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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=sha256:530ffd7bc21dc93187f445e796528b50f941d1a72b57e71ac64e0663b3cf45ed

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=sha256:53ed9926c17168a70e45320f13028b4a85105f3af69109f908183f6c24f3631b

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=sha256:4253b9aac22df7d195ee1f3c5a13642039f8580e4a324282867e98595efca490

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=sha256:1aaf627c8db02826c573a7059624f547cd6e3fc4fd5ee757b9c2d4d67424181a

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=sha256:3c9b91a7ffe4f931204bc31a7cb083fc14d6cfde5193529119633e41bb441805

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:d17eb45dadda03ec9f4cfbe0ee5b6607001dce323fdb6a5e365cbab25f2a2941

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=sha256:9eda54ba3355fcd25ccad4eef966aad6741723c25b93895f16757dad7cc5e05d

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=sha256:26cbcc9a25e2c55f1d043bff836a2f0b11d82271ebae331d6f4e6052a6b800e8

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=sha256:1bf03578f13102b3714031d9cf777a9e4c950798b5a84a7ad1c491c51d576d32

Pith citing papers

No inbound Pith citation observations are available.