Paper Citation Record · LEDGER

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images

As of 8 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 2 inbound Pith citation observations for arXiv:2507.01171.

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

pith.paper-citation-record.v1
2507.01171 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

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measured 54 of 54 standing notices

One-hop event checks from named stored sources.

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T06:32:59.592898Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-02T22:37:25.629018Z

Reference resolution

52 of 52 outbound references displayed

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External citation measurements

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Outbound references

Observation 14159253-991b-4502-8da4-c3551e52c3b0 · outbound

This paper cites An exact graph edit distance algorithm for solving pattern recognition problems.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images An exact graph edit distance algorithm for solving pattern recognition problems

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.625342Z

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Observation 43f14739-12f5-4b32-9098-16103737b836 · outbound

This paper cites Persistence images: A stable vector representation of persistent homology.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Persistence images: A stable vector representation of persistent homology

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.614520Z

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Observation ee82a324-1036-4554-ad72-bfe2944927fa · outbound

This paper cites Extreme elevation on a 2-manifold.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Extreme elevation on a 2-manifold

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.604794Z

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Observation f40290aa-5afa-4fdf-b00b-81b24aa8365e · outbound

This paper cites Any Graph is a Mapper Graph.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Any Graph is a Mapper Graph

Reference 4

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Observation 9b600cd2-7c1f-48d8-abfd-ace5e4ef3722 · outbound

This paper cites Measuring distance between reeb graphs.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Measuring distance between reeb graphs

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.593910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 420eda59-adbc-4e51-a48b-5b8e1cecffc2 · outbound

This paper cites The Reeb graph edit distance is universal.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images The Reeb graph edit distance is universal

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.583258Z

Source-reported events for the cited work

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Observation 30e104de-9eb4-4bf8-b0a9-f8a44dc55fa7 · outbound

This paper cites Stability of higher-dimensional interval decomposable persistence modules.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Stability of higher-dimensional interval decomposable persistence modules

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:07:42.981851Z

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Observation a4d4b5e8-ce59-4368-9fb7-236b1dc2c12b · outbound

This paper cites Reeb Graph Metrics from the Ground Up.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Reeb Graph Metrics from the Ground Up

Reference 8

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Source-reported events for the cited work

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Observation de0ad933-6ea2-429d-aa8a-0ba1735ac260 · outbound

This paper cites A Course in Metric Geometry , volume 33 of Graduate Studies in Mathematics.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images A Course in Metric Geometry , volume 33 of Graduate Studies in Mathematics

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.573558Z

Source-reported events for the cited work

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Observation 16387ee1-c17a-4a2e-9841-69098c5b74ba · outbound

This paper cites Extending persistence using Poincar´ e and Lefschetz duality.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Extending persistence using Poincar´ e and Lefschetz duality

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.564352Z

Source-reported events for the cited work

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Observation 36adf399-4fd5-4db3-8082-61670b358a15 · outbound

This paper cites Topologically attributed graphs for shape discrimination.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Topologically attributed graphs for shape discrimination

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.554961Z

Source-reported events for the cited work

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Observation 8e887545-9117-4192-bb3d-3d7c70f88a75 · outbound

This paper cites Stability and approximations for decorated Reeb spaces.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Stability and approximations for decorated Reeb spaces

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.545493Z

Source-reported events for the cited work

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Observation 2b10f8b9-c88a-4e13-b60d-cb4f41ac7b45 · outbound

This paper cites Categorified Reeb graphs.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Categorified Reeb graphs

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.535539Z

Source-reported events for the cited work

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Observation b8c2187c-b36e-47c2-8239-1cad5bd2bd62 · outbound

This paper cites Dey and Yusu Wang.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Dey and Yusu Wang

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.525174Z

Source-reported events for the cited work

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Observation 23d11a56-8691-451c-9ce9-4166f55d0988 · outbound

This paper cites The edit distance for Reeb graphs of surfaces.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images The edit distance for Reeb graphs of surfaces

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.513857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 290430bc-51b3-4e9b-be62-d38b5457a572 · outbound

This paper cites Complexity fusion for indexing Reeb digraphs.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Complexity fusion for indexing Reeb digraphs

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.504243Z

Source-reported events for the cited work

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Observation ad4cfe32-a540-46a7-9fc5-09d8f398f98e · outbound

This paper cites Pot: Python optimal transport.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Pot: Python optimal transport

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.493731Z

Source-reported events for the cited work

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Observation d16c6f36-3556-4844-ae59-fc16c2a831fd · outbound

This paper cites Data skeletonization via Reeb graphs.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Data skeletonization via Reeb graphs

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.482823Z

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Observation 7b32b977-10bf-4339-b0f1-2f14a56793b3 · outbound

This paper cites Shrec’14 track: Shape retrieval of non-rigid 3d human models, 2014.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Shrec’14 track: Shape retrieval of non-rigid 3d human models, 2014

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.472379Z

Source-reported events for the cited work

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Observation e0962296-e82e-4f61-a8dc-cbe3ee42358f · outbound

This paper cites Exploring network structure, dynamics, and function using networkx.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Exploring network structure, dynamics, and function using networkx

Reference 20

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Observation c8263e37-b0c7-4300-bd80-a592c10af33e · outbound

This paper cites Topology match- ing for fully automatic similarity estimation of 3d shapes.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Topology match- ing for fully automatic similarity estimation of 3d shapes

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.455110Z

Source-reported events for the cited work

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Observation 02b0fdaa-6fa1-4ed5-9114-4eab3ba8cb8d · outbound

This paper cites Scalable optimal transport methods in machine learning: A contemporary survey.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Scalable optimal transport methods in machine learning: A contemporary survey

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.443295Z

Source-reported events for the cited work

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Observation 68fa3e7a-fc49-4e9d-8155-843e067ca9e1 · outbound

This paper cites Shapevis: High- dimensional data visualization at scale.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Shapevis: High- dimensional data visualization at scale

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.432433Z

Source-reported events for the cited work

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Observation b74eed9b-b12e-4cb8-9699-b5435dddf35b · outbound

This paper cites Comparing Morse complexes using optimal transport: An experimental study.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Comparing Morse complexes using optimal transport: An experimental study

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.420596Z

Source-reported events for the cited work

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Observation 5f93f855-9959-4045-b044-e5297317b869 · outbound

This paper cites Flexible and Probabilistic Topology Tracking with Partial Optimal Transport.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Flexible and Probabilistic Topology Tracking with Partial Optimal Transport

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:07:42.855474Z

Source-reported events for the cited work

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Observation f2463f6e-a728-43eb-94a5-235a4b6e94fa · outbound

This paper cites The gudhi library: Simplicial complexes and persistent homology.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images The gudhi library: Simplicial complexes and persistent homology

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.410725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0a655e4f-ecae-4578-8f88-dd8d86e0bedf · outbound

This paper cites Gromov–Wasserstein distances and the metric approach to object matching.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Gromov–Wasserstein distances and the metric approach to object matching

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.401959Z

Source-reported events for the cited work

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Observation a7e77b32-9f31-444e-8bbc-aba0c051cb3b · outbound

This paper cites Morse Theory.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Morse Theory

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.392677Z

Source-reported events for the cited work

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Observation b5526636-a664-4ccb-a9bd-612c450a7b79 · outbound

This paper cites Recent advances in optimal transport for machine learning.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Recent advances in optimal transport for machine learning

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.383735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8cfdf860-7b51-42e4-8ea6-c3c7edc2146e · outbound

This paper cites Persistence theory: from quiver representations to data analysis , volume 209 of Mathematical Surveys and Monographs.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Persistence theory: from quiver representations to data analysis , volume 209 of Mathematical Surveys and Monographs

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.374160Z

Source-reported events for the cited work

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Observation ae40dda7-6a3e-4678-baf5-1dc76a735779 · outbound

This paper cites Computational optimal transport: With applications to data science.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Computational optimal transport: With applications to data science

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.364652Z

Source-reported events for the cited work

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Observation 5b6e2814-9dc5-4522-9949-c7ee854f7d39 · outbound

This paper cites Topological shape matching using multi- dimensional reeb graphs.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Topological shape matching using multi- dimensional reeb graphs

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.354437Z

Source-reported events for the cited work

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Observation ebeb19fb-9644-437c-955b-a18908b094e6 · outbound

This paper cites The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.345701Z

Source-reported events for the cited work

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Observation 40587168-f0d3-4439-914a-fd345efe3002 · outbound

This paper cites Topological methods for the analysis of high dimensional data sets and 3d object recognition.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Topological methods for the analysis of high dimensional data sets and 3d object recognition

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.335865Z

Source-reported events for the cited work

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Observation 243dd2d7-61c1-416c-9a53-540e63b71567 · outbound

This paper cites Wasserstein Stability for Persistence Diagrams.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Wasserstein Stability for Persistence Diagrams

Reference 35

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Observation 7bbaff2b-05e2-4b6b-93ad-d72b58c877f3 · outbound

This paper cites Entropic metric alignment for correspondence problems.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Entropic metric alignment for correspondence problems

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.326012Z

Source-reported events for the cited work

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Observation 05e754d0-498c-47f0-b79a-79474530e32c · outbound

This paper cites Mesh data from deformation transfer for triangle meshes, 2004.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Mesh data from deformation transfer for triangle meshes, 2004

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.317030Z

Source-reported events for the cited work

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Observation 24765071-9015-4a4a-9bde-6aedb2f644a2 · outbound

This paper cites 3d mesh skeleton extraction using topological and geometrical analyses.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images 3d mesh skeleton extraction using topological and geometrical analyses

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.307693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1a631b1b-75f9-4dc9-9a81-1563f555e5d3 · outbound

This paper cites Ripser.py: A lean persistent homology library for python.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Ripser.py: A lean persistent homology library for python

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T21:07:41.608081Z

Source-reported events for the cited work

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Observation bd22460f-0cbf-40d5-b95b-fdfc0eb36111 · outbound

This paper cites Measure Theoretic Reeb Graphs and Reeb Spaces.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Measure Theoretic Reeb Graphs and Reeb Spaces

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:07:42.731522Z

Source-reported events for the cited work

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Observation b4199201-92e8-4ded-809f-658c3b1376b9 · outbound

This paper cites 3d shapenets: A deep representation for volumetric shapes.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images 3d shapenets: A deep representation for volumetric shapes

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.298578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bdfa6065-4f8c-442a-a357-6a410c57a66e · outbound

This paper cites Gromov-wasserstein learning for graph matching and node embedding.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Gromov-wasserstein learning for graph matching and node embedding

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.289885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 29e5a564-ce5e-4774-a108-85414c67489c · outbound

This paper cites Scalar field comparison with topological descriptors: Properties and applications for scientific visualization.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Scalar field comparison with topological descriptors: Properties and applications for scientific visualization

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.280719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 33540c25-0266-44a5-aaf2-f7c9dec44e43 · outbound

This paper cites Since abso- lute values are inherently non-negative, their supremum over any path is also non-negative.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Since abso- lute values are inherently non-negative, their supremum over any path is also non-negative

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.270864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0058d5ac-9584-4211-9f39-afe06f7451f0 · outbound

This paper cites For this path, ¯f (γ(t)) = ¯f (x) for all t, so sup t∈[0,1] | ¯f (x) − ¯f (γ(t))| = 0.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images For this path, ¯f (γ(t)) = ¯f (x) for all t, so sup t∈[0,1] | ¯f (x) − ¯f (γ(t))| = 0

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.260946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 00c110a3-05db-4cf8-992d-73bd967e20d0 · outbound

This paper cites Hence, dRf is symmetric.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Hence, dRf is symmetric

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.252074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3c03c7a4-324c-4c5b-aef1-e6283eb21508 · outbound

This paper cites The critical preliminary step is to establish the triangle inequality for the (potentially asymmetric) Reeb radius ρf itself: ρf (x, z) ≤ ρf (x, y) + ρf (y, z).

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images The critical preliminary step is to establish the triangle inequality for the (potentially asymmetric) Reeb radius ρf itself: ρf (x, z) ≤ ρf (x, y) + ρf (y, z)

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.242796Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 91f73e7d-0e54-4414-9bec-3e7c63ab27af · outbound

This paper cites 34 Next, we consider the normalization factorsZf = P u∈V ′ Rf contribf (u) and Zg = P u∈V ′ Rg contribg(u).

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images 34 Next, we consider the normalization factorsZf = P u∈V ′ Rf contribf (u) and Zg = P u∈V ′ Rg contribg(u)

Reference 48

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T21:07:43.232808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3751e5df-165a-4476-9a32-42b4a4381aae · outbound

This paper cites We denote this upper bound as δGH := (L + 1)∥f − g∥∞ + ϵ.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images We denote this upper bound as δGH := (L + 1)∥f − g∥∞ + ϵ

Reference 49

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T21:07:43.223691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fa5bb6aa-9e93-43ac-bafd-5136886cf91f · outbound

This paper cites We denote this upper bound as ηT V:= M ∥f − g∥∞.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images We denote this upper bound as ηT V:= M ∥f − g∥∞

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.215279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b55c41f3-d12d-48fe-a08b-7407449faa6e · outbound

This paper cites Standard results in the theory of metric measure spaces (e.g., arguments found in M´ emoli [27]) provide a bound of the form: dGP(R∗ f , R∗ g) ≤ max(δGH , ηT V).

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Standard results in the theory of metric measure spaces (e.g., arguments found in M´ emoli [27]) provide a bound of the form: dGP(R∗ f , R∗ g) ≤ max(δGH , ηT V)

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:43.196007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 310c4f35-c063-4ba7-a461-4fd747507e79 · outbound

This paper cites an unresolved cited work.

A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:43.123676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 04ce375a-a8b1-46be-9846-f5ca9c746ee9 · inbound

MS-COOT: Comparing Morse-Smale Complexes with Co-Optimal Transport cites this paper.

MS-COOT: Comparing Morse-Smale Complexes with Co-Optimal Transport A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images

Reference 9

Resolution: malformed identifier; arxiv_id, observed 2026-07-02T22:37:25.631014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5d440ebe-b0f5-495a-92e8-1147f80502e5 · inbound

TopoAgent: An Agentic Framework for Automated Topology Learning in Medical Imaging cites this paper.

TopoAgent: An Agentic Framework for Automated Topology Learning in Medical Imaging A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-06-30T06:34:18.676411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.