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Paper Citation Record · LEDGER

Generalized Optimal Transport

As of 17 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:47.420720Z digest=sha256:0c1f2835c6ec33c735ac16db0f4146145685b58156f84ef95433b5068f322b7e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:46.183453Z digest=sha256:712c5786eaae40c6bff87e3b65096dd464777e864fc5c7fb8961f36150fa5e23

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:46.305520Z digest=sha256:f34ebdc282c80fcbf81e9f90d402f9a5c16d2fe982bb9f44963428e14cfb83d6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:46.444014Z digest=sha256:f76380f06ec9ceb8e3196629b0e335b4e696d7330666dd90dad36986903963f4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:46.645511Z digest=sha256:59af4a704921c4fdea582493a282ec7b1fa9022077eeed0222693e960ea999c9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:46.777343Z digest=sha256:92d59648d1812c6e869cd3c42739d95aedbdc27211a9963add32f0e6476e54dd

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:46.905675Z digest=sha256:db949b2c1ed6afb0c17a7bb758001e06ee276ced45b98c7536c860be6e289227

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:47.110408Z digest=sha256:6e6758d67af9c3ec37213a1a6b72a534e81c30bb9973560ec932f684ae2e31de

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:47.247242Z digest=sha256:2dc45c964c0d219978221dfb0877061a74434e6cb9ad6b31dfdbcd89c69d8f79

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:47.512150Z digest=sha256:7528fd16f2ae8e08add1e76a54decfdf0b24f15af455dad1d1620a0db2dea34b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:46.035443Z digest=sha256:2e730d171fda124214f8c7c3ce6199ae80c492b80ac2464f044a9c13c0883c11

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:45.767039Z digest=sha256:49877a662080629fa672ad62fe98c4f1a5cf0c488d7e9c029c8a9769d3a132f3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:53:45.942804Z digest=sha256:b8166ff1267dc986d7ee75d59cb1f8accc72b3b454e7764aad411f38e4024787

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