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Paper Citation Record · LEDGER

Isoperimetric Inequality for Disconnected Regions

As of 16 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:1908.07697.

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

pith.paper-citation-record.v1
1908.07697 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:23:41.111080Z

measured 10 of 10 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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 37626807-3e8f-45f5-a91b-857d2abba53b · outbound

This paper cites Bezdek, Ein elementarer Beweis f¨ ur die isoperimetrische Ungleichung in der Euklidischen und hy- perbolischen Ebene, Ann.

Isoperimetric Inequality for Disconnected Regions Bezdek, Ein elementarer Beweis f¨ ur die isoperimetrische Ungleichung in der Euklidischen und hy- perbolischen Ebene, Ann

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:23:42.027326Z

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=pdf_text observed=2026-08-14T12:23:41.044567Z digest=sha256:94c1b8f9a42812959c8127a909f0c88c14052b240913ec3ea5f809c4d38b1c00

Observation 26d4cb1d-f321-410b-a8b6-b1a535b77599 · outbound

This paper cites Bieberbach, Uber eine Extremaleigenschaft des Kreises , Jber.

Isoperimetric Inequality for Disconnected Regions Bieberbach, Uber eine Extremaleigenschaft des Kreises , Jber

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:23:41.896362Z

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=pdf_text observed=2026-08-14T12:23:41.078633Z digest=sha256:90b6c0d42a50fdc6e7d14fcd987eb23520c58e6411891b49d255a38d35d3f3a8

Observation 83adce61-054f-4895-811c-cec9d4d5368d · outbound

This paper cites B¨ or¨ oczky, A.

Isoperimetric Inequality for Disconnected Regions B¨ or¨ oczky, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:23:41.743943Z

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=pdf_text observed=2026-08-14T12:23:41.083139Z digest=sha256:6d018d30e3a117156fc892d6f7a74d765b0c92c755620c37df0d0107a38a429a

Observation e928872f-02c5-4e9f-b52c-a6f94c16bbcc · outbound

This paper cites an unresolved cited work.

Isoperimetric Inequality for Disconnected Regions Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:23:41.732570Z

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=pdf_text observed=2026-08-14T12:23:41.086720Z digest=sha256:e2505ef9633322595844361d402bc863acf4f94d3e7d7f2eb347d33de7db3d6c

Observation 977cdb73-7a76-49df-963c-3f1c57b27d50 · outbound

This paper cites an unresolved cited work.

Isoperimetric Inequality for Disconnected Regions Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:23:41.584500Z

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=pdf_text observed=2026-08-14T12:23:41.090090Z digest=sha256:d7dd9353aa292c07122484cba8c5064eb67b5d46b907a265c1e854f590d02bc8

Observation 0979a930-4f19-4fe5-a2b9-e4ba38bc1767 · outbound

This paper cites Csik´ os, Z.

Isoperimetric Inequality for Disconnected Regions Csik´ os, Z

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:23:41.479056Z

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=pdf_text observed=2026-08-14T12:23:41.093584Z digest=sha256:4f1f1f972bcf3f9120165b39175098e1bb1dadeecff6090b335c8b3d3de4f627

Observation cb4b6076-4244-45a5-a6a0-5515d86f0807 · outbound

This paper cites an unresolved cited work.

Isoperimetric Inequality for Disconnected Regions Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:23:41.468630Z

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=pdf_text observed=2026-08-14T12:23:41.098467Z digest=sha256:fc29017bee6b45f8faab03364e34de33d80283e17a48f8e2bf32628554222491

Observation 71258c8f-c108-4c3c-950b-0a7e65df969c · outbound

This paper cites Fejes T´ oth,Regular Figures, Pergamon Press, 1964.

Isoperimetric Inequality for Disconnected Regions Fejes T´ oth,Regular Figures, Pergamon Press, 1964

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:23:41.456893Z

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=pdf_text observed=2026-08-14T12:23:41.103819Z digest=sha256:24f0a9ac8626f41bcd1007e3cff1fbc8f9a1e86546c1f510e2c1a1a34f6e4fe1

Observation f5e1fbe8-5342-438c-b463-45dcd74ba259 · outbound

This paper cites O’Neill, Elementary Differential Geometry, Revised 2nd edition , Elsevier.

Isoperimetric Inequality for Disconnected Regions O’Neill, Elementary Differential Geometry, Revised 2nd edition , Elsevier

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:23:41.446648Z

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=pdf_text observed=2026-08-14T12:23:41.107365Z digest=sha256:287a72c273e076138a7f35e5f593ee7351427439190d4b142894b58922eb5b5c

Observation ccf417c1-8699-4b09-a814-1c58acd88472 · outbound

This paper cites an unresolved cited work.

Isoperimetric Inequality for Disconnected Regions Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:23:41.285898Z

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=pdf_text observed=2026-08-14T12:23:41.111080Z digest=sha256:71a2e95431f18d7da471c1f0ff565d94079a9ff320f1fe7a44b9b52a7ea84784

Pith citing papers

No inbound Pith citation observations are available.