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Paper Citation Record · LEDGER

On a Smoothed Walfisz Divisor Problem

As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2607.01956.

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

pith.paper-citation-record.v1
2607.01956 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T07:07:43.508959Z

measured 18 of 18 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

18 of 18 outbound references displayed

  • verified exact2
  • verified fuzzy10
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2f20dd74-b690-4aab-ae6b-95a8e375225c · outbound

This paper cites Bordell\` e s , Arithmetic Tales, Advanced Edition, utx , Springer, 2020.

On a Smoothed Walfisz Divisor Problem Bordell\` e s , Arithmetic Tales, Advanced Edition, utx , Springer, 2020

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:11:03.503110Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:d0cc180720ec6135c7ed905309d89c0c89e3461f2053b740594416e7168a06e2

Observation 73469a94-5c8e-4d04-83e4-5bcb6fa6866c · outbound

This paper cites Bordell\` e s , On restricted divisor sums associated to the Chowla--Walum conjecture, Int.

On a Smoothed Walfisz Divisor Problem Bordell\` e s , On restricted divisor sums associated to the Chowla--Walum conjecture, Int

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:11:03.493557Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:3979481186c1e4554784bad3c2b6fcd1a18678182def13082c6605d181b90249

Observation cf31685a-240b-420d-8b09-1dedfe50dd98 · outbound

This paper cites On a Smoothed Dirichlet Divisor Problem.

On a Smoothed Walfisz Divisor Problem On a Smoothed Dirichlet Divisor Problem

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-07-03T07:17:43.891924Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:ed7d34b9d6442b458e445b342f4c3b696c6663b32500f509235e73a0f77349a9

Observation b2e1a873-037e-452f-b69e-b9050d2b6d5c · outbound

This paper cites Chowla and H.

On a Smoothed Walfisz Divisor Problem Chowla and H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:11:03.496021Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:350366a20c3d8e65218abb138351f36e3bdca3068b735d3f0998d2fdace81076

Observation dd6f2fe3-ee4f-486f-af2d-2cbf8660b023 · outbound

This paper cites an unresolved cited work.

On a Smoothed Walfisz Divisor Problem Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-07-05T12:11:03.499875Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:08a1949fcccdf2dc99de8deac30586377b2b7cc50f87b6b598af3c4eeefa43b3

Observation c7c1f8b3-d88b-4a7c-832c-a8aec1e70cb1 · outbound

This paper cites Ishibashi , Average order of the divisor functions with negative power weight, Tsukuba J.

On a Smoothed Walfisz Divisor Problem Ishibashi , Average order of the divisor functions with negative power weight, Tsukuba J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:11:03.497958Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:51e7672b6299c73096f49d96920b632f3718bd14960ca2fc5d404fa70d2fe3be

Observation fb3921dd-db06-453e-8d20-c11ed4de08a4 · outbound

This paper cites Kanemitsu and R.

On a Smoothed Walfisz Divisor Problem Kanemitsu and R

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:11:03.482675Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:7ea4e8dfdd684f44a8d9728844b1340bc8a8741a6b568441e0380c634802b015

Observation e74acc0e-d461-4000-89ce-3f1cdeabc339 · outbound

This paper cites an unresolved cited work.

On a Smoothed Walfisz Divisor Problem Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-05T12:11:03.472463Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:5e61f2e477f3a6415f7e7c248dcb7b52a968ffac1c2b0ef7ab32def4d1180222

Observation 23b4f4c9-66bc-4aec-b5da-91beb307038a · outbound

This paper cites an unresolved cited work.

On a Smoothed Walfisz Divisor Problem Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-07-05T12:11:03.480575Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:87e1c28f16a2d4fc132bcf206c1617dbfa110be4f80612fe4948a06e8167593a

Observation cf2ee2fa-7e8c-4a85-96fd-88d0f5b150ad · outbound

This paper cites Toward optimal exponent pairs.

On a Smoothed Walfisz Divisor Problem Toward optimal exponent pairs

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-03T07:17:43.889477Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:de58f327ce6998c23a7fbc6555deae63ec1a386a524937bba7353a40c6413583

Observation 169fb3d4-2ac7-4477-8e52-6792ee9afbaf · outbound

This paper cites Walfisz , Weylsche Exponentialsummen in der Neueren Zahlentheorie, VEB, Berlin, 1963.

On a Smoothed Walfisz Divisor Problem Walfisz , Weylsche Exponentialsummen in der Neueren Zahlentheorie, VEB, Berlin, 1963

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:11:03.486233Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:6a2c4ae3de9690757feed90c2e98de2f773411265f348d73ef8dacc8928e70a3

Observation fed0f3ef-605e-48ca-8c4c-d93cb1759d1b · outbound

This paper cites Wigert , Sur quelques fonctions arithmétiques, Acta Math.

On a Smoothed Walfisz Divisor Problem Wigert , Sur quelques fonctions arithmétiques, Acta Math

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:11:03.489414Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:e4b9c1e7dc82a271402a873edc14bb7e24229fcc02003f2ddaead9a6f51178bb

Observation 3b428849-d8d5-4b99-b92a-3be003daf64b · outbound

This paper cites an unresolved cited work.

On a Smoothed Walfisz Divisor Problem Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-05T12:11:03.511696Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:44256036429a82afcb475ff1b4acb01f96aea1c9bedb0876238c0e56cc0965b5

Observation d1470863-ff56-4015-959e-6b60952bc4bc · outbound

This paper cites an unresolved cited work.

On a Smoothed Walfisz Divisor Problem Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-05T12:11:03.478384Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:b1ac6ae5e062366472aa345e9c43475f2340a757972ff4b8508bc4c91cded36d

Observation 5d0d96d0-e808-4b4a-8d22-5a84bbe830c5 · outbound

This paper cites an unresolved cited work.

On a Smoothed Walfisz Divisor Problem Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-05T12:11:03.475121Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:82ecffae277af218e44e8071d6983bd593e6021993d0c066d05af370bb62ace3

Observation 9b724de2-307d-4ba6-919f-2ceb8375f384 · outbound

This paper cites Mitrinovi\' c , Analytic Inequalities, Springer-Verlag, 1970.

On a Smoothed Walfisz Divisor Problem Mitrinovi\' c , Analytic Inequalities, Springer-Verlag, 1970

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:11:03.469726Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:703789b182b0d2f0ae2908ab1354afe05cf6da8ec1d7bf16481600612dd85832

Observation 60b0aae2-b70d-4982-a0d5-9aec3c9232d2 · outbound

This paper cites Ostrowski , Vorlesungen \" u ber Differential- und Integralrechnung.

On a Smoothed Walfisz Divisor Problem Ostrowski , Vorlesungen \" u ber Differential- und Integralrechnung

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:11:03.509168Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:3ae76c97c9c095fb6058269e2b17f61fec5cc47a7ff2e0671a300e09f4be49d1

Observation 9b0765b2-5fc2-4136-9c2f-cdd46c7114cf · outbound

This paper cites Patel , Explicit sub-Weyl bound for the Riemann Zeta function, PhD Thesis.

On a Smoothed Walfisz Divisor Problem Patel , Explicit sub-Weyl bound for the Riemann Zeta function, PhD Thesis

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:11:03.505256Z

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=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:2e5a30130d647ec3f7b4ffcdb0bd4f3d97e9d4f4df916e74a668fd13e37d0de6

Pith citing papers

No inbound Pith citation observations are available.