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Paper Citation Record · LEDGER

Robust Alignment via Partial Gromov-Wasserstein Distances

As of 10 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2506.21507.

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

pith.paper-citation-record.v1
2506.21507 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:38:41.599945Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:29:27.436897Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T05:30:23.456663Z

Reference resolution

27 of 27 outbound references displayed

  • verified exact5
  • verified fuzzy19
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
pith, observed 2026-08-10T05:30:23.456663Z

Outbound references

Observation c2f8df00-c010-401b-b5a9-4348c755274a · outbound

This paper cites Gromov-- W asserstein distances and the metric approach to object matching.

Robust Alignment via Partial Gromov-Wasserstein Distances Gromov-- W asserstein distances and the metric approach to object matching

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:47.630409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:38.436709Z digest=sha256:bd4cc9dd680ad7e8329486de82cfe55105381dc6ce059a144572e146ef6644e2

Observation 2a12d50d-b7f6-47b9-9fa6-caa5026d32cc · outbound

This paper cites MREC: a fast and versatile framework for aligning and matching point clouds with applications to single cell molecular data.

Robust Alignment via Partial Gromov-Wasserstein Distances MREC: a fast and versatile framework for aligning and matching point clouds with applications to single cell molecular data

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:38:43.041270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:38.542378Z digest=sha256:83c67536f30cc1f9eb7d13741f1279a422050828471066fec9b3e2cccdea9468

Observation ab26a2d8-ed20-4f12-ba59-afd3062bef27 · outbound

This paper cites Manifold alignment for heterogeneous single-cell multi-omics data integration using pamona.

Robust Alignment via Partial Gromov-Wasserstein Distances Manifold alignment for heterogeneous single-cell multi-omics data integration using pamona

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:47.501356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:38.759236Z digest=sha256:b6b86aecf793a0582c670d305365470972e2ff9cebfa6edc651a5460f299a5b7

Observation fc44f753-9b5f-49e2-a2e6-10b1ab6272e0 · outbound

This paper cites Scot: single-cell multi-omics alignment with optimal transport.

Robust Alignment via Partial Gromov-Wasserstein Distances Scot: single-cell multi-omics alignment with optimal transport

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:47.325278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:38.958004Z digest=sha256:5016831dff3726ab9c2137a8e91fa7184010fd5bfb799acf7106861fc2b5094d

Observation e237fe25-fbe3-47b4-96f1-21cbc5d63116 · outbound

This paper cites Gromov-Wasserstein Alignment of Word Embedding Spaces.

Robust Alignment via Partial Gromov-Wasserstein Distances Gromov-Wasserstein Alignment of Word Embedding Spaces

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:38:42.610834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.090079Z digest=sha256:f5dabab8c80bab7af590ef8ba6129aaee06c358c66595dcfe5918eae14359816

Observation 368d3890-7894-4a36-a57f-f2d5b0e5d090 · outbound

This paper cites Computing the gromov- W asserstein distance between two surface meshes using optimal transport.

Robust Alignment via Partial Gromov-Wasserstein Distances Computing the gromov- W asserstein distance between two surface meshes using optimal transport

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:47.153769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.176225Z digest=sha256:b6be9443b6ec54bacc419c4e19832d265dd385c3eb8167d595547651c8f7435c

Observation fcdf3a3d-906d-4984-872c-63dbfd7256c9 · outbound

This paper cites Spectral gromov- W asserstein distances for shape matching.

Robust Alignment via Partial Gromov-Wasserstein Distances Spectral gromov- W asserstein distances for shape matching

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:47.023208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.320027Z digest=sha256:9bf2a3fac2d291ae4506d19ac687a79246ea7c619c1e4ea88000ba7d5143c2da

Observation 84e57644-4df7-4fa3-b94f-f848359a7ffa · outbound

This paper cites Graph optimal transport for cross-domain alignment.

Robust Alignment via Partial Gromov-Wasserstein Distances Graph optimal transport for cross-domain alignment

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:46.827182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.437400Z digest=sha256:a898647f7e8a05faab22eb162e9382981c0eb291f9be37e2e79f2cea3f63115a

Observation 7f8e4faf-fab0-4b15-916b-d895152957a2 · outbound

This paper cites Got: an optimal transport framework for graph comparison.

Robust Alignment via Partial Gromov-Wasserstein Distances Got: an optimal transport framework for graph comparison

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:46.600004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.516803Z digest=sha256:a6cf4759fffc7af1103f134d1e4eb0057fe39fdf9d5a0c6d6c93e1355156109b

Observation 0e845a0c-4d29-4d86-a421-7cdb1a7eb533 · outbound

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

Robust Alignment via Partial Gromov-Wasserstein Distances Gromov- W asserstein learning for graph matching and node embedding

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:46.371166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.598923Z digest=sha256:da4ab1d3e693cde53e767bec87686726fe858d6a0ddd65f6ed80c3b24990c91c

Observation 79e6f969-9ede-4c37-bc94-20d048e288bc · outbound

This paper cites Scalable gromov- W asserstein learning for graph partitioning and matching.

Robust Alignment via Partial Gromov-Wasserstein Distances Scalable gromov- W asserstein learning for graph partitioning and matching

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:46.193847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.722166Z digest=sha256:e0298ef4ba152a0a89e44de83325056467004278cad9db3a051208a0e4c8697c

Observation 44f6426a-1df9-4209-9cea-8b5f588550a0 · outbound

This paper cites The unbalanced gromov W asserstein distance: Conic formulation and relaxation.

Robust Alignment via Partial Gromov-Wasserstein Distances The unbalanced gromov W asserstein distance: Conic formulation and relaxation

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:45.970153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.846643Z digest=sha256:d7ea0ebbd3d8afe97562de2a8bc9667dc2a7945a4878eab73d61e7059ccad89f

Observation f6aba0f7-805b-465a-bb37-186dcffc1dab · outbound

This paper cites Semi-supervised optimal transport for heterogeneous domain adaptation.

Robust Alignment via Partial Gromov-Wasserstein Distances Semi-supervised optimal transport for heterogeneous domain adaptation

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:45.727233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.011314Z digest=sha256:37b326d915f8d541c59fbb833d117b4d40165ec39b5f357df57a6694ff2a8cc2

Observation c7e17edd-cafd-4fc2-83f4-787c00f30eba · outbound

This paper cites Learning generative models across incomparable spaces.

Robust Alignment via Partial Gromov-Wasserstein Distances Learning generative models across incomparable spaces

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:45.440800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.133008Z digest=sha256:eea44daa3e2af4ebb02238c34eafc6edbc8d042b3bf923dac30a628490cd4239

Observation a64e2a6d-55e7-494e-ab10-372d0f5ebad0 · outbound

This paper cites Outlier-robust gromov- W asserstein for graph data.

Robust Alignment via Partial Gromov-Wasserstein Distances Outlier-robust gromov- W asserstein for graph data

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:45.250207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.247971Z digest=sha256:efe5d1f4a4cfdf6641f119b685941398d39acbac4e7c2fd829c893ac3ba0b0d4

Observation 07013970-868c-432a-b393-f3bee97fce94 · outbound

This paper cites Partial Gromov-Wasserstein Metric.

Robust Alignment via Partial Gromov-Wasserstein Distances Partial Gromov-Wasserstein Metric

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:38:42.259590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.377950Z digest=sha256:e906b95e05b4584853bd29305467b2a2605e4a371ae9c74e032ea07699c284a1

Observation 8d8aa0b0-df4f-4489-bb18-8d67e982738b · outbound

This paper cites Metric properties of partial and robust Gromov-Wasserstein distances.

Robust Alignment via Partial Gromov-Wasserstein Distances Metric properties of partial and robust Gromov-Wasserstein distances

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:38:42.070270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.506049Z digest=sha256:8da170766a10edcf8f68ce6563aab2bfd3c74711d155822ab6c1cff5e284b2e3

Observation d3616642-7e9a-47d3-94d8-b02c377e2a2e · outbound

This paper cites Partial gromov- W asserstein with applications on positive-unlabeled learning.

Robust Alignment via Partial Gromov-Wasserstein Distances Partial gromov- W asserstein with applications on positive-unlabeled learning

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:45.028969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.621565Z digest=sha256:fc9fc65ae106f9a06dc364e95ecac3166f0ef89150b2f62e1b1d32e3af0bc259

Observation a26ce83f-7740-46c7-b39f-56961b05b888 · outbound

This paper cites From One to All: Learning to Match Heterogeneous and Partially Overlapped Graphs.

Robust Alignment via Partial Gromov-Wasserstein Distances From One to All: Learning to Match Heterogeneous and Partially Overlapped Graphs

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:38:41.854569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.733109Z digest=sha256:eb821f715275a42d2a16beaf832b29bc2079b09bcfd32959d5451cb76d77850e

Observation 68b90203-d8f6-4374-aa7f-668d411011ab · outbound

This paper cites Robust optimal transport with applications in generative modeling and domain adaptation.

Robust Alignment via Partial Gromov-Wasserstein Distances Robust optimal transport with applications in generative modeling and domain adaptation

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T22:38:40.845042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:38:40.845042Z digest=sha256:0bb8006052cb86c43d9ed1548883f0ba749fe383d304c0097df207ed38f939c6

Observation 76c2f087-711e-4f57-906f-64ab41a8a801 · outbound

This paper cites Outlier-robust optimal transport.

Robust Alignment via Partial Gromov-Wasserstein Distances Outlier-robust optimal transport

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-06T22:38:40.987082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:38:40.987082Z digest=sha256:81760e0760b73b5cfaa620e091f0afba079a40acd741edcc3a885958d837c1b1

Observation 54bc9b8b-f050-4b7d-a554-3204193ff7e5 · outbound

This paper cites Outlier-robust optimal transport: Duality, structure, and statistical analysis.

Robust Alignment via Partial Gromov-Wasserstein Distances Outlier-robust optimal transport: Duality, structure, and statistical analysis

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:44.728582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:41.067699Z digest=sha256:ea4703c00fdd3b99a40d82ad6b675d1ce791337b31e44b4632450d6ad078bf20

Observation c68ff305-6196-4478-886d-8f73a26ca171 · outbound

This paper cites Robust Estimation under the Wasserstein Distance.

Robust Alignment via Partial Gromov-Wasserstein Distances Robust Estimation under the Wasserstein Distance

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-06T22:38:41.198752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:38:41.198752Z digest=sha256:c246e173f2f3dbe1ed7d37620b6377fdedcaedd6477da8beaa523bf71f57df1b

Observation ae57b88f-5af4-4431-8342-368f2e69efb6 · outbound

This paper cites automatic.

Robust Alignment via Partial Gromov-Wasserstein Distances automatic

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:44.405053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:41.306149Z digest=sha256:0023896cf9bee7967565ddf89d70b739c221241b18ac82a3db04cf577657d0af

Observation 162452d3-85f8-432e-851a-d335087c16a0 · outbound

This paper cites Gromov-- W asserstein distances: Entropic regularization, duality and sample complexity.

Robust Alignment via Partial Gromov-Wasserstein Distances Gromov-- W asserstein distances: Entropic regularization, duality and sample complexity

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:44.070114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:41.421720Z digest=sha256:85a324e98f35bf20d38beca0ffb3abc4d7acb0a5db198621b7614916ab0f14e7

Observation 28959040-714c-4195-8ec2-76cb28e37ad4 · outbound

This paper cites Statistical, robustness, and computational guarantees for sliced W asserstein distances.

Robust Alignment via Partial Gromov-Wasserstein Distances Statistical, robustness, and computational guarantees for sliced W asserstein distances

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:43.702500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:41.492069Z digest=sha256:971a3beea5ba90a57127680f87f34678514ed8a5e8fc80bbfb78bcdbe9b2b4af

Observation 9b2cbba5-ceae-458b-ac9d-0dffce05f360 · outbound

This paper cites On the rate of convergence in W asserstein distance of the empirical measure.

Robust Alignment via Partial Gromov-Wasserstein Distances On the rate of convergence in W asserstein distance of the empirical measure

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:38:43.366693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T22:38:41.599945Z digest=sha256:099ee60d9a39c179bf54a95101ae2683bc091286a4081e28744bc9a537e97cb5

Pith citing papers

Observation a1dbefb7-a047-412c-9da9-85341c04713c · inbound

Gromov-Wasserstein and optimal transport: from assignment problems to probabilistic numeric cites this paper.

Gromov-Wasserstein and optimal transport: from assignment problems to probabilistic numeric Robust Alignment via Partial Gromov-Wasserstein Distances

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:29:28.362465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:29:27.436897Z digest=sha256:38d872c1fc3e28edb82f55880624fcff6267c6763eef33dd46a6df64fb511ca0