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Paper Citation Record · LEDGER

On variants of Chowla's conjecture

As of 11 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2501.10962.

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

pith.paper-citation-record.v1
2501.10962 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:57:25.011663Z

measured 22 of 22 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

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e5d02553-2911-4d7e-8d1e-6a2de2408fca · outbound

This paper cites an unresolved cited work.

On variants of Chowla's conjecture Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:57:25.480557Z

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=2026-08-10T18:57:24.895581Z digest=sha256:02fb084d3b40840d5229129360b159fb62cffad343ba006f29c6f27b5cee11fb

Observation 14d95648-06b8-4d53-a3a7-6dd334475186 · outbound

This paper cites Siegel zeros and sarnak’s conjecture, 2021.

On variants of Chowla's conjecture Siegel zeros and sarnak’s conjecture, 2021

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.461697Z

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=2026-08-10T18:57:24.901987Z digest=sha256:c50537a07a8b7c894d42dc04cd8d8b229662529ff91084c12fe385d7fa84cd67

Observation 60a3f33e-48ac-4407-9dc2-0164344f123e · outbound

This paper cites an unresolved cited work.

On variants of Chowla's conjecture Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:57:25.443196Z

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=2026-08-10T18:57:24.907940Z digest=sha256:f25f8ac7955ef96843adeb4293a3805a4dbba7a25495f80101d742d2bfdf4d23

Observation aa1a9e36-b1ca-4706-987f-653219ac9103 · outbound

This paper cites On the convolution of the Liouville function under the existence of Siegel zeros.

On variants of Chowla's conjecture On the convolution of the Liouville function under the existence of Siegel zeros

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.426135Z

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=2026-08-10T18:57:24.913581Z digest=sha256:dc39d177f866e574bb3aa2753a9aa5018aeb00d11c855a3645b13ceb47eb184d

Observation 88576507-622b-4df9-960e-32715c675e10 · outbound

This paper cites Germ´ an and I.

On variants of Chowla's conjecture Germ´ an and I

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.409258Z

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=2026-08-10T18:57:24.919195Z digest=sha256:46e3595df989d2216b858ad30af41cd2b85f2aa34b5c2ba78f9faf8099c85621

Observation 7a1e0256-39b0-42c7-8d8a-985ea3b8d9d2 · outbound

This paper cites Soundararajan.

On variants of Chowla's conjecture Soundararajan

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.389859Z

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=2026-08-10T18:57:24.924841Z digest=sha256:d9004016baace59cb74bc03a38affe36f99066fe3d1afb91a9668d0ff2828c83

Observation 38ca192f-bcc4-4518-8b73-cfdbdb0a28db · outbound

This paper cites Expansion, divisibility and parity, 2021.

On variants of Chowla's conjecture Expansion, divisibility and parity, 2021

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.367464Z

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=2026-08-10T18:57:24.930849Z digest=sha256:7adde95badd08b190202e38cac14831cdd35dbd397438ed762ef8b4fbea69a97

Observation c8490c44-916b-478f-86e8-13f20a03e36f · outbound

This paper cites Collection closed under sym- metric difference and translation.

On variants of Chowla's conjecture Collection closed under sym- metric difference and translation

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.345007Z

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=2026-08-10T18:57:24.935728Z digest=sha256:c69cf268c11bc0a4b369bbf1d10013e49047abbd5c8bf671f2592d47a418d4fa

Observation f7668d48-8934-40e1-a3f5-8f10b38dfaa5 · outbound

This paper cites The chowla conjecture and landau-siegel zeroes, 2024.

On variants of Chowla's conjecture The chowla conjecture and landau-siegel zeroes, 2024

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.319947Z

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=2026-08-10T18:57:24.941060Z digest=sha256:c8335f52c35bed435239c8b570321cd65c5d748050330bebcb3bad20a6d9b64c

Observation 57e87d3d-1cc3-4dde-b010-896f4befd25f · outbound

This paper cites Correlations of multiplicative functions and applic ations.

On variants of Chowla's conjecture Correlations of multiplicative functions and applic ations

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.302984Z

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=2026-08-10T18:57:24.945985Z digest=sha256:2c1bd3a3c8bbe8b71ae2ed600a505ce9b4373b567cf02afc9410050de08f9ea2

Observation e3721aa4-b77e-4a8b-8f8c-783d12899de8 · outbound

This paper cites Multiplicative functionsin short intervals.

On variants of Chowla's conjecture Multiplicative functionsin short intervals

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.284503Z

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=2026-08-10T18:57:24.951240Z digest=sha256:a329fe538d4990794f072033872396080ad921e75f06e1c64d8cc68c3a1872b2

Observation 1f2dd3db-299a-4271-907a-f9276b7da3f1 · outbound

This paper cites An averaged form of Chowla’s conjecture.

On variants of Chowla's conjecture An averaged form of Chowla’s conjecture

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.267027Z

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=2026-08-10T18:57:24.956042Z digest=sha256:92f25aec015819206b6ac8ed8f562206ed8785bb504a1561c7a64286d04bfd75

Observation bc741b1f-4983-42de-b2ab-fdd8e8c6bf45 · outbound

This paper cites Higher uniformity of bounded multiplicative functions in short intervals on av erage.

On variants of Chowla's conjecture Higher uniformity of bounded multiplicative functions in short intervals on av erage

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.244083Z

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=2026-08-10T18:57:24.961389Z digest=sha256:a751321768da77496a1ce6f9f7fcbd3a237e0d5523b0a155feeb1f40ae461561

Observation a36640f3-4e1d-450c-989a-41f317001bc1 · outbound

This paper cites Improved bounds for the two-point logarithmicchowla conjecture, 2023.

On variants of Chowla's conjecture Improved bounds for the two-point logarithmicchowla conjecture, 2023

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.223991Z

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=2026-08-10T18:57:24.967312Z digest=sha256:cd82233fcc9064cb227080f2521f7746dd3d1c5aaaf7587af5066467599aa6b5

Observation bbea4bae-c609-436e-a0ab-385d65aeca18 · outbound

This paper cites Chowla’s conjecture: from the Liouville functionto the Moebius function.

On variants of Chowla's conjecture Chowla’s conjecture: from the Liouville functionto the Moebius function

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.205072Z

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=2026-08-10T18:57:24.973211Z digest=sha256:ecab4871fc027462a7119766ad3a9ae75c4c592dad33c205555a4cb63940e87d

Observation 03aa2c17-4b63-4f7e-8c1d-b7541b55dc99 · outbound

This paper cites The logarithmically averaged Chowla and Elliott conjectures for two-point correlations.

On variants of Chowla's conjecture The logarithmically averaged Chowla and Elliott conjectures for two-point correlations

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.187401Z

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=2026-08-10T18:57:24.978914Z digest=sha256:81a6952665a8054754ebd6e9994e9cc65390d5974274beaf3954ebf20aa60871

Observation 751fc766-6c29-4869-b291-c6795cff6348 · outbound

This paper cites Odd order cases of the logarithmically averaged Chowla conjecture.

On variants of Chowla's conjecture Odd order cases of the logarithmically averaged Chowla conjecture

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.163949Z

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=2026-08-10T18:57:24.984057Z digest=sha256:40ea1c6e4a3cbcb783f8a9786071188ce1ed432a2d8fe37b7b04a0f343d3fa5a

Observation 92dc2e98-186f-4ddf-b11a-49a6e6f0c63d · outbound

This paper cites The structure of logarithmically averaged correlations of mul- tiplicative functions, with applications to the Chowla and Elliott conjec tures.

On variants of Chowla's conjecture The structure of logarithmically averaged correlations of mul- tiplicative functions, with applications to the Chowla and Elliott conjec tures

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.142302Z

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=2026-08-10T18:57:24.989468Z digest=sha256:3a663c00e1e60d59b5f41dee878c4ae1068b33839cd4ffed328ddc1864874c71

Observation 6359b559-9428-42fe-a7a3-b7643e10fdc3 · outbound

This paper cites The Hardy-Littlewood-Chowla conjecture in the presence of a Siegel zero.

On variants of Chowla's conjecture The Hardy-Littlewood-Chowla conjecture in the presence of a Siegel zero

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.123426Z

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=2026-08-10T18:57:24.995037Z digest=sha256:617b58b416334654033d5d9ab94414bfe941a96b6fdfe1b818ba7c50fed5aaf7

Observation 50d47ad9-f366-4c60-8bc4-25fbe8aa4dfa · outbound

This paper cites On the Liouville function at polynomial arguments.

On variants of Chowla's conjecture On the Liouville function at polynomial arguments

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.103850Z

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=2026-08-10T18:57:24.999939Z digest=sha256:560f8625f0c93a52f282dea0bd285cb31d92622f0f340276b758a0f90a9dc2ba

Observation dcceea06-2cbf-495a-a896-64a2985ff584 · outbound

This paper cites The Theory of Measure in Arithmetical Semi-Groups.

On variants of Chowla's conjecture The Theory of Measure in Arithmetical Semi-Groups

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:57:25.081530Z

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=2026-08-10T18:57:25.006511Z digest=sha256:f433f119c8299bc7318c4360e97b1be9973b63ea995625b947e913d0adb757c7

Observation efaea745-b32a-4c38-b504-8a349d258295 · outbound

This paper cites an unresolved cited work.

On variants of Chowla's conjecture Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:57:25.059391Z

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=2026-08-10T18:57:25.011663Z digest=sha256:2b2fefa961b0c8189e1abbf15180c02ca6446f4b5d80811530a48dc18204d1e1

Pith citing papers

No inbound Pith citation observations are available.