Pith. sign in

Paper Citation Record · LEDGER

Ultrametric spaces and clouds

As of 20 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 2026-08-20T06:33:59.587034+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.

source=pdf_text observed=2026-08-09T20:37:20.599565Z digest=sha256:ef24ef07f042e2e0b95797ef5c0d20d75d437d03f6fa49ddc6de4476311c7bf3

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T20:37:20.603804Z digest=sha256:bcc88528c7e41c815933f3f69d1290b99cfe8a7415a23d67c2f384cb9885e837

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T20:37:20.606759Z digest=sha256:957b0de9a36e6f93c4f75dc32bf1d3e7884dec9eca9e41dbfafa5085ae882de2

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.

source=pdf_text observed=2026-08-09T20:37:20.609530Z digest=sha256:0005cf3f760018dcfb717faf0410ef00f23c7fd41d263294a90307f3e7823c98

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T20:37:20.612961Z digest=sha256:e6a924b78c8ea39003584a5bd2a6bb33508cb580fa13cd25c5da10e5d3462b57

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T20:37:20.615813Z digest=sha256:1dea0236dba7e149c22cfe1e6febbb05c3634226e044bf8ca27e8a6af5141a6e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T20:37:20.618757Z digest=sha256:ce34d5e8e4725a0d182d94c83f3dba959e746f8c84e45eefc1cfd62e962aae04

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T20:37:20.621422Z digest=sha256:2521a08474995a1131dc2bd9eee324b9ea5660475b2dfad809110a93b98604e2

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T20:37:20.623963Z digest=sha256:c0f95cc7104caa81be4acec41fcc8c44f3d2493c3bde04168ec455211d4d37ee

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T20:37:20.626484Z digest=sha256:d132fc10cc251383b4a39f86e629b4bb173aee004f9c6f54f90f477ec0f39d66

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T20:37:20.629213Z digest=sha256:13ee6d8ca9a1429adb721fc273b49a8200c009c00f395bcd88c9eae987056e93

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T20:37:20.631993Z digest=sha256:d75c7508d2f497907c27a4666a1dc12a8eed29108a3af96511d81431dbacd326

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T20:37:20.634577Z digest=sha256:c4b8520e807ddb3566ebbf672909df3b31622603edb658629407d48396689f37

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-09T20:37:20.637735Z digest=sha256:607abf3cb8a54ce0eddb8a2213853ca1e117a668984fd6201df077673148f22c

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.

source=pdf_text observed=2026-08-09T20:37:20.640170Z digest=sha256:1a2c4334fd0aa688f91ae36949bf07837519700a453767febf8895cd87c7ab82

Pith citing papers

No inbound Pith citation observations are available.