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Paper Citation Record · LEDGER

Approximating the Convex Hull via Metric Space Magnitude

As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.02692.

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

pith.paper-citation-record.v1
1908.02692 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:44:42.122482Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 exact1
  • verified fuzzy15
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 92871501-8886-4d6d-9a4d-917bca010930 · outbound

This paper cites Bradford Barber, David P.

Approximating the Convex Hull via Metric Space Magnitude Bradford Barber, David P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.547873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:44:42.010984Z digest=sha256:d02b9da24676592bdfb42eec3bd17cb5816783d112df547bef56bf67ed09506d

Observation aa2d4d0e-0209-4c8f-a6fe-abe5992c49bf · outbound

This paper cites On the magnitudes of compact sets in Euclidean spaces.

Approximating the Convex Hull via Metric Space Magnitude On the magnitudes of compact sets in Euclidean spaces

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.530841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6fc61fc3-98a7-42c7-a05f-a9442225c816 · outbound

This paper cites Golub and Charles F.

Approximating the Convex Hull via Metric Space Magnitude Golub and Charles F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.510033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8d325c5d-bb31-4e25-8aab-e67f20c50f96 · outbound

This paper cites K \:u hne, and Christian Plessl.

Approximating the Convex Hull via Metric Space Magnitude K \:u hne, and Christian Plessl

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.487832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:44:42.034342Z digest=sha256:29f352462a2eb7a678e4be9284f4541a5ae19136e9d63bcc496d67deb407a8fc

Observation 6eaf90b0-7a99-405a-b620-dbb7746883e0 · outbound

This paper cites The magnitude of metric spaces.

Approximating the Convex Hull via Metric Space Magnitude The magnitude of metric spaces

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.468730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0a9a3a54-dcea-4099-9564-6a08d75831a2 · outbound

This paper cites The magnitude of a metric space: From category theory to geometric measure theory.

Approximating the Convex Hull via Metric Space Magnitude The magnitude of a metric space: From category theory to geometric measure theory

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.448455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation bb91f5b7-77f5-4dbe-9f10-f592f42a9d1c · outbound

This paper cites On the asymptotic magnitude of subsets of euclidean space.

Approximating the Convex Hull via Metric Space Magnitude On the asymptotic magnitude of subsets of euclidean space

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.421525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:44:42.052582Z digest=sha256:ffbcf55940afb5cae1dad2f0325047d6e76b6268ded0e92c9ae370bf34df1c3a

Observation 1ec76b13-6956-4adc-8f39-e38233a84249 · outbound

This paper cites an unresolved cited work.

Approximating the Convex Hull via Metric Space Magnitude Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:44:42.394244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:44:42.061381Z digest=sha256:2bf47fbee6b392e99de769c7f7a53813a6862f5dc1d899b6f054e9c14f0d2751

Observation 407cdc24-fdf0-4383-bd61-0a23477626ed · outbound

This paper cites Ju \'a rez Ruiz, R.

Approximating the Convex Hull via Metric Space Magnitude Ju \'a rez Ruiz, R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.370997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:44:42.067359Z digest=sha256:ab195cb646113e9849714257a63bc3f9fe96e970f97346a1e23c6fc333d332f4

Observation 0ad2f997-467c-468f-8612-df1fcca9c86a · outbound

This paper cites Bradford Barber, David P.

Approximating the Convex Hull via Metric Space Magnitude Bradford Barber, David P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.354626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:44:42.075860Z digest=sha256:e191d90a225023ea668fc8f59077218a9d8baf38a0490d7290526d37e67059b2

Observation 9788f9f5-b66b-4400-8230-2ef0cc9ef22b · outbound

This paper cites Golub and Charles F.

Approximating the Convex Hull via Metric Space Magnitude Golub and Charles F

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.337659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:44:42.081143Z digest=sha256:4818869f0b0c6518474c5f75bf8e7b748cb407a5350f5d0f447d5ab14c4f699a

Observation be6b22b3-3ece-442c-817a-c55342aa6804 · outbound

This paper cites K uhne, and Christian Plessl.

Approximating the Convex Hull via Metric Space Magnitude K uhne, and Christian Plessl

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.320439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:44:42.086906Z digest=sha256:8c7dec67032a98911378f0f754a9d9be6a08c4d5d49a402672dc5e981d97a03d

Observation edbe455a-c99e-49ce-baa8-40459d64434d · outbound

This paper cites Ju \'a rez Ruiz, R.

Approximating the Convex Hull via Metric Space Magnitude Ju \'a rez Ruiz, R

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.295829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:44:42.092408Z digest=sha256:8cdaac1c0215ef0846569209186ef6490f2e801f73072e6cc997a516119f7816

Observation eeb826e2-7bf7-4653-84bb-50da87791da1 · outbound

This paper cites The magnitude of metric spaces.

Approximating the Convex Hull via Metric Space Magnitude The magnitude of metric spaces

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.269788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d05632db-46c9-49af-886a-aefc6bdcdeef · outbound

This paper cites On the asymptotic magnitude of subsets of euclidean space.

Approximating the Convex Hull via Metric Space Magnitude On the asymptotic magnitude of subsets of euclidean space

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.251509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:44:42.104472Z digest=sha256:f49aca2f64a27dd1c05521659885c447e70647dfd44930158b4b35d582339ec8

Observation 12f35008-9da7-4406-9467-b4ffe9304d90 · outbound

This paper cites The magnitude of a metric space: from category theory to geometric measure theory.

Approximating the Convex Hull via Metric Space Magnitude The magnitude of a metric space: from category theory to geometric measure theory

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:44:42.186909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:44:42.109974Z digest=sha256:88d5baa400e611455a74257fe3b86fd82333a4034da09beadf2bfb7eeb0fa1fa

Observation 29f709fd-e711-4bce-a9c6-7c5476934717 · outbound

This paper cites On the magnitudes of compact sets in Euclidean spaces.

Approximating the Convex Hull via Metric Space Magnitude On the magnitudes of compact sets in Euclidean spaces

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:44:42.226664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:44:42.116946Z digest=sha256:155b75ce3b4cd9d711d8f20693fbc0074c85d38a41258e75175ef05ada82645a

Observation 275457f4-2056-43f8-bc6b-1aed895f6272 · outbound

This paper cites an unresolved cited work.

Approximating the Convex Hull via Metric Space Magnitude Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:44:42.206871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Pith citing papers

No inbound Pith citation observations are available.