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Paper Citation Record · LEDGER

On the Minimax Optimality of Estimating the Wasserstein Metric

As of 18 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.10324.

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

pith.paper-citation-record.v1
1908.10324 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:57:15.377974Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 97215298-fcf7-4932-bc14-5d128f6ba9e1 · outbound

This paper cites Estimating integrated squared density derivatives: sharp best order of convergence estimates.

On the Minimax Optimality of Estimating the Wasserstein Metric Estimating integrated squared density derivatives: sharp best order of convergence estimates

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:57:15.681215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T10:57:15.294864Z digest=sha256:e9d7dc9194ac946a4fe1e804a0d7eb66287b3012032cc5280ec1ab0a4620430f

Observation 6174f11c-7287-46c7-8cea-1018f6e45524 · outbound

This paper cites Some regularity properties of solutions of monge ampere equation.

On the Minimax Optimality of Estimating the Wasserstein Metric Some regularity properties of solutions of monge ampere equation

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:57:15.664692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T10:57:15.301188Z digest=sha256:b48362db2b7fd6de2bbf45f0064f3d0f7800af65f568d6de3f1d568231a9c8ae

Observation 4c49f55f-4108-4853-8f3c-0ab25f27f761 · outbound

This paper cites The regularity of mappings with a convex potential.

On the Minimax Optimality of Estimating the Wasserstein Metric The regularity of mappings with a convex potential

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:57:15.648832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T10:57:15.307372Z digest=sha256:1964014dd7f79e73433a800885ec8fd120ea6ddd78df16455385c8f172725106

Observation 841bd719-8ccf-4969-a462-b675b951d802 · outbound

This paper cites Boundary regularity of maps with convex potentials--ii.

On the Minimax Optimality of Estimating the Wasserstein Metric Boundary regularity of maps with convex potentials--ii

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:57:15.631698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T10:57:15.312590Z digest=sha256:0caca87fdcc54735ff3e5a91b906c39f736d81063a3077edcd9319cd07e5ebde

Observation a9a6e03f-7229-42f6-84a9-959be621cddf · outbound

This paper cites Minimax quadratic estimation of a quadratic functional.

On the Minimax Optimality of Estimating the Wasserstein Metric Minimax quadratic estimation of a quadratic functional

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:57:15.615421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T10:57:15.318882Z digest=sha256:7ca2830de65503e5cad4fa5edd5a2b0d691752b5f977eb6bfc992e4fbc6d8ae9

Observation ec5c7057-d548-46ef-badf-b3b565b5a267 · outbound

This paper cites Density estimation by wavelet thresholding.

On the Minimax Optimality of Estimating the Wasserstein Metric Density estimation by wavelet thresholding

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:57:15.598144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T10:57:15.324926Z digest=sha256:d77ce02a5485bd408d31ef1ebd3393e08f2d3b1146da82eb2cef3c9cfdeafdb6

Observation 907d91a2-896e-48ba-9407-fa7df6b58c6a · outbound

This paper cites The speed of mean glivenko-cantelli convergence.

On the Minimax Optimality of Estimating the Wasserstein Metric The speed of mean glivenko-cantelli convergence

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:57:15.577167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T10:57:15.330743Z digest=sha256:7fb891f3d773f78d79ac15808df52b7a1f87fc8a703ebaebf2e232a5be179a27

Observation 4b5f2361-cc77-4251-8207-b4692d9d5999 · outbound

This paper cites On estimation of the l r norm of a regression function.

On the Minimax Optimality of Estimating the Wasserstein Metric On estimation of the l r norm of a regression function

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:57:15.559783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T10:57:15.336160Z digest=sha256:93f8981afd57f74b33ad87dfa6c31ce8a2bc8fc1fa5c3a6e557a5620b86e74f4

Observation 184cef39-5919-4ab3-8b69-984d7d83b800 · outbound

This paper cites How Well Can Generative Adversarial Networks Learn Densities: A Nonparametric View.

On the Minimax Optimality of Estimating the Wasserstein Metric How Well Can Generative Adversarial Networks Learn Densities: A Nonparametric View

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T10:57:15.341743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T10:57:15.341743Z digest=sha256:2f59760aa91ad916d211396af570b8ee7bdb537463eaee5339f77cf6ced5e6e0

Observation 9d194acb-e8c5-454a-a9d3-111653e0dbae · outbound

This paper cites How Well Generative Adversarial Networks Learn Distributions.

On the Minimax Optimality of Estimating the Wasserstein Metric How Well Generative Adversarial Networks Learn Distributions

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T10:57:15.347085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T10:57:15.347085Z digest=sha256:20f6f3cbbe6ae21cd559d133d9b64623c5b584266a761c13e7b0c47df68b949e

Observation 915a684f-e65f-44cb-a19b-d87c305b13b3 · outbound

This paper cites On minimax optimality of estimating the adversarial losses.

On the Minimax Optimality of Estimating the Wasserstein Metric On minimax optimality of estimating the adversarial losses

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:57:15.539525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T10:57:15.352700Z digest=sha256:35528a4bf7fce75a59f0591ca3f9b02e989bc0d50981c469b96b19e7a321d675

Observation 1e700b6c-cbf7-4906-bb9e-4dc6bc4d6cfc · outbound

This paper cites Nonparametric density estimation under adversarial losses.

On the Minimax Optimality of Estimating the Wasserstein Metric Nonparametric density estimation under adversarial losses

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:57:15.521758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T10:57:15.357545Z digest=sha256:686a14f8d8cc8ce0233be8cf5d41db1ec9ba06e943719649259c8d62bcf783bc

Observation dd4ff359-e442-4b34-836e-2962205c7b3d · outbound

This paper cites Theory of interpolation, functional spaces and differential operators.

On the Minimax Optimality of Estimating the Wasserstein Metric Theory of interpolation, functional spaces and differential operators

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:57:15.504957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T10:57:15.362443Z digest=sha256:f76dc104efed58ade442df7ceb1ec765d18bcf7e31cf7d87ee7ff4a77986dd3e

Observation 03880c8f-77ea-4f30-8594-d7208c6ac8f4 · outbound

This paper cites Optimal transport: old and new, volume 338.

On the Minimax Optimality of Estimating the Wasserstein Metric Optimal transport: old and new, volume 338

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T10:57:15.367232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T10:57:15.367232Z digest=sha256:fa40699933535d01684f8e35da9de493777dc7d96dc971bf4786209c3c67c1b0

Observation ad1020bb-37dc-4842-8ce7-48f946e421aa · outbound

This paper cites Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance.

On the Minimax Optimality of Estimating the Wasserstein Metric Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T10:57:15.372735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T10:57:15.372735Z digest=sha256:fa6b1bd9ca7d846b9383f6d4338fe2e529b91a6863b864d3b36e4fb761bb4d50

Observation 8551f4f9-b3b9-456b-9b96-e2fdb7d54b0b · outbound

This paper cites Minimax estimation of smooth densities in Wasserstein distance.

On the Minimax Optimality of Estimating the Wasserstein Metric Minimax estimation of smooth densities in Wasserstein distance

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:57:15.424685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T10:57:15.377974Z digest=sha256:4c1db668af3fa95a3c5a9c74a4736b500dca00c29f8a2789a58b2cf5b271abc9

Pith citing papers

No inbound Pith citation observations are available.