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Paper Citation Record · LEDGER

An improved large sieve for quadratic characters via Hooley neutralisers and its applications

As of 22 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2506.22667.

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

pith.paper-citation-record.v1
2506.22667 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:22:34.487228Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

31 of 31 outbound references displayed

  • verified exact8
  • verified fuzzy13
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7196fae2-c379-4397-b393-bdce5569daad · outbound

This paper cites A positive proportion of plane cubics fail the Hasse principle.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications A positive proportion of plane cubics fail the Hasse principle

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T22:22:09.531399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:22:09.531399Z digest=sha256:bd2e2416e61d10f9b6750e180a1d75a1e46869dd7a5997e76cea055bbf2d250c

Observation 811c0b05-5898-41ec-9a05-694036c98d46 · outbound

This paper cites an unresolved cited work.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:22:40.842698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:09.573577Z digest=sha256:042edcede3dce8087ecf486124443988b69af52e70dd57fdd74ee28dd86d7b62

Observation 4d2db956-b1c7-4ea2-9dd4-da3b5d9a3270 · outbound

This paper cites an unresolved cited work.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:22:40.672975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:09.638010Z digest=sha256:ec0bd63c2920c7f23e3697d56dd3b7149fb6f17552f796178486c0a18ed79a04

Observation 1e3e5587-5baa-40ae-bba0-c6ac7a8ad358 · outbound

This paper cites an unresolved cited work.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:22:40.526365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:09.752847Z digest=sha256:27076581dd689dff7db22ee7d5ea4eba76789c7db1870ac06a8718794e1e0d79

Observation dfff4ca5-e277-47ab-bd0c-1ed01104ad52 · outbound

This paper cites an unresolved cited work.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Unresolved cited work

Reference 5

Resolution
verified exact
doi, observed 2026-08-06T22:22:37.102007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:09.861939Z digest=sha256:e1e387465c26a9d2ebfafb415d28f6731c5e06e30d4e691f5519f5649f4d7da8

Observation 0ea5b2d9-142c-454f-94de-1514ee8e1bbb · outbound

This paper cites Paucity of rational points on fibrations with multiple fibres.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Paucity of rational points on fibrations with multiple fibres

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:22:37.620737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:09.946092Z digest=sha256:ec3475dae435d730ed20508fccb9f467db13d27856ebc74bf76c725312cd15ea

Observation c370d3f1-9aaa-4d7b-945d-45b7051543c6 · outbound

This paper cites Local solubility in generalised Ch\^atelet varieties.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Local solubility in generalised Ch\^atelet varieties

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:22:37.534174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:10.038166Z digest=sha256:bbe34a186118c6054637525445a8546b7dcb07d78ea69d356e38ae7f9e369d22

Observation 28465d12-60ac-4339-bc88-e77d40cb5bf9 · outbound

This paper cites an unresolved cited work.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:22:40.350990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:10.097523Z digest=sha256:e94202bbba74572b15184bb6f51fde8bd4d088a22b0b69616d73d3b962d6d168

Observation f6886072-4b88-4e28-b6ed-0f481d78a35f · outbound

This paper cites Fouvry, J.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Fouvry, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:40.163105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:10.202177Z digest=sha256:ac7dc584c2ff1e4698aa452e291126b8579865f93aeeb736e7b0e71bdc94719e

Observation 234af80f-2b7d-4540-8696-489cb03dcf8d · outbound

This paper cites Franke, Y.I.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Franke, Y.I

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:39.989255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:10.291279Z digest=sha256:747953682b7605117f35d679fda68c1240d916c2b7d3d212a8af34a62a2c990a

Observation af94d435-1e88-4db7-ae80-be59fc4b53c7 · outbound

This paper cites Friedlander, H.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Friedlander, H

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:39.810089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:10.382959Z digest=sha256:5e7c7820d8d0d517a2587f144d854e94157eb147d879435a8d89ef7f27055b43

Observation 63cfae21-4a0a-4ed1-a911-f296cf07bb91 · outbound

This paper cites an unresolved cited work.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:22:39.616699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:10.466929Z digest=sha256:01a3585f558b4f392c57beabf236498314a3847083099d5b430cee1b552a2ee9

Observation 267ff355-644d-4bb4-bda1-5a566c2304de · outbound

This paper cites an unresolved cited work.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:22:39.454192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:10.542163Z digest=sha256:8f03a082baa529d4caf960bbc19998f804da2f05c5418095ad9559bbd2aacce6

Observation b41e5c0f-78c1-4e0b-bd0d-b36686d79d94 · outbound

This paper cites an unresolved cited work.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:22:39.243638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:10.647642Z digest=sha256:abf841a2f4ea5b92bdd3413965daec863afeec42c5cd69ee363dbf6248cbbe0b

Observation 40c7776f-34a4-4f0c-b252-92a61502084d · outbound

This paper cites Hooley,On ternary quadratic forms that represent zero, Glasgow Math.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Hooley,On ternary quadratic forms that represent zero, Glasgow Math

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:39.093685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:10.720895Z digest=sha256:b8be5dabed60622ac81df02058d564ba1aba18bc39b1b0f7cd1b4e2021a9bb72

Observation 0abb08df-d910-4a99-9fff-0852a2e70881 · outbound

This paper cites an unresolved cited work.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:22:38.932250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:10.797253Z digest=sha256:e87af3b60deb919870d21377f57fef642eb342b91efbb125ffcd048491712523

Observation 789b889d-c277-4c12-8726-5c530e6a1c2e · outbound

This paper cites Iwaniec, E.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Iwaniec, E

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:38.733452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:10.889242Z digest=sha256:14d3dda3b1c7f72c3b40d88c8ab074b79d73e8817447a129b293463df5f193e4

Observation 1a801e2f-a1d7-499a-ad74-e04accf88d8a · outbound

This paper cites Local solubility of generalised Fermat equations.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Local solubility of generalised Fermat equations

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:22:37.441304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:10.961239Z digest=sha256:8ca99d6b72bca55d01e29a8fb7623c5aa837da92b481ccaffbec2f20e047552f

Observation 76e0b448-5312-43a6-90ec-20c9fd8e9ee4 · outbound

This paper cites Loughran, The number of varieties in a family which contain a rational point, J.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Loughran, The number of varieties in a family which contain a rational point, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:38.577766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:33.586791Z digest=sha256:f4676c205d9143576afdd1299f808a767e66b88b9971954c214781fe70dd71b9

Observation 027c0791-acb4-4b7b-8b02-50324fc417c9 · outbound

This paper cites The leading constant for rational points in families.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications The leading constant for rational points in families

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:22:37.355391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:33.667431Z digest=sha256:6efbc7dedd2c60076014d86ecbac20e0e40f1c028b448bc0e9723624664d209d

Observation cb0f6420-0b81-41aa-b069-26dcdfb3b164 · outbound

This paper cites Loughran, A.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Loughran, A

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:38.404975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:33.734605Z digest=sha256:3e4361aaa22b154a02cebd6b15354e3d3debdb013d1a6939d73b2992179db930

Observation c7bf01e4-29da-4176-81be-00e49bb60c46 · outbound

This paper cites Loughran, R.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Loughran, R

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:38.256257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:33.816979Z digest=sha256:857fe40212f1eecf611d890616d0e85d7481ab908a5b8c29d9da3f987882e486

Observation 7780ad3a-9773-4768-8822-966f740dc229 · outbound

This paper cites Peyre,Liberté et accumulation, Documenta Math.25, pp.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Peyre,Liberté et accumulation, Documenta Math.25, pp

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:38.122604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:33.826268Z digest=sha256:4b7404a54565e2f5f319f25be91c1a5a1a5cd82f32b60c8fe11d3574c6105931

Observation 48ea0634-4fd2-4bb2-9304-11523c8721f5 · outbound

This paper cites an unresolved cited work.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:22:38.008521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:33.845517Z digest=sha256:7693c119aeff28a8e03d3155bd1c4d7f71c8df15530e9bd551ade236037673c5

Observation 79a04994-f04f-4ab8-bcb0-ae329eb373fc · outbound

This paper cites , Tn)), C.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications , Tn)), C

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:37.933817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:33.911990Z digest=sha256:b5a37624fea51c3df0bd88e3e269fd4ea0096e0e68151de164ee47f5a5d59dc5

Observation b7822e1f-c9ab-4de0-a322-660f81ee6ce1 · outbound

This paper cites Shiu,A Brun-Titchmarsh theorem for multiplicative functions,J.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Shiu,A Brun-Titchmarsh theorem for multiplicative functions,J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:37.839820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:33.987035Z digest=sha256:8c86994c068ec72488ccd6ac0572345355633b0e9e3d2344056e7fe95c06cac9

Observation 47f308f8-20bf-4af6-85a0-342537a4593e · outbound

This paper cites Sofos,Serre’s problem on the density of isotropic fibres in conic bundles, Proc.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Sofos,Serre’s problem on the density of isotropic fibres in conic bundles, Proc

Reference 27

Resolution
verified exact
doi, observed 2026-08-06T22:22:36.904804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:34.073282Z digest=sha256:996bad5a60a415efcb825df288f9879bca18d4f52c4b72efa682c258cc12a4d3

Observation eb07b206-a4bf-4028-9731-8fcc668a1936 · outbound

This paper cites Sofos, E.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Sofos, E

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:37.780269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:34.134288Z digest=sha256:3b8dee7311117a76cb6cf60219c050f0f33040b1bb93e48cc034186fdc258e6f

Observation 5533e581-b5ed-4a55-9247-32a72d48d012 · outbound

This paper cites Soundararajan, Nonvanishing of Quadratic Dirichlet L-Functions at s = 1/2, Annals of Mathematics, 152(2), pp.447-488, (2000).

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Soundararajan, Nonvanishing of Quadratic Dirichlet L-Functions at s = 1/2, Annals of Mathematics, 152(2), pp.447-488, (2000)

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:22:37.704749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:34.232354Z digest=sha256:282d1ecc57d46f589d8dd4483415357eaeeb02cc8a79fb11a351913af1a9eed3

Observation 3f6f98a3-17d6-4725-9f1f-7f1cfe2b6490 · outbound

This paper cites Wilson, General bilinear forms in the Jacobi Symbol over hyperbolic regions, Monatsh.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Wilson, General bilinear forms in the Jacobi Symbol over hyperbolic regions, Monatsh

Reference 30

Resolution
verified exact
doi, observed 2026-08-06T22:22:34.668880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:34.393896Z digest=sha256:7a5cdb8b5e39811111bd00083f0ab9176a035c179a510fa5a6bdd7943ca4586a

Observation 87dfe5f8-19ca-44f2-aa4a-b68577617ed4 · outbound

This paper cites Asymptotics For Local Solubility Of Diagonal Quadrics Over A Split Quadric Surface.

An improved large sieve for quadratic characters via Hooley neutralisers and its applications Asymptotics For Local Solubility Of Diagonal Quadrics Over A Split Quadric Surface

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:22:37.282695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:22:34.487228Z digest=sha256:73c8779359733374727bde1d2ac2d1dcf21bbec82ab3a198a4f8b21d71f93546

Pith citing papers

No inbound Pith citation observations are available.