Paper Citation Record · LEDGER

Ultrametric spaces and clouds

As of 10 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2501.19346.

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

pith.paper-citation-record.v1
2501.19346 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T20:37:20.640170Z

measured 15 of 15 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

15 of 15 outbound references displayed

verified exact2
verified fuzzy5
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dc5fc182-1607-4213-86e3-baf5bfe11b0f · outbound

This paper cites Gromov-Hausdorff class: its completeness and cloud geometry.

Ultrametric spaces and clouds Gromov-Hausdorff class: its completeness and cloud geometry

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-09T20:37:20.599565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78e4fe11-9a7b-4b6a-8c1d-82310b01fb35 · outbound

This paper cites an unresolved cited work.

Ultrametric spaces and clouds Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:37:20.779433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e9abcb7a-1eec-4607-98fd-256d6684287b · outbound

This paper cites an unresolved cited work.

Ultrametric spaces and clouds Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:37:20.772207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d879605b-b8a6-4175-8526-ca42cdcb729a · outbound

This paper cites Extendability of Metric Segments in Gromov--Hausdorff Distance.

Ultrametric spaces and clouds Extendability of Metric Segments in Gromov--Hausdorff Distance

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-09T20:37:20.609530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ba91ee4-0dbe-4ef7-b9ce-30dabef2f8c5 · outbound

This paper cites Burago, Yu.

Ultrametric spaces and clouds Burago, Yu

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:37:20.764668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation da37b8bd-527e-4ae1-baa7-ddb5e0d807c6 · outbound

This paper cites an unresolved cited work.

Ultrametric spaces and clouds Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:37:20.757249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fbe3de61-d4c3-411f-8a05-29538f81e116 · outbound

This paper cites Gromov, Structures m´ etriques pour les vari´ et´ es riemanniennes, Textes Math.

Ultrametric spaces and clouds Gromov, Structures m´ etriques pour les vari´ et´ es riemanniennes, Textes Math

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:37:20.749217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9ef49d5f-bb4a-45e2-adb3-98e483cbeb1d · outbound

This paper cites Gromov, Metric structures for Riemannian and non-Riemannian space s, Birkh¨ user (1999).

Ultrametric spaces and clouds Gromov, Metric structures for Riemannian and non-Riemannian space s, Birkh¨ user (1999)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:37:20.740009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fd4233ec-64f9-4f1a-83fc-a75fbdce4700 · outbound

This paper cites an unresolved cited work.

Ultrametric spaces and clouds Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:37:20.731403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f9fc9012-bf1e-4ecd-bee8-c43450f37bea · outbound

This paper cites Kuratowski, Quelques probl` emes concernant les espaces m´ etriques non -s´ eparables, Funda- menta Mathematicae 25: pp.

Ultrametric spaces and clouds Kuratowski, Quelques probl` emes concernant les espaces m´ etriques non -s´ eparables, Funda- menta Mathematicae 25: pp

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:37:20.723101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e75e35af-941e-4c91-b88a-b7e04106979b · outbound

This paper cites Gromov-Hausdorff distances between normed spaces.

Ultrametric spaces and clouds Gromov-Hausdorff distances between normed spaces

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-09T20:37:20.682989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d1c4add9-14b8-4b82-a785-06dc22aa13a8 · outbound

This paper cites an unresolved cited work.

Ultrametric spaces and clouds Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:37:20.714633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation eddbe139-4a01-47ad-9656-7772d1a085ca · outbound

This paper cites The Gromov-Hausdorff distance between spheres.

Ultrametric spaces and clouds The Gromov-Hausdorff distance between spheres

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-09T20:37:20.671823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ce6ae88f-8eb4-4cc7-9983-a6cee28efe37 · outbound

This paper cites Talipov, The Gromov–Hausdorﬀ Distance between Vertex Sets of Regula r Polygons Inscribed in a Single Circle , Moscow Univ.

Ultrametric spaces and clouds Talipov, The Gromov–Hausdorﬀ Distance between Vertex Sets of Regula r Polygons Inscribed in a Single Circle , Moscow Univ

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:37:20.706284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b2cc683a-3abe-463b-834e-da8f13f103bb · outbound

This paper cites Lectures on Hausdorff and Gromov-Hausdorff Distance Geometry.

Ultrametric spaces and clouds Lectures on Hausdorff and Gromov-Hausdorff Distance Geometry

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-09T20:37:20.640170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.