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Paper Citation Record · LEDGER

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space

As of 13 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2411.13877.

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

pith.paper-citation-record.v1
2411.13877 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:54:47.605117Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

18 of 18 outbound references displayed

  • verified exact3
  • verified fuzzy7
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e1b3b8dc-23cc-4448-9106-bf74ed03d1e5 · outbound

This paper cites Alexandrov meets Kirszbraun.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Alexandrov meets Kirszbraun

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-12T15:54:47.686285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.521279Z digest=sha256:ad82f7c5371bdc9a110c7502abdbdbd4e0651cd7f863527430cf93aac8cf3a1b

Observation fee87ab3-e182-4861-8814-c0cc833cde1c · outbound

This paper cites an unresolved cited work.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:54:47.919457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.527717Z digest=sha256:c69c3a7db77754a94d728b2c84148b3ca4b6be453f0f776215f3637bf2346eae

Observation 4cf02955-4e0e-40fc-aa31-295b04ee74b2 · outbound

This paper cites Andoni, A.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Andoni, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:54:47.904595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.533987Z digest=sha256:04849b55fdf412d586fce302fbabc0fd631ca25caaa8092e6d04d11237e82423

Observation 957ab321-53da-4ef4-9c4c-537066f84fa5 · outbound

This paper cites Baˇ c´ ak, Old and new challenges in Hadamard spaces, Jpn.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Baˇ c´ ak, Old and new challenges in Hadamard spaces, Jpn

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:54:47.888978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.538768Z digest=sha256:24ea55ba6f50be59d19ee2797435058d1f227873cd9d82fe82957b06010a015f

Observation 75008b22-da82-419a-848d-ca6663780364 · outbound

This paper cites an unresolved cited work.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:54:47.874325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.543637Z digest=sha256:e85fd09831b0170589f082c995a259b3dee0cb4b274ca309c3cfe7ce4e320575

Observation e0d878aa-c208-4558-bc02-ade074253ee9 · outbound

This paper cites an unresolved cited work.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:54:47.858722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.548359Z digest=sha256:03864b6d21b541c1e8eb1d1e274e6b0fcccb4e3d0b7dd2f71417c43bd6976c31

Observation de7cb47a-7be4-4422-85bb-9fd6b9472a57 · outbound

This paper cites an unresolved cited work.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:54:47.843640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.553554Z digest=sha256:3c33087d8420acb7b494936f5e338617bcff790d77282312dfc4b1a727969813

Observation c479b5db-75f6-4088-95eb-5440217396a3 · outbound

This paper cites Gromov, J.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Gromov, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:54:47.829145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.558426Z digest=sha256:46e32045b9844f9711ddc49282ae41f5b122b77d47cd71e044aea3d980556e01

Observation 273b784f-ee92-4481-b148-8785ff4c570b · outbound

This paper cites Kleiner, The local structure of length spaces with curvature bounded above, Math.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Kleiner, The local structure of length spaces with curvature bounded above, Math

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:54:47.811736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.563322Z digest=sha256:c2411d735e938daad1f78d40be14695fc944cf7e3100457406dea06e97a54618

Observation 57a5224c-ab11-4d52-af5c-6e350fc075b2 · outbound

This paper cites an unresolved cited work.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:54:47.796053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.567839Z digest=sha256:aa50eff5059803ee85e2169eba7b6f8574de8028136c077c3a2bc39c0ef07f26

Observation 72db146d-93a7-48c9-86ef-f2719605fc21 · outbound

This paper cites an unresolved cited work.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Unresolved cited work

Reference 11

Resolution
verified exact
doi, observed 2026-08-12T15:54:47.641608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.573195Z digest=sha256:106271d313b93263c28e2048e119ba7ef38565b6b5f5cc5fd6cd926bbec1af70

Observation 16677888-545d-4eb5-a2d1-bd26d06256b9 · outbound

This paper cites an unresolved cited work.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:54:47.780885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.577939Z digest=sha256:1f9048962f0193e78a655cbbc60fcdd8d43b50f5695110852d355ecf4055b73d

Observation 245c76e2-0ed5-410d-adea-7654112c5079 · outbound

This paper cites an unresolved cited work.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:54:47.764720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.582817Z digest=sha256:fe9927810c3d098663f540532f3fb67f030f7486f51bd14fe1b5cf8017676520

Observation 3d9ad9c7-4f1d-488f-ba30-d4d0499f31bc · outbound

This paper cites an unresolved cited work.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:54:47.749829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.587601Z digest=sha256:2155f80689ea709ecbf06e0d7a5035f406ba26478da3e3a261d2e677602bc7fb

Observation af9fdfb6-28f3-40cd-b8a8-22b20227248d · outbound

This paper cites Sturm, Probability measures on metric spaces of nonpositive curvature, in Heat kernels and analysis on manifolds, graphs, and metric spaces (Paris, 2002) , 357–390, Contemp.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Sturm, Probability measures on metric spaces of nonpositive curvature, in Heat kernels and analysis on manifolds, graphs, and metric spaces (Paris, 2002) , 357–390, Contemp

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:54:47.733326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.591893Z digest=sha256:897ab7aa14646dd17bc913060be4a60f8a5caa8190e41577fa77c1251420af3e

Observation c78f0197-3e17-4aaf-9833-ef9a43beccb8 · outbound

This paper cites Toyoda, An intrinsic characterization of five points in a CAT(0) space, Anal.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Toyoda, An intrinsic characterization of five points in a CAT(0) space, Anal

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:54:47.716644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.596181Z digest=sha256:8c3cf4d3a891df0d0d0a60c562f7ede755fd0a926c126b80beb2a633f60e5bd5

Observation 9dd0a1e5-e0a0-48b4-b967-b0186459918a · outbound

This paper cites Toyoda, A non-geodesic analogue of Reshetnyak’s majorization theorem, Anal.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space Toyoda, A non-geodesic analogue of Reshetnyak’s majorization theorem, Anal

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:54:47.701836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.600848Z digest=sha256:017bba62862b5b819ee6d009c11dbabc558f4daff566175d3666df1839577721

Observation a096d607-45db-4a90-a4ce-1f2cb38db8a2 · outbound

This paper cites The Andoni-Naor-Neiman inequalities and isometric embeddability into a CAT(0) space.

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space The Andoni-Naor-Neiman inequalities and isometric embeddability into a CAT(0) space

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-12T15:54:47.664865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:54:47.605117Z digest=sha256:95ad0f5e157a6c2b0ba01de7017b908890719527e8ec9e65f28f9a4c209abe3a

Pith citing papers

No inbound Pith citation observations are available.