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Paper Citation Record · LEDGER

Generalized Optimal Transport

As of 23 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 2026-08-23T06:30:58.430688+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=sha256:5ca3d2970e73708257b1527dfb5901fa18d51ac60b5e01a92ee687cced1adfb6

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:47.420720Z digest=sha256:37062e9a97488009b1e8c23d3538d12cbd5703ba4d46390837abdcb0d615a327

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:46.183453Z digest=sha256:6646501a0caa7d9b12d08ecbb9881083b1016278327388679a81963d87506357

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:46.305520Z digest=sha256:e32d34fdf1492430731381cab9af8d638c10e596ac6e3438b5475110638d0052

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:46.444014Z digest=sha256:1be03a0ef965e93cb3e175c2d6e9f6c43f6895ae45f57248386372a9c1a820a5

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:46.645511Z digest=sha256:030ba19aa2aef140daded31e5b1c493e230ef85632896d65049258c4843676ad

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:46.777343Z digest=sha256:f7708731d3c914d6b9e5e789456a849210be7ee0c4b97f0698c22008e06a2f4e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:46.905675Z digest=sha256:981d4b8a85729ee67532037878621c046c7f43dcc8f951e61ae5d47b5b14f08f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:47.110408Z digest=sha256:d6dff2f688a1c6ca377c94ac0bd8062fe26ddf889c01dcd0b074f02a5076cd9b

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:47.247242Z digest=sha256:56380517ff6db0b19f8ce2a7d1c8d763559a1b209f24ad78ee7cca932c120497

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:47.512150Z digest=sha256:5bde9c357fa9990d5863e2113eb5e4f856b747f060d3f1fdec2ec0086e0a3d51

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:46.035443Z digest=sha256:08eea6b03ea25a01a17f6c95770e1faf9ea07cf165233e4cc85636f3ff11a694

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:45.767039Z digest=sha256:effabc1a4dbfa7bee17c9938001b7a74f514df9013a324e639113d0f5105f641

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T11:53:45.942804Z digest=sha256:035ed47b6716ec3565c4670dabc9a6aa15368f06e1605509f9a1304e4afaffe3

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=sha256:7e4aae4c8044f3c3ba3ddda7cf754f15e674601ff414c5b8a35c8043ca65b6ee