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Paper Citation Record · LEDGER

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries

As of 13 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2606.14318.

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

pith.paper-citation-record.v1
2606.14318 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:39:45.901316Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T12:03:59.262113Z

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 exact0
  • verified fuzzy0
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 43564307-8d75-45cd-a53f-b73859d71c59 · outbound

This paper cites Burago, I.U.D.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries Burago, I.U.D

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:43.976090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:43.976090Z digest=sha256:9f1a99689f428c795a55c2198a944f75c4574db5c4b1910c5fec3dca8bcca924

Observation 0209772d-48ac-422a-bb8d-ddead90a3e5c · outbound

This paper cites an unresolved cited work.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:44.066373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:44.066373Z digest=sha256:8649d9df1ef60af2ed35cf69ba53abf068dfb343d57aaeec5539f38d0c278578

Observation 1b810375-6db6-4223-8c16-bde69c57d49a · outbound

This paper cites 1, 1--44.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries 1, 1--44

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:44.293575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:44.293575Z digest=sha256:d1cc68f3f299986e2646f0d324476c1adc098c481dc98c03201a11abaabc54f9

Observation 969b26b9-8406-4d7c-862b-09826cc4f55b · outbound

This paper cites 11, 3090--3123.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries 11, 3090--3123

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:44.425619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:44.425619Z digest=sha256:fbce63d357e42a94f3570f9f0419085a7d64fa33ab4ae4a55a4532227b73a087

Observation b0f3c110-27b4-421f-b246-2f422fe77cb9 · outbound

This paper cites The infimal convolution structure of the Hellinger-Kantorovich distance.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries The infimal convolution structure of the Hellinger-Kantorovich distance

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:44.543145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:44.543145Z digest=sha256:c3dabfd1c86c003f18064335708ecb441284c7218b93a1e5bf4e1f32ab845b57

Observation 6ec73b7c-ed28-4865-bcff-c268f14d8e3f · outbound

This paper cites The Hellinger-Kantorovich metric measure geometry on spaces of measures.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries The Hellinger-Kantorovich metric measure geometry on spaces of measures

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:44.661836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:44.661836Z digest=sha256:8e82874269e0032de5595292c21badb072b8f3c8c1699a360f162075d4aed40a

Observation 3aaf7478-094b-4804-b5bb-2d85876dbc91 · outbound

This paper cites an unresolved cited work.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:44.781458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:44.781458Z digest=sha256:74b696b40a48a1e6de0873c2171ffaf2d5c76f89f67bc55fa9828f778fc256ab

Observation ea7255ab-56eb-4840-9e33-7e672caa0d9c · outbound

This paper cites an unresolved cited work.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:44.900471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:44.900471Z digest=sha256:14ceef1d60b16bde5986506e9b97bed1a510c1ec2383c3c0c704fa0872589ab1

Observation a10fa03f-798a-44d7-9517-852e4af831ae · outbound

This paper cites 11-12, 1117--1164.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries 11-12, 1117--1164

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:44.982624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:44.982624Z digest=sha256:e610f1defb4ffa529d2fb300213d22a9ed36fade099deae2619fd7a279136ca8

Observation 26fe8d07-8871-4179-86d7-102cb57afb02 · outbound

This paper cites 3, 2053--2084.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries 3, 2053--2084

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:45.108779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:45.108779Z digest=sha256:55a1304c5d7a1cb236d63af307275c49cb46f5a7d9ee5f27f2c614912dd8088a

Observation 7bbfa8ab-4c03-4207-9590-fdb819b35ed8 · outbound

This paper cites an unresolved cited work.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:45.229381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:45.229381Z digest=sha256:c401b3482d7ddcfae57807c9439c58bad96612280e18a538f1d125e893ddf15f

Observation cb1cd1a9-5641-45d4-9e70-14687f0747f2 · outbound

This paper cites 4, 2869--2911.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries 4, 2869--2911

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:45.395959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:45.395959Z digest=sha256:241de0aac2998d51a2882ddab9581b84f97eeffd84137d76ef4140d7ef7a9bab

Observation d89f23f6-c632-430d-891c-a6567b5d0633 · outbound

This paper cites 3, 969--1117.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries 3, 969--1117

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:45.541152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:45.541152Z digest=sha256:4e4a612799b3f448cd158cd590e27c986d28bc0cafa8a1f175169dd6afcea05d

Observation 0aef3738-cd75-495c-9312-a85e018f425b · outbound

This paper cites an unresolved cited work.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:45.611966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:45.611966Z digest=sha256:433e49ee513192945702cb0726ee12cb313700bb84549fceff6871609aaad796

Observation 05c325df-834e-4375-87c1-62a9efe1d2b7 · outbound

This paper cites an unresolved cited work.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:45.731746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:45.731746Z digest=sha256:72c69af287ec30554fd12fec6746f15e6e10847c03ab9dde0b5cb193d603bfd5

Observation 28e25606-fdd3-4ebd-856c-a3a860424b40 · outbound

This paper cites 103, Academic press, 1983.

Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries 103, Academic press, 1983

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-02T11:39:45.901316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:39:45.901316Z digest=sha256:13c3071376a9cef1a86fbe5907dbdf40a6a124b1e9b4645ed54d81de32fece70

Pith citing papers

Observation 96d6bf31-4f95-4749-9bfd-eb9b70d78237 · inbound

A 'global' Perspective on the Differential Geometry of Wasserstein Spaces cites this paper.

A 'global' Perspective on the Differential Geometry of Wasserstein Spaces Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries

Reference 24

Resolution
unresolved
no resolver link, observed 2026-07-30T12:03:59.262113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:03:59.262113Z digest=sha256:aded327c4df300827519e4ba51ddfcc7fab6bf33073ec3447dbcb8bc24eb5549