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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 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:fd6751c2cd0b69eb157b32f91dfb73fe82699853cbf4c74abaa67d00d10ef05b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:0b72182d502bb3143b4e7580935266d4ce3949d88aed1e72a0c2f3a8e1a07672

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:1a32560ee171ca732e9712636eaef2d8d43a7dc6ef7a6a375c7ad24561fce8ad

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:3fe8b51ce9e805e5af6da63bcdf7226b596c1133d213d8ed3c93222980965139

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:ad7cb2b6fb3067e2983979480f9d02d8dc8755de6055ae98e192ff29f5963507

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:c44e85def9878a5f3701031810e79af240f57f7d1ee2b2286de24d30161aad09

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:088d420d92a7d2baaa9271154f5d34c0a58ac5655aed10849398883cfba4a3c5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:353cf1da4cf392c5245e0da71a3dfc2ba7a7b9a1a40b86e87b2cd9ee1b4cc4b5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:a2a596ce9e11745a0a3f508308386db2d0179c6f733de588666cc90797951906

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:32e634a7206346367d015b9c314bb67a59b86b57e115ef59858bd44c887ee293

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:8a1a218cba56a095d9593eb208b73dd6cabf2ea18cdfbe70fc6df91254374241

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:ad61d2603457e286c5283d56a3c162fa2a2aeb691ca3bea0e02ee1e99b02ec6a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:d5ef66a1e95bc06e3fbdd6a637949c4266e1b4ff7935db9987c12f4aaf4bc36c

Pith citing papers

No inbound Pith citation observations are available.