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Paper Citation Record · LEDGER

Generalized Optimal Transport

As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2507.22422.

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

pith.paper-citation-record.v1
2507.22422 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:53:47.512150Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:11:06.959544Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d3191439-ca46-45b5-989f-1f4e16829bad · outbound

This paper cites Using Experiments to Correct for Selection in Observational Studies.

Generalized Optimal Transport Using Experiments to Correct for Selection in Observational Studies

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T11:53:45.668201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:53:45.668201Z digest=sha256:b712a1b45865f6a0dd3f8208f23428a2da172d1f7a46de22a6fd06bddc29c23a

Observation 2c8343af-b35d-4af9-b5ac-4e7d8c7fadb4 · outbound

This paper cites The conclusion then follows by e.g.

Generalized Optimal Transport The conclusion then follows by e.g

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:53:48.376433Z

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.

source=pdf_text observed=2026-08-06T11:53:47.420720Z digest=sha256:cb251301f8e80a9ff47376a24dc58d25062e9e58b0e84363f1e65b10b7536f4d

Observation 4e817d06-c5ac-4b06-b1e7-341ec78e3075 · outbound

This paper cites an unresolved cited work.

Generalized Optimal Transport Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:53:49.798677Z

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.

source=pdf_text observed=2026-08-06T11:53:46.183453Z digest=sha256:3a896d925929aa116c2595ae5b1afe8ddeb75580d6fc37a185d1aa2b7d835f96

Observation 92ce315c-2c0a-494f-b605-d27a96d401d6 · outbound

This paper cites (2016)), each of the sequences ∫ fndµ±, ∫ fndν±, ∫ fnd(ν +µ)± then converges to a respective element inV.

Generalized Optimal Transport (2016)), each of the sequences ∫ fndµ±, ∫ fndν±, ∫ fnd(ν +µ)± then converges to a respective element inV

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:53:49.787276Z

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.

source=pdf_text observed=2026-08-06T11:53:46.305520Z digest=sha256:287672ec87e9fb7b6b4a5e6322f573b72957e84d2c3138d3feb6c2f70295b538

Observation 8480d676-e746-442b-bd74-865c82a3e818 · outbound

This paper cites Finally, the discussion on page 15 in Hytönen et al.

Generalized Optimal Transport Finally, the discussion on page 15 in Hytönen et al

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:53:49.775321Z

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.

source=pdf_text observed=2026-08-06T11:53:46.444014Z digest=sha256:462c01c2908cc8d7996fd2a50a29adf18a6db3b8685a3871c643c4c96bbd2001

Observation 719f3099-6750-41c3-bac2-bcd588e6438b · outbound

This paper cites 11if µ is a signed measure, define the integral as ∫ fdµ+− ∫ fdµ− 12This equation contains a typo:min should be max, see the rest of the chapter and the enclosing book.

Generalized Optimal Transport 11if µ is a signed measure, define the integral as ∫ fdµ+− ∫ fdµ− 12This equation contains a typo:min should be max, see the rest of the chapter and the enclosing book

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:53:49.762323Z

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.

source=pdf_text observed=2026-08-06T11:53:46.645511Z digest=sha256:d2901146a3925041255a0406faa25d30b5d0d532eadb7c2d60d29e0fbf42b14c

Observation f029792c-44a5-420b-bc48-fa2d35f4cf31 · outbound

This paper cites We have L∞(x,θ ) =⟨c,x⟩ for anyx∈ ΘI(θ).

Generalized Optimal Transport We have L∞(x,θ ) =⟨c,x⟩ for anyx∈ ΘI(θ)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:53:49.601668Z

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.

source=pdf_text observed=2026-08-06T11:53:46.777343Z digest=sha256:69c05f34153b051ae290ba47e8148caffff0a3f3b420368ecba45915718f8ab9

Observation b3e0b39d-09f9-4b17-a20e-c52d67d717e4 · outbound

This paper cites Part ii) follows directly from the definition of∆(·).

Generalized Optimal Transport Part ii) follows directly from the definition of∆(·)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:53:49.274405Z

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.

source=pdf_text observed=2026-08-06T11:53:46.905675Z digest=sha256:4fc1d17886f38497254d7314bfb7d063aca61faa9348e3aa3a8c66deed5e3bf2

Observation 3299296e-64fa-4003-97a0-afd9674139eb · outbound

This paper cites Because the cube is a Lipschitz domain, we can use the Sobolev extension theorem to extendf to ˜f on Rd, with|| ˜f||Ws(Rd)≤C||f||Ws((−1,1)d) for an absolute constantC >0.

Generalized Optimal Transport Because the cube is a Lipschitz domain, we can use the Sobolev extension theorem to extendf to ˜f on Rd, with|| ˜f||Ws(Rd)≤C||f||Ws((−1,1)d) for an absolute constantC >0

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:53:48.950332Z

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.

source=pdf_text observed=2026-08-06T11:53:47.110408Z digest=sha256:31c05c3826d2c4f91f2f1392162de0bfde00c3586b4bc19547a3f62f336c5462

Observation 83839113-1346-461b-a724-9cc3111839ea · outbound

This paper cites an unresolved cited work.

Generalized Optimal Transport Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:53:48.688932Z

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.

source=pdf_text observed=2026-08-06T11:53:47.247242Z digest=sha256:d76a93601f474b19570f851fc9f83e10fd8b0c2a03cf697712016f65e044d3bc

Observation a6668359-7c1e-4f93-87f2-052f3721c6b9 · outbound

This paper cites First, observe that we can treatA as an operatorA :X→L 2(λ).

Generalized Optimal Transport First, observe that we can treatA as an operatorA :X→L 2(λ)

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:53:48.123475Z

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.

source=pdf_text observed=2026-08-06T11:53:47.512150Z digest=sha256:27ac8925ec533f130d63ab63005e1699e376ede09d5b8f3386153e0be9172d8a

Observation 724371e4-f6de-4772-b85e-1608b6aeb67d · outbound

This paper cites A primer on optimal transport for causal inference with observational data.

Generalized Optimal Transport A primer on optimal transport for causal inference with observational data

Reference 173

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T11:53:47.829468Z

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.

source=pdf_text observed=2026-08-06T11:53:46.035443Z digest=sha256:763211c0f0ec35069230c225017203e233a7a329495d4e9a85f236c5b7436e36

Observation acb5c5c3-d2fa-494b-9531-e3b9a2178a5b · outbound

This paper cites Inference on causal and structural 21 parameters using many moment inequalities,.

Generalized Optimal Transport Inference on causal and structural 21 parameters using many moment inequalities,

Reference 1192

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:53:49.822269Z

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.

source=pdf_text observed=2026-08-06T11:53:45.767039Z digest=sha256:22db67a1b110dc993f6fb77e2021be8fc9e7305b0b4ad9ba9437d9a2b4c5fd2c

Observation e8b2a119-ff51-44b0-a0c4-1c4377b851dd · outbound

This paper cites Set Identification in Models with Multiple Equilibria,.

Generalized Optimal Transport Set Identification in Models with Multiple Equilibria,

Reference 2024

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:53:49.810957Z

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.

source=pdf_text observed=2026-08-06T11:53:45.942804Z digest=sha256:0fee65795de98fbee27b782d451150378b5514c334d05ad90851a6a7a8a06780

Pith citing papers

Observation cc4e0d39-1323-48f2-a34f-9cedc0310ff9 · inbound

Inference in partially identified moment models via regularized optimal transport cites this paper.

Inference in partially identified moment models via regularized optimal transport Generalized Optimal Transport

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T15:11:06.959544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:11:06.959544Z digest=sha256:31a2fb8e44601f9d8f17dbf9bcb999e4cbfd4daae181e9ca6b1a95f4e84d8964