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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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.521279Z digest=sha256:9f30b495b9464996b46aecf6994cbaf6b301001921a0bf2cc03bddf14568025b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.527717Z digest=sha256:23d0058e95af789fdf20bc392f25b5a980198ec863cf069082f246766db943e8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.533987Z digest=sha256:837b7e19a65807d961f32f1e3e7f770ae81c2a27a9c3550b9e8fe3527c1a6587

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.538768Z digest=sha256:5461f666992269b8afb9f51fb585b45bdc1af8f66affeda275ca91c00e52c6e6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.543637Z digest=sha256:c7b6ad7aa44dbd2f5b1243fab028b1c918bd55c9de8582dc1550a81714587450

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.548359Z digest=sha256:cfb2c5e33b29f4f53177e0e36a05b72cdbc85dbbb4bfda647570ac4cb8dd36b7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.553554Z digest=sha256:1eb4869f6e05c5f6a8927bf023b25521bd0d2bc51b84d7704bbde47f65b6da8c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.558426Z digest=sha256:4617592057b4622cb6965d23f4234ac993d1bc2a984320673fbfd3ee87d166e6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.563322Z digest=sha256:c0ea8af88c19615a613bd075d3db3a5a8e6c4c2cf2ce1b4d325da83f015bda86

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.567839Z digest=sha256:0aa9034e643ee3e2cb5adc3189e401cc87051aa73ec3de3490a45fdf49145dd2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.573195Z digest=sha256:0178a0d651043a23cafb6604540d1d15cacadf6a6dd55cc763b7f85ad3463c45

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.577939Z digest=sha256:ca2f53e543bf16a9ed8a4fd84ca7966e5762ff012609d9c8e0c775d80db6c9c1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.582817Z digest=sha256:b3bd90cc4d04b74cb3e24e6141146165a26bd00ac23fc4fe741b3e699ace1477

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.587601Z digest=sha256:f4af98ec6eedcd2ca550ffc3a4d15a57423020e2ff9585313d011ae0886559d0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.591893Z digest=sha256:90a1da85a2b9aa1ad5634e30862043743c2404a65c90f7176f0167cebd152a3f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.596181Z digest=sha256:59e959571489c221845737e54ed5cf2154f68754b2ff5b767d4c1709e45971cf

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.600848Z digest=sha256:6c01eacd857b45966021d51ad4e43af76e37bbfb6dfa604eaac65a5be2802c8d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:54:47.605117Z digest=sha256:7e1063ec1f4a3717cc7a05e09376c55c88c4ca662496bda959f51659ab5428aa

Pith citing papers

No inbound Pith citation observations are available.