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Paper Citation Record · LEDGER

The doubling metric and doubling measures

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:1908.07566.

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

pith.paper-citation-record.v1
1908.07566 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:33:13.652292Z

measured 13 of 13 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

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f8c692f6-78a6-451f-a733-8470c4296e72 · outbound

This paper cites an unresolved cited work.

The doubling metric and doubling measures Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:33:13.889383Z

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 74cd563c-666a-4c05-a9d1-dbf00078b2fc · outbound

This paper cites The role of the Pompeiu-Hausdorff metric in fixed point theory.

The doubling metric and doubling measures The role of the Pompeiu-Hausdorff metric in fixed point theory

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:13.876078Z

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 1387576b-5f6b-4a44-930c-9be57f15beed · outbound

This paper cites On Cantor sets and doubling measures.

The doubling metric and doubling measures On Cantor sets and doubling measures

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:13.862959Z

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 2a4d583b-07b5-4b7b-9b08-9930f2c073f1 · outbound

This paper cites Fractured fractals and broken dreams.

The doubling metric and doubling measures Fractured fractals and broken dreams

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:13.846905Z

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 2235e1cf-d31b-4ba8-90d7-08164a57226b · outbound

This paper cites Lectures on analysis on metric spaces.

The doubling metric and doubling measures Lectures on analysis on metric spaces

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:13.830810Z

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 df34f969-b3a2-47dc-8798-4fec7e89687d · outbound

This paper cites Two problems on doubling measures.

The doubling metric and doubling measures Two problems on doubling measures

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:13.808199Z

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 bd0c10e9-3c5b-4a1e-b5f9-5becace2d965 · outbound

This paper cites Lectures on quasiconformal and quasisymmetric mappings.

The doubling metric and doubling measures Lectures on quasiconformal and quasisymmetric mappings

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:13.791204Z

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 72a13ee1-9ab6-4c42-9a39-346f14e643fe · outbound

This paper cites Every complete doubl ing metric space car- ries a doubling measure.

The doubling metric and doubling measures Every complete doubl ing metric space car- ries a doubling measure

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:13.770510Z

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=2026-08-14T12:33:13.624738Z digest=sha256:7899c6dea0bc85be8c888dc48a40b12f3edbd67db3de93eec7016ea7f4a7fd97

Observation 4ced3b8e-4f79-4725-91b9-cd38dc91d630 · outbound

This paper cites an unresolved cited work.

The doubling metric and doubling measures Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:33:13.753752Z

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 b00a7070-fcba-460a-92a9-a7ebe54ec194 · outbound

This paper cites Thin and f at sets for doubling mea- sures in metric spaces.

The doubling metric and doubling measures Thin and f at sets for doubling mea- sures in metric spaces

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:13.739330Z

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 59cbf666-cc08-4b55-b553-e732ccb6c3c9 · outbound

This paper cites Remarks on the nonexistence of doubling m easures.

The doubling metric and doubling measures Remarks on the nonexistence of doubling m easures

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:13.724304Z

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 706fb891-5df0-4d81-bac5-8441b526cf77 · outbound

This paper cites Zaj´ ıˇ cek.

The doubling metric and doubling measures Zaj´ ıˇ cek

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:13.706993Z

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=2026-08-14T12:33:13.647787Z digest=sha256:d46be9a28266b0cd22692e11b70642e7bb8c3afdc601585a61a22f91352d8f7f

Observation d3033795-ef21-4a57-9457-5202a099ea17 · outbound

This paper cites Zaj´ ıˇ cek.

The doubling metric and doubling measures Zaj´ ıˇ cek

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:13.691690Z

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.