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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 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:1f10bee7088eeebea38d535dd23985734914df9c0ef63d0488d5dd535e9433c4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:88ee2ada7f39c9251afd3487ad617f1ffc064bdecc87374746d3f1e2505a5e63

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:02232a872cffe992ede221f21cbf0907fee2c9c564a83492d60b546af74bfb80

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:abcc8dc77ad5ef51b5713f74778cc5d9561c4e88f12c21431c1e502309275e5b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:be9605733c4a49f931526db0c698657b4e15ae94082b17d633ae84e299c70daf

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:c20a5d65d34c628211f5d069bb53894bed398d60bf5f83c75e7070873799fbdb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:e99de58a6d04aa145d5658603914c68036c27e1edd454743db6fdffa39d5a784

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:a03a7cc49d63af6c869bc43f65c12980512daf5eeeec0d47d37813d364d1976d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:41174d9c525d9483ca4997507da690223853e24f1a9349e84fc73762036999ce

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:8de480ca3f300aad32ee4abf2293acbc64db25e33c9b5f32003895502ec51141

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:80a671171c6aa450e0620f4f6c3c60f68a73a5f95c68c2b2bf1306de8372bb1f

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=sha256:8dad519ec5aee422ebebddc3897d95cf2bcbfbe5de3eceba4616ed1980f6a7d9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T00:52:33.891299Z digest=sha256:dc14546e38ea1998f5b613d65603c7f04f7dbb24325716c13c2c3852dfd5c5bf

Pith citing papers

No inbound Pith citation observations are available.