Pith. sign in

Paper Citation Record · LEDGER

Global $W^{2,p}$ Regularity in Optimal Transport

As of 10 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2607.24666.

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

pith.paper-citation-record.v1
2607.24666 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T08:36:26.094255Z

measured 25 of 25 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved25
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 369cf4db-ff79-4e8a-9a44-2fc431beed05 · outbound

This paper cites Borell,Convex set functions ind-space, Period.

Global $W^{2,p}$ Regularity in Optimal Transport Borell,Convex set functions ind-space, Period

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:24.421868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:24.421868Z digest=sha256:012851a8c0821db2737170cf828dd97ea586b08a49d8239d9bbf231f84179e0c

Observation d2851f7e-9b1c-4aa3-92c0-fd39cfb7818f · outbound

This paper cites Brenier,Polar factorization and monotone rearrangement of vector-valued functions, Comm.

Global $W^{2,p}$ Regularity in Optimal Transport Brenier,Polar factorization and monotone rearrangement of vector-valued functions, Comm

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:24.476684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:24.476684Z digest=sha256:84d16138778c78f65f9b75abfb07ce7648fee6688774e72101d4e63849b3f234

Observation dce449f5-adf9-457a-933a-c1140645d7b6 · outbound

This paper cites an unresolved cited work.

Global $W^{2,p}$ Regularity in Optimal Transport Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:24.529938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:24.529938Z digest=sha256:491558a242f2c60ec865fb0743552c6ff0dbcb98f99bd77c2c8eb12efe265086

Observation 402e5055-d315-4126-a64c-5678d251f54d · outbound

This paper cites an unresolved cited work.

Global $W^{2,p}$ Regularity in Optimal Transport Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:24.595812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:24.595812Z digest=sha256:79d3fbb0ee1aa96be10aeb08c60eafc0233eaa59192961907f506c07cdcfdf41

Observation 33997dae-40ca-44c0-b1ec-08540e60e565 · outbound

This paper cites an unresolved cited work.

Global $W^{2,p}$ Regularity in Optimal Transport Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:24.658601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:24.658601Z digest=sha256:c60b05427b01c3c9f579c98712878c2e2b15cd67eee1dacfc4305acdd9fae121

Observation 203a3d44-02e7-4017-be3f-bc97e88b6b47 · outbound

This paper cites an unresolved cited work.

Global $W^{2,p}$ Regularity in Optimal Transport Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:24.705673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:24.705673Z digest=sha256:041430b4c4a11ec84e5f5b2dbe3af076ad01c929f8c6e708e34f9d218fb42115

Observation d917560e-6b21-47ec-adf1-168eb4ba1a84 · outbound

This paper cites an unresolved cited work.

Global $W^{2,p}$ Regularity in Optimal Transport Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:24.759122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:24.759122Z digest=sha256:f93068ac5b9cfb28adcb74f0ddb90c518d9abc7c696b450a8aed25bcfd1002c3

Observation d7d09e3b-147d-49da-b3e0-b6cd0f75ae31 · outbound

This paper cites an unresolved cited work.

Global $W^{2,p}$ Regularity in Optimal Transport Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:24.809389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:24.809389Z digest=sha256:0f622951f243556b951ee7d305a1398ae1f91b6ad6ec79df516224361b393ad9

Observation b2462d70-ddec-4c0e-87b1-39b821c38df1 · outbound

This paper cites an unresolved cited work.

Global $W^{2,p}$ Regularity in Optimal Transport Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:24.865515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:24.865515Z digest=sha256:94c5796405f86c6cea74ab0620035b794666dff778a977a4b7e2d7affa5c959e

Observation 90de5bc8-aba1-4c26-8a03-cda90138d65c · outbound

This paper cites an unresolved cited work.

Global $W^{2,p}$ Regularity in Optimal Transport Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:24.922763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:24.922763Z digest=sha256:27804b43ea0236ffcbc285bb9cf8773ea9e3e734cff0b4c7280e3824d1639a31

Observation be29b00a-8cca-4c42-8682-7f806c5fb9ce · outbound

This paper cites Optimal (partial) transport to non-convex polygonal domains.

Global $W^{2,p}$ Regularity in Optimal Transport Optimal (partial) transport to non-convex polygonal domains

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:24.961945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:24.961945Z digest=sha256:766c6718729cf067f057704f3209a928b01a496c46017c175ef8cb5893ead4a6

Observation 58eb198e-4b50-4357-8643-3adbe5076ad5 · outbound

This paper cites Boundary regularity of optimal transport maps on convex domains.

Global $W^{2,p}$ Regularity in Optimal Transport Boundary regularity of optimal transport maps on convex domains

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:25.087119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:25.087119Z digest=sha256:fb360057cf28fe69bc6ccff7fdcc5af955cf4261c7acaa7a7c34add0ab0be020

Observation 59df3268-5940-494d-8a1c-da1b54337f47 · outbound

This paper cites Figalli,The Monge–Amp` ere Equation and Its Applications, Zurich Lectures in Advanced Mathematics, European Mathematical Society, Z¨ urich, 2017.

Global $W^{2,p}$ Regularity in Optimal Transport Figalli,The Monge–Amp` ere Equation and Its Applications, Zurich Lectures in Advanced Mathematics, European Mathematical Society, Z¨ urich, 2017

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:25.159281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:25.159281Z digest=sha256:52c1b3b556ac3412f7427a2adb83bab2294c75e984fd59d49e54d5f114d0612d

Observation 8ee7709b-bc3d-4d52-bc49-71c3e6df575a · outbound

This paper cites Figalli and Y.

Global $W^{2,p}$ Regularity in Optimal Transport Figalli and Y

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:25.208837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:25.208837Z digest=sha256:f20b2afd771558ecab538c291c1115f35af052d99345ac756a593cfd2a3bcaae

Observation 29635d8a-23f9-4ee9-a4f9-378d14fd44cc · outbound

This paper cites Fradelizi and O.

Global $W^{2,p}$ Regularity in Optimal Transport Fradelizi and O

Reference 15

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:25.294742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:25.294742Z digest=sha256:0c9d34d825d8c6f9dc57a03ad06640ecbca2ccf63b55dfe597de29153d028c19

Observation aea2def5-9896-4e27-a031-84e9ec75eaac · outbound

This paper cites Jhaveri and O.

Global $W^{2,p}$ Regularity in Optimal Transport Jhaveri and O

Reference 16

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:25.394743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:25.394743Z digest=sha256:77310e0c30f1a2d285351d811692d25ee35f06083dd216e551eb7681fc75dfe3

Observation af72f8be-dc64-49e6-8ef1-16ae92992c60 · outbound

This paper cites Loeper,On the regularity of solutions of optimal transportation problems, Acta Math.202(2009), no.

Global $W^{2,p}$ Regularity in Optimal Transport Loeper,On the regularity of solutions of optimal transportation problems, Acta Math.202(2009), no

Reference 17

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:25.514747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:25.514747Z digest=sha256:2d3051bfeeabfb25743b1759dad9f2610532541cd81cc6abfde91e8c7cecbf3c

Observation 54f9a4bc-0b1e-48cf-8a1d-cf3b4931264d · outbound

This paper cites an unresolved cited work.

Global $W^{2,p}$ Regularity in Optimal Transport Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:25.603862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:25.603862Z digest=sha256:8177c39538236b9776137b95f70c52c2dbf249fc750e6a27a9fe88ff4335a8c9

Observation f8f3f1f5-2401-4e66-83ed-6403b1827a94 · outbound

This paper cites an unresolved cited work.

Global $W^{2,p}$ Regularity in Optimal Transport Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:25.671463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:25.671463Z digest=sha256:b2c077b0682376764d68e059bbc87afebd2f341488a84be64e0546d3647e8cfb

Observation 5c28f1da-1b94-4851-a155-f7d8b75f6373 · outbound

This paper cites Mooney and A.

Global $W^{2,p}$ Regularity in Optimal Transport Mooney and A

Reference 20

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:25.749600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:25.749600Z digest=sha256:54d26f7c0654f1f08ffba0fb69f18f570059c8aace5f8c9ea235840fbc57132f

Observation 06080128-711a-4ba1-9652-adaa82320516 · outbound

This paper cites an unresolved cited work.

Global $W^{2,p}$ Regularity in Optimal Transport Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:25.798377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:25.798377Z digest=sha256:f3033f5a4a19263c879c691b06ccfda9a223b3e17cfa3ba6bfa19de1841636b9

Observation 4d8eb6e4-70c1-47f5-9558-c1a51fe1022d · outbound

This paper cites Savin,Global W 2,p estimates for the Monge–Amp` ere equation, Proc.

Global $W^{2,p}$ Regularity in Optimal Transport Savin,Global W 2,p estimates for the Monge–Amp` ere equation, Proc

Reference 22

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:25.841120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:25.841120Z digest=sha256:815dec265d32e00ad14d4a1cf24220b23e73474779915cc43f6140d4abc1ad52

Observation d2d51c10-6372-4f1b-b15f-f835d77622d1 · outbound

This paper cites Savin and H.

Global $W^{2,p}$ Regularity in Optimal Transport Savin and H

Reference 23

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:25.939378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:25.939378Z digest=sha256:b51615fc40d8eda6c061987bf314b821718a2164dd046c63b1049b06952b98c5

Observation 3437158b-3011-48de-a624-bd757b2844fd · outbound

This paper cites Villani,Topics in Optimal Transportation, Grad.

Global $W^{2,p}$ Regularity in Optimal Transport Villani,Topics in Optimal Transportation, Grad

Reference 24

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:26.016876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:26.016876Z digest=sha256:00f723760acad72e6bce7d38685bc19f9be18bd2f32d2b97c419acfe15c071ea

Observation d2efeb94-743e-463b-b342-c2820e0e04d0 · outbound

This paper cites Villani,Optimal Transport: Old and New, Grundlehren Math.

Global $W^{2,p}$ Regularity in Optimal Transport Villani,Optimal Transport: Old and New, Grundlehren Math

Reference 25

Resolution
unresolved
no resolver link, observed 2026-07-31T08:36:26.094255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T08:36:26.094255Z digest=sha256:13a214da1d96649ca44c2bec006e90ea6e5a1bf299b8432bd4c1a31623b6f2df

Pith citing papers

No inbound Pith citation observations are available.