Pith. sign in

Paper Citation Record · LEDGER

Bounds for standard $L$-functions

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2109.15230.

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

pith.paper-citation-record.v1
2109.15230 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:42:25.294247Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

1
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 3d558331-f507-4f33-81df-233ac3cbe007 · inbound

Moments of $L$-functions via a relative trace formula cites this paper.

Moments of $L$-functions via a relative trace formula Bounds for standard $L$-functions

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-06-11T02:08:30.115501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-24T07:04:05.600518Z digest=sha256:e6f0e85edb68093e4b504d2474e9b86f43cd74dac112d513b0e51e703a91c346

Observation b9dae96c-9b5a-45b5-957b-2dbfbc4edf52 · inbound

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions cites this paper.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Bounds for standard $L$-functions

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-11T14:20:13.204168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:20:13.204168Z digest=sha256:e71d5ca3da49a422d7c28931c93b91acd03fe6a6ece357fa3e50589e83294706

Observation 229ed441-0130-41fc-a30d-25edeecec6b1 · inbound

On the spectral aspect density hypothesis and application cites this paper.

On the spectral aspect density hypothesis and application Bounds for standard $L$-functions

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-16T12:42:25.294247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:42:25.294247Z digest=sha256:105db632831a9517da090c7d7d97d9e007962a9d22b18c969b41ee7e49aa8d35

Observation 465599f2-85d6-4663-b61c-77bec19c27c7 · inbound

Uniform subconvexity bounds for $GL(2)\times GL(2)$ $L$-functions in the spectral aspect cites this paper.

Uniform subconvexity bounds for $GL(2)\times GL(2)$ $L$-functions in the spectral aspect Bounds for standard $L$-functions

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-05T04:51:08.400705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T04:51:08.400705Z digest=sha256:f13df3620d6f482c6f1af3f25b5a6a85c1d0a6298c1bfb53664fc3fd34651d9d

Observation dc4f6b49-040c-4875-835b-b9d6312f0247 · inbound

Average shifted convolution sum for $GL(d_1)\times GL(d_2)$ cites this paper.

Average shifted convolution sum for $GL(d_1)\times GL(d_2)$ Bounds for standard $L$-functions

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-06-11T02:08:30.115501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-17T04:20:38.169115Z digest=sha256:77eb327c75856a717fb093d16719a43959f2a3c415c50bfe2c182772db7ca505

Observation d2611cb9-4f14-4232-b248-48ea3bbb0290 · inbound

A connection between low-lying zeros and central values of $L$-functions cites this paper.

A connection between low-lying zeros and central values of $L$-functions Bounds for standard $L$-functions

Reference 259

Resolution
verified exact
arxiv_id, observed 2026-06-11T02:08:30.115501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-14T19:45:08.006242Z digest=sha256:303fd9290b14f630c701fe8e45d3c2e5a68b9ff72d59713f7d90166908945611

Observation 57daf67d-33e9-423b-b1aa-de8d0144195b · inbound

Squarefree numbers in short intervals: explicit and formalized cites this paper.

Squarefree numbers in short intervals: explicit and formalized Bounds for standard $L$-functions

Reference 145

Resolution
unresolved
no resolver link, observed 2026-08-10T22:35:33.848169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.848169Z digest=sha256:2dae5a7720e0771caf172084e554a44e1bd551df1576c9ecca962d1f84845ead