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Paper Citation Record · LEDGER

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

As of 11 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 2026-08-11T06:34:44.6726+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.

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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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:09.573577Z digest=sha256:03f95d4f8aafea524745f7f5cafc159d7f0e729c866bfecd5b6e388f5efafe60

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:09.638010Z digest=sha256:e726c6071da09c42383d3a47a3a71bfa9515b2f528e37175b3e2e831d50902a3

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:09.752847Z digest=sha256:da2ccbd7757bb1a5ee048431b181818c40c750adde6143f681ca990abb9fe38d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:09.861939Z digest=sha256:71a78391fb3a3fe3473dddc193e32da1506db68ec17d60ab94056bad1181b330

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:09.946092Z digest=sha256:935184d519c02d89125577bade347099184a905f548b2ed78b01124fafaab11d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:10.038166Z digest=sha256:33c4fbe37c72864c6e87d880b922ac8bcb062cd56bcc0cf4e280ff9f38dcd568

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:10.097523Z digest=sha256:3d8a189e3c8ecd13af620ba357baacf5c0465cad2a1bae52cf0eea4b1222e615

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:10.202177Z digest=sha256:0f3d00a2a0bfc1919edd421157faf5399e3d6b22a513fd014e9717ff04bb557c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:10.291279Z digest=sha256:b3ecbb44ed01a91f78f6d0ee5789a59d2da95f5aecec7d03b9137cb3ba8e04c7

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 2026-08-11T06:34:44.6726+00:00.

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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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:10.466929Z digest=sha256:793fa4a7a761fbb136c3b2992f4b56217c9b8dbcf37c9e0cd4360177a276a246

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:10.542163Z digest=sha256:24574748e2e21e75bfee59e4612ac1d28a0b974b88aec52ecf17edccbf7bfae3

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:10.647642Z digest=sha256:f102b8d95deec2bf9fff05aa19c5fcfe5c78012392d4f9f03360be248decbfec

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:10.720895Z digest=sha256:25b71a4068c3d31d278c033c4240d680759a56772c09d4f5790cb155f2ce5cfa

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:10.797253Z digest=sha256:1cba9ea728bfdc9c84284375ff56bf17733b73ec858557e267adabb66375ea4a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:10.889242Z digest=sha256:a6122481a1475665ec9d587d791c5e088c6723d496fde7dfc37b75b25f8afd96

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:10.961239Z digest=sha256:e28869674e979519abbceaf24c16b0f702b00e42528c3ed536db3e822545242b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:33.586791Z digest=sha256:90db8c5836d23361069f7e49762eef260369c0060bd7571d11a03acc09652853

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:33.667431Z digest=sha256:5c370b02ec5e41a2c9eb65a99887017db6739feed04b58df26a05b9a70299371

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:33.734605Z digest=sha256:d19119917b5397398722c334aef7dc2e2a36c83e7e2f7c26be0674932c572af0

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:33.816979Z digest=sha256:38ad58bb38992b7bb9ea9b035589feb73cd44de4dabe987b45fe061852e71f05

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:33.826268Z digest=sha256:1f514328fb9fde376e7d7801901ca8e73fcc4568fe20ef485a26db762e174ec8

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:33.845517Z digest=sha256:808726fd93b473e2244f71ffbaf059ed18a544768e4f29266ed063142f21bb2f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:33.911990Z digest=sha256:f56f5ffd78129f1963154f81bf40541e994dc64149fc0a82ee42f4acbab4f9bd

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:33.987035Z digest=sha256:3d4c41ac95c26462aef67e1feb8346a51c33219cb96468fbbbc8a58a06d77109

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:34.073282Z digest=sha256:72a1f875dbfa80d74c88f52022b0d67389c4fc2b26248495dd6337d60b50d4ec

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:34.134288Z digest=sha256:db4e0e390657f116db9ef6ca0dbf94ce2d361fc43776e1f3d3d9f9e002036377

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:34.232354Z digest=sha256:ef4477cc7b21bf8a72433635b08786ec2a4f54e9d92a27ed058cfb69f7c4bdc3

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:34.393896Z digest=sha256:7f921d3310d3cc814f1e5e99a42718acfbd6da30faeff2041ba8d73fa9190fcd

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T22:22:34.487228Z digest=sha256:0e3d82cab9fbba8e5eb8c7e531982494b17e1bc92ffba414d86704effa2b26f2

Pith citing papers

No inbound Pith citation observations are available.