U.

Sinkhorn Normalization of Diffusion Kernels von Luxburg, U

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-06T19:19:49.146718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f2b73f8-bb31-49f5-b400-9eae3c8ab1d4 · outbound

This paper cites Laplace-Beltrami Eigenfunctions Towards an Al- gorithm That ”Understands” Geometry.

Sinkhorn Normalization of Diffusion Kernels Laplace-Beltrami Eigenfunctions Towards an Al- gorithm That ”Understands” Geometry

Reference 2022

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.527570Z

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 85fa26a3-dc3c-44ad-8cf2-fa1582064af9 · outbound

This paper cites Synchronous Diffusion for Unsupervised Smooth Non-rigid 3D Shape Match- ing.

Sinkhorn Normalization of Diffusion Kernels Synchronous Diffusion for Unsupervised Smooth Non-rigid 3D Shape Match- ing

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.544852Z

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 e64ec60e-85c3-4452-ad6b-866eae0b7c70 · outbound

This paper cites off-diagonal.

Sinkhorn Normalization of Diffusion Kernels off-diagonal

Reference 2025

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:19:49.498304Z

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.