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Paper Citation Record · LEDGER

On Berger's Isoperimetric Problem

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.05775.

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

pith.paper-citation-record.v1
2506.05775 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:37:32.566802Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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 exact0
  • verified fuzzy8
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3f88b7a6-8f6b-4d59-b551-227d1b4c0ab7 · outbound

This paper cites 2, 129--149.

On Berger's Isoperimetric Problem 2, 129--149

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:35.368391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.502663Z digest=sha256:e66471d765651ace4d488153641f0822f53b39c62b83ef6f33bcce40dc7402b3

Observation 635367b3-10af-48ea-a653-fb34d139c92a · outbound

This paper cites On the conformal volume of 2-tori.

On Berger's Isoperimetric Problem On the conformal volume of 2-tori

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:31.541604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:31.541604Z digest=sha256:2992ff2417314886e1944a97efc7397a72f7d15a161145e370d0a2da86686680

Observation 40856388-98b7-46c9-883c-93ccf48a68b7 · outbound

This paper cites 4, 667--690.

On Berger's Isoperimetric Problem 4, 667--690

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:35.184111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.592030Z digest=sha256:cd23348f3cdece1526fee341a2fd4282aaa00cd06f2e38b3dceab7b10b14229e

Observation 8492e16e-0f4c-43a5-8e10-72da82ceff01 · outbound

This paper cites an unresolved cited work.

On Berger's Isoperimetric Problem Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:37:34.983548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.670070Z digest=sha256:5e0dcff6895d80ab3a6fdf4aac31ca183e36d727ea717c8af2d084da0bb27b24

Observation 72e2e172-605d-454a-904a-2e472741c9d5 · outbound

This paper cites an unresolved cited work.

On Berger's Isoperimetric Problem Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:37:34.761548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.743841Z digest=sha256:68376f840d8917ae6fea9907616613700a005858a7af9bd97f15cfbf5fbef15c

Observation e6fd4101-af47-4872-b3be-ed3f2452fb91 · outbound

This paper cites 5, 1611--1618.

On Berger's Isoperimetric Problem 5, 1611--1618

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:34.505699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.817587Z digest=sha256:0c08f3832cf5334a3730e8d8871f215f0142d4f41046e486d1d65122c10b9f73

Observation cace1a4f-7c6e-4e9d-bd52-06ed244d9afc · outbound

This paper cites an unresolved cited work.

On Berger's Isoperimetric Problem Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:37:34.336812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.896669Z digest=sha256:09f130b44ea14cda521e3b2dbf380a1273567dc3ca1cdda127ba05b2f088ab3b

Observation 8ada6060-218f-41af-8631-ef001489ca39 · outbound

This paper cites an unresolved cited work.

On Berger's Isoperimetric Problem Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:37:34.130325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.969600Z digest=sha256:dad906557f3afc4e0c17abb8689758e10742370a3ae12c3f78dc8011095cefd5

Observation c6eccdaf-0304-4c93-8ab5-c9c12a09e18c · outbound

This paper cites 63, 3967--3985.

On Berger's Isoperimetric Problem 63, 3967--3985

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:33.954849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.038928Z digest=sha256:0e0a1f13828acfcc8b3ca7f2e7d87b104294c1f09e5edd85e0d41e5734d6295c

Observation d7cbe6bc-e762-4d31-8104-7c56928e8bd5 · outbound

This paper cites 2, 381--400.

On Berger's Isoperimetric Problem 2, 381--400

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:33.688733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.092850Z digest=sha256:c55516cb6bf4f54be0f7788f3d2d71210a38bf366586ff5e8ca491589e750e90

Observation 6eb409f4-ee6a-4c81-bd2b-000a911d5bfd · outbound

This paper cites 2, 269--291.

On Berger's Isoperimetric Problem 2, 269--291

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:33.494956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.193641Z digest=sha256:79492190e88d2340d7be75e3105a47a4b0e0e35148d7eb37c2d79d13e63be7d0

Observation 611bd271-f1ac-474a-9bfe-56f06b14d03f · outbound

This paper cites an unresolved cited work.

On Berger's Isoperimetric Problem Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:37:33.321131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.295559Z digest=sha256:55373fed755fa7a28412ed558ed511e2d4eab331e44824db57156b192d591117

Observation 162cb8fb-7b78-4981-908c-e9e4fdb0809b · outbound

This paper cites an unresolved cited work.

On Berger's Isoperimetric Problem Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:37:33.137252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.407063Z digest=sha256:12ab0254ca4ef7fab3cc8b8a1945901d2c845974459beb3ffa848cba2de2aa7a

Observation c7eddf7a-9483-4743-bc19-4ec921c2c27a · outbound

This paper cites 1, 84--98.

On Berger's Isoperimetric Problem 1, 84--98

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:32.956570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.480779Z digest=sha256:672e84197c2617816c2e715701f6638e3e0c0592dd42509f5439643fe91ed7e2

Observation eb966b04-d202-40fa-a071-8b0aa10014aa · outbound

This paper cites 102, Princeton University Press, 1982.

On Berger's Isoperimetric Problem 102, Princeton University Press, 1982

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:32.781655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.566802Z digest=sha256:a56402970e001660c11f7f5df41e32720b2a2e3653e64b945b60b47e70dc78ae

Pith citing papers

No inbound Pith citation observations are available.