Pith. sign in

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 2026-08-09T06:31:02.800959+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 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T12:16:14.913508Z

Reference resolution

27 of 27 outbound references displayed

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

External citation measurements

No source-named external measurement is stored.

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:38.436709Z digest=sha256:1204e2395eb5b7b6f2e21b73307f66689b28a5c79eec12f0f8bf3148bcc0d22a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:38.542378Z digest=sha256:516a34e1ad288ba5d315fdae3d92bbf3eb3ad4f3b27993f8a5bd3a2cf1a03bde

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:38.759236Z digest=sha256:0fce3517b28e316f5361366847c4609ff83c76adf035ddcff8d7d56de6f19189

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:38.958004Z digest=sha256:ee36e34e3e24a0d504958b350d35cea66a8d324dc40a3dae1436d360207abe3f

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.090079Z digest=sha256:3c97a4393b5b293e99545bbfeb72d74c3ccddb2b8f351a150a409bee2d5237a7

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.176225Z digest=sha256:a0fd340f28a5a43213bc062829c20d0f2590a192eb4492ebb9bb20e3d6a2f616

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.320027Z digest=sha256:c6794cd96650033d987d5b37e23a0664dbe857ee50ab9d707da226e92e4fa996

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.437400Z digest=sha256:a35e12848ee35f9bdd2ca11e98484de99be7b5991d41d0c58276143e5053d85a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.516803Z digest=sha256:dc657d8f3b072116d03425f218f99c0d592b1346297f5566b2a8b10d14a48d1c

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.598923Z digest=sha256:879568b52d09665417608659cb299e26bfa87932e75f010ccbc1dea3752a9381

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.722166Z digest=sha256:8b4c64ef72d9621301699067d7adfff909840eae90cbef2c99ec12c752f943db

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:39.846643Z digest=sha256:083445b42bfff5c6bb32e0fd6a3691fac21abeef2b9f2f72a12521580e4e0425

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.011314Z digest=sha256:d3d54d3297786582f6a68ebf50fe4e1b669211335030821baf575ab26ebc0e3e

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.133008Z digest=sha256:a41ab841393f753173f73f04197567127a99780cda2dfb03890d82b6c3665920

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.247971Z digest=sha256:92d53e4ce216d609e91c74cc1aafd6e54025c93a28c62e5f0385c91419ccb746

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.377950Z digest=sha256:ada40415fa97be874754283ffe0d747f4edfda3c29a5bea0eff72bdc6700b638

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.506049Z digest=sha256:0dacfdc77319e770093272f7558582f6a5248d629647ad1d5a84dccc48c2ef07

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.621565Z digest=sha256:1c8049f4ce22436411ddb798404283487c8e1bd701b430dd7d5159ff05e509e8

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:40.733109Z digest=sha256:456527bf505b321466479c71e7bea4aa7b0db2070f09867ca07fa101c80641d1

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:41.067699Z digest=sha256:7f5ba143643e1234921c10ecc8b2b8a564eb94055c0dfe0c630eb0c307d766c9

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:41.306149Z digest=sha256:f4e7c8ff36de35c769acf1f566cda7c9970417e26c0b4762167075e5e6b2e132

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:41.421720Z digest=sha256:407b428ae8bc59be0f408ea01f46f0f2e5bbbfa2973de98757475e1b18b120d1

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:41.492069Z digest=sha256:46184e7a0ff4683f6e5f369719270e742f4f8b55ad2ffeae2bb42f07108587ed

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:38:41.599945Z digest=sha256:bfad9ed245bc99cd64f9b63ce4cb5aba5544b3072bd6d27fde244dc23afc9cab

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T10:29:27.436897Z digest=sha256:6d61a5b033af922add0baa3be858642ddfe5e25446613208ef9ec8c1d8c60faa