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Paper Citation Record · LEDGER

On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume

As of 16 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:1908.07165.

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

pith.paper-citation-record.v1
1908.07165 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:35:36.620696Z

measured 9 of 9 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

9 of 9 outbound references displayed

  • verified exact1
  • verified fuzzy2
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation df1fc397-7b41-49b6-af59-2bd1a4435998 · outbound

This paper cites an unresolved cited work.

On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:36.749242Z

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=2026-08-14T12:35:36.589039Z digest=sha256:845a20a387215d6e8f359b53b6961d801422a4b81dd6ab91ead2533f070855e7

Observation bffc710c-13f3-4da1-8706-cfc444b8fda9 · outbound

This paper cites an unresolved cited work.

On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:36.737281Z

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=2026-08-14T12:35:36.593192Z digest=sha256:d2c68b4a8139be08777e45a34b088466de65c6fd6a256d524b395c5929a2ee4c

Observation c40cd7fd-9d91-4724-89d5-6803df4d2ea7 · outbound

This paper cites an unresolved cited work.

On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:36.724812Z

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=2026-08-14T12:35:36.597505Z digest=sha256:b7eeff7e2aef955d95a6d63b66233aa5e39b1c902aa34589b794029e75337f81

Observation 31fae4b4-54d9-4c69-a0f0-ca5b78a8b0ca · outbound

This paper cites Linnik's ergodic method and the distribution of integer points on spheres.

On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume Linnik's ergodic method and the distribution of integer points on spheres

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:35:36.651168Z

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=2026-08-14T12:35:36.601759Z digest=sha256:67a2864d66b725cf0a7093bda9f99d8f0f4ba309e2fa2cdb60870df24efc9ad5

Observation b551872f-9b56-461a-bb0e-700b7c9210af · outbound

This paper cites Einsiedler, R.

On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume Einsiedler, R

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:36.712934Z

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=2026-08-14T12:35:36.606322Z digest=sha256:f23274f39a473e14cbedf1761e781b86043564abee13be29e8e7b26c052a9261

Observation fec99ee0-fb20-41e0-a0f4-030c3ab15288 · outbound

This paper cites an unresolved cited work.

On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:36.700550Z

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=2026-08-14T12:35:36.610302Z digest=sha256:64f2e31f6bbc3aa906350b19cb698dd9d473eee90549b5bf07a1feba3735379f

Observation 378100e7-1762-434c-8823-4ebdb766cf02 · outbound

This paper cites an unresolved cited work.

On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:36.689379Z

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=2026-08-14T12:35:36.613845Z digest=sha256:cb1c570f752550f8a1faa79bfac67b4ad00f869f48196af862994d66719fc55b

Observation 97445374-b07a-4eec-9411-ac762e6411ae · outbound

This paper cites an unresolved cited work.

On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:36.676570Z

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=2026-08-14T12:35:36.617308Z digest=sha256:6af43cfd7ec3978886ad4952f392b12b2812b6d34833a6582fcb0255917565cc

Observation b20d7712-2e95-4d13-9452-c5a1cb2fe368 · outbound

This paper cites Sargent and U.

On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume Sargent and U

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:36.664117Z

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=2026-08-14T12:35:36.620696Z digest=sha256:f72296bcfcba398ea4c037a8896e901e6e3f2a24b5f3fb4a52ee032d3fa740c7

Pith citing papers

No inbound Pith citation observations are available.