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Paper Citation Record · LEDGER

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$

As of 8 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2606.26440.

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

pith.paper-citation-record.v1
2606.26440 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T00:52:33.891299Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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 exact11
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8bde0a1f-d850-4c5f-8113-bca011508922 · outbound

This paper cites Abdel-Aty, A.Essam Radwan.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ Abdel-Aty, A.Essam Radwan

Reference 1

Resolution
malformed identifier
doi_truncated, observed 2026-06-26T00:58:48.136541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:772aec6acd743f02204fd8cbacc7f2f1a204935787ce04b68756d79242fe0356

Observation 360f28fd-e7cc-45fa-b894-9ac1252eee22 · outbound

This paper cites Hyperelliptic curves, the scanning map, and moments of families of quadratic L-functions.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ Hyperelliptic curves, the scanning map, and moments of families of quadratic L-functions

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-07T01:15:51.650986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:d2d3b1101b6543835f8582b1b69b44b54949b18fe229f7a03aca9ed829bf6116

Observation f2e8ebee-493f-43e8-8638-566d1637f696 · outbound

This paper cites Representation theory and homological stability.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ Representation theory and homological stability

Reference 3

Resolution
verified exact
doi, observed 2026-06-26T00:58:48.133768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:a9057a5b1dd90f43c086e96e5fef6f673eb9a83d5c6b1a2bc96a97b94d02b2c4

Observation f77afb4a-d5c3-42d1-8d78-b19854bc3a50 · outbound

This paper cites Deligne, La conjecture de Weil.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ Deligne, La conjecture de Weil

Reference 4

Resolution
verified exact
doi, observed 2026-06-26T00:58:48.128808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:604bb47bd2d7e06595668fd6a7be8d2449149d560665b17c36477c2f54adda88

Observation f30ecfcc-5eec-4ce9-aa45-94bdb61dd020 · outbound

This paper cites Homological stability for generalized Hurwitz spaces and Selmer groups in quadratic twist families over function fields.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ Homological stability for generalized Hurwitz spaces and Selmer groups in quadratic twist families over function fields

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-08T01:19:04.050834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:54d8046505298c5c67e7da1b62db253ce810a24e01cd5b04efd242d3dd4e118a

Observation 56506d2f-ff36-49be-9cb9-e9c692192237 · outbound

This paper cites org/abs/2601.01242.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ org/abs/2601.01242

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-04T16:09:57.283973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:02dbc8ecc65a4f0855e35aff1d6ce1a592d5091e357f05e144bc4d9e37a58cc1

Observation 5916d42d-9ded-4d23-b16e-2829084e316b · outbound

This paper cites and Venkatesh, Akshay and Westerland, Craig , TITLE =.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ and Venkatesh, Akshay and Westerland, Craig , TITLE =

Reference 7

Resolution
metadata mismatch
doi, observed 2026-06-26T00:58:48.139154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:4e65c60c1d2a9ba4d6edc7bc79f89460427ee2cbd6adc64449aca21a2fc596fc

Observation 334bb508-a884-4e43-8975-257e436984df · outbound

This paper cites Aq-deformation of a trivial symmetric group action.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ Aq-deformation of a trivial symmetric group action

Reference 8

Resolution
verified exact
doi, observed 2026-06-26T00:58:48.146810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:245614a4dd753b7f5369262fd3c3d7578e129f8a9732240b4b50ea9c62e0c123

Observation 17066e0a-7adb-45b6-ba22-473cb36f8e81 · outbound

This paper cites De residuis cubicis disquisitiones nonnullae analyticae.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ De residuis cubicis disquisitiones nonnullae analyticae

Reference 9

Resolution
verified exact
doi, observed 2026-06-26T00:58:48.141771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:b643e2a6db9669fff8d06376248dea0c4b97a84f214c9d23dc4f366b32e6af8f

Observation 63eaafe1-829a-4f76-af1f-b24a947e4514 · outbound

This paper cites Homological stability for.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ Homological stability for

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-04T16:09:57.275254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:1924cad84dea9132b6991aa7db435fda91e8449ee5e9eb7bd310eb9d70b3e579

Observation 6824b1e3-b2c4-4e58-a172-97420a3875de · outbound

This paper cites url:https://arxiv.org/abs/2410.22210.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ url:https://arxiv.org/abs/2410.22210

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-07-04T16:09:57.272682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:95b507583175ecced5502c4a588e154db0bcd770b94bf9d800a1d9d16d349bcc

Observation 78895bae-b669-4ef2-985f-e2bc12feef87 · outbound

This paper cites A predicted distribution for Galois groups of maximal unramified extensions.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ A predicted distribution for Galois groups of maximal unramified extensions

Reference 12

Resolution
verified exact
doi, observed 2026-06-26T00:58:48.131033Z

Source-reported events for the cited work

correction dated 2024-05-22. Source: crossref record 10.1007/s00222-024-01271-3->10.1007/s00222-024-01257-1:correction, observed 2026-07-11T03:07:33.350673+00:00. This notice travels one citation hop only.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:63723aaa1551ca3a1a58c2528f5e2d062149542d03dd0674fcbb291a0e670862

Observation 27c51bb7-5b64-44c6-b017-dfcea2d3282e · outbound

This paper cites Representation stability for pure braid group Milnor fibers.

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ Representation stability for pure braid group Milnor fibers

Reference 13

Resolution
verified exact
doi, observed 2026-06-26T00:58:48.144271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:1f586e46ced6e9e713e7cb192f949f37c6407d8dd08c067479f50382cde697ce

Pith citing papers

No inbound Pith citation observations are available.