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Paper Citation Record · LEDGER

On Berger's Isoperimetric Problem

As of 22 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.502663Z digest=sha256:06423415ed4207decb618ca850481856afd336d1f76b0bab6eda8ee4f9aa1d4c

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=sha256:01fd042028c0c325eb18a48751c0763c114ed7407bd472179f6002c64a902f99

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.592030Z digest=sha256:58d302a21dc0763653a84da070a0eafda9621a46c5c7ee75bf4533591dfb13bd

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.670070Z digest=sha256:a471fb6e30b8d37e1087dc88e5f0aa4b5de0b6ae6d73a35e8ff48a1d67f66e17

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.743841Z digest=sha256:6cf3576d20f4f800a3a637ac5e7a0c110a0e3836a3a6353c3beb6a14ae3281a1

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.817587Z digest=sha256:f5c3b2ffda80a065f4beee7c4ef101d08a03005309a339fe61ef2562f6a7ccf5

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.896669Z digest=sha256:cfd36df9d0d47af381ff0c65dea1f58b23fd1f02ae69d9087f268196a0e90f63

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:31.969600Z digest=sha256:fc8e87c515942c1afb04ea1ba175df04a3cdbff15035b09e06bac4467cff0442

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.038928Z digest=sha256:047c28b403aa3af58fda7896358efd62619dff364bdfc8f306b8ee84e96127a5

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.092850Z digest=sha256:4c9e78a25ff284d70a2a00590d0d11d5c555553b7564e2d18ee5221325a18b8e

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.193641Z digest=sha256:7bd4364101154a477a8215e7ff5cb7ef4437913eae4bb0962cb593d89bbf7e77

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.295559Z digest=sha256:8c902a959154721fc337c1d884112d94fa0890297c27be44c4726287148e2e15

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.407063Z digest=sha256:50073acb0ec9f70624b8297c7c322d8427e4ce7ba666f8c8f3af009292bf87b3

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.480779Z digest=sha256:9d1adf01d5812b4c9df09dae48e0fced4ffcaeac58bfa414de7044cff70d8145

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:37:32.566802Z digest=sha256:b1078d7ce73bdac0caa4c0ce087276dfc96c7bb3267ce54238486b2cab29d14c

Pith citing papers

No inbound Pith citation observations are available.