Paper Citation Record · LEDGER

On The Heine-Borel Property and Minimum Enclosing Balls

As of 21 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2412.17138.

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

pith.paper-citation-record.v1
2412.17138 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:54:33.131206Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T18:53:18.740653Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T18:53:23.460320Z

Reference resolution

16 of 16 outbound references displayed

verified exact3
verified fuzzy3
unresolved7
parse uncertain0
malformed identifier2
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c56f97a3-8662-4877-a70c-f17e00f0ea86 · outbound

This paper cites an unresolved cited work.

On The Heine-Borel Property and Minimum Enclosing Balls Unresolved cited work

Reference 1

Resolution: malformed identifier; raw_fallback, observed 2026-08-11T05:54:33.429702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 34574a7d-df1c-44b7-8fbf-3267205dfc57 · outbound

This paper cites From Funk to Hilbert geometry.

On The Heine-Borel Property and Minimum Enclosing Balls From Funk to Hilbert geometry

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T05:54:33.109542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6aa4c797-04d3-4781-abd7-82e0b080d05e · outbound

This paper cites 24 David Reeb, Michael J.

On The Heine-Borel Property and Minimum Enclosing Balls 24 David Reeb, Michael J

Reference 12

Resolution: malformed identifier; no resolver link, observed 2026-08-11T05:54:33.114054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72785f7b-dfcb-4a8a-803f-895ada7a37af · outbound

This paper cites Flag-approximability of convex bodies and volume growth of Hilbert geometries.

On The Heine-Borel Property and Minimum Enclosing Balls Flag-approximability of convex bodies and volume growth of Hilbert geometries

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-11T05:54:33.234292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 14be24f8-e32e-4914-8688-0e9ff2edd9af · outbound

This paper cites 13 Bas Lemmens and Roger Nussbaum.

On The Heine-Borel Property and Minimum Enclosing Balls 13 Bas Lemmens and Roger Nussbaum

Reference 1895

Resolution: unresolved; no resolver link, observed 2026-08-11T05:54:33.090739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f52da339-5577-4e4b-929d-4064be8a8310 · outbound

This paper cites Gezalyan, Soo H.

On The Heine-Borel Property and Minimum Enclosing Balls Gezalyan, Soo H

Reference 1929

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:54:33.417015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 05c7ce30-953e-4e5f-ab3e-09eb6ab3def9 · outbound

This paper cites Funk and Hilbert geometries from the Finslerian Viewpoint.

On The Heine-Borel Property and Minimum Enclosing Balls Funk and Hilbert geometries from the Finslerian Viewpoint

Reference 1963

Resolution: verified exact; local_arxiv, observed 2026-08-11T05:54:33.252608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f5212fdc-6108-4d05-b6f1-42096c41df3a · outbound

This paper cites A combinatorial bound for linear programming and related problems.

On The Heine-Borel Property and Minimum Enclosing Balls A combinatorial bound for linear programming and related problems

Reference 1964

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:54:33.391667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 78d3472c-415a-45f9-b5fc-d3a7212e0832 · outbound

This paper cites 25 Walter Rudin et al.Principles of mathematical analysis, volume.

On The Heine-Borel Property and Minimum Enclosing Balls 25 Walter Rudin et al.Principles of mathematical analysis, volume

Reference 2011

Resolution: unresolved; no resolver link, observed 2026-08-11T05:54:33.118701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e558cc90-6a84-4cb4-8db2-955a23f90a5a · outbound

This paper cites Birkhoff's version of Hilbert's metric and its applications in analysis.

On The Heine-Borel Property and Minimum Enclosing Balls Birkhoff's version of Hilbert's metric and its applications in analysis

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-11T05:54:33.095979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c657fb08-41c8-413f-9dc7-be788f9160dd · outbound

This paper cites Volume growth of Funk geometry and the flags of polytopes.arXiv preprint arXiv:2306.09268,.

On The Heine-Borel Property and Minimum Enclosing Balls Volume growth of Funk geometry and the flags of polytopes.arXiv preprint arXiv:2306.09268,

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-11T05:54:33.078210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98dcce1c-9ac3-4214-9bda-91b29e860a9f · outbound

This paper cites 6 Ştefan Cobzaş and Mircea-Dan Rus.

On The Heine-Borel Property and Minimum Enclosing Balls 6 Ştefan Cobzaş and Mircea-Dan Rus

Reference 2016

Resolution: verified exact; doi, observed 2026-08-11T05:54:33.214837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f2ebb387-73cd-423b-84a6-d2f6c9b815e5 · outbound

This paper cites 10 On The Heine-Borel Property and Minimum Enclosing Balls 20 Frank Nielsen and Ke Sun.

On The Heine-Borel Property and Minimum Enclosing Balls 10 On The Heine-Borel Property and Minimum Enclosing Balls 20 Frank Nielsen and Ke Sun

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-11T05:54:33.100445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 533c4fd9-957b-41a3-aa34-da73268a4810 · outbound

This paper cites 21 Frank Nielsen and Ke Sun.

On The Heine-Borel Property and Minimum Enclosing Balls 21 Frank Nielsen and Ke Sun

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-11T05:54:33.104755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8aefa5e5-a8f2-455e-be7b-b81438c0fa7d · outbound

This paper cites Analysis of Dynamic Voronoi Diagrams in the Hilbert Metric.

On The Heine-Borel Property and Minimum Enclosing Balls Analysis of Dynamic Voronoi Diagrams in the Hilbert Metric

Reference 2023

Resolution: metadata mismatch; local_arxiv, observed 2026-08-11T05:54:33.376765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a6ccda4e-362d-4f64-896b-08e6d8303d1b · outbound

This paper cites Gezalyan and David M.

On The Heine-Borel Property and Minimum Enclosing Balls Gezalyan and David M

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:54:33.404467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation df8b4613-b08f-40f2-b7ce-82698625b47c · inbound

Hilbert geometry of the symmetric positive-definite bicone: Application to the geometry of the extended Gaussian family cites this paper.

Hilbert geometry of the symmetric positive-definite bicone: Application to the geometry of the extended Gaussian family On The Heine-Borel Property and Minimum Enclosing Balls

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:53:23.563678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.