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Paper Citation Record · LEDGER

On a Smoothed Walfisz Divisor Problem

As of 7 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:4c465d452510718f95d4f997e8c2194f234965bb6fef94abdbd56e7269c67220

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:20d9ad38bdf956be2d0fd78e788888828e42f47d7bd9f03a2c2bf62181ccf978

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:6e6436fddabfdd4bca38cdc737727eb35a29bfa3fa64ee55b6a0a0696bd7b6f6

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:b782fb60d707ba052de50324fe337d55a749d17733dcecd7bdd350ce6fdf35a0

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:5868212ca7bcbf443290bd047344d2335866875f012b19233c393dc0f705b48f

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:2ff1d43f45f2d6368b2eed28ac5633b4d71b6cbf8ccb5234eb18a2180ebdf670

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:141ea25cdfd74cae57dbd2a454e5a9d05019dc9ff827eb3bf3559f3827b85a27

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:c8bd6d381da4817253f971cc01e22b049c5689b91bb35b83b34855340beab5df

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:12f29bca66b9c9bc2ab9115542e765322ce30cf70dccf3b04f0dabb73c4f6767

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:3e1bc7d2b15b4e6562a7c1578c4ee186a43cba75877d132110405f126cd1f8b3

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:1ad18fd80ecd8744a5be1243f80f7f4b001f8990c05bada9e765a0112abdcdb3

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:c597ca55d1a15680295c210c422f453cfe78c412d3b3e0e51119067891c43897

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:bf5279adbd1520e26ac1fa456973b4da14db1a36dd057191bf7dce1de0442d65

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:d42c1ec722ea6a1467871a0e4676152bd23c5d6cb5820314f147abdae90fa4d6

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:7ff6c8c2a0b32a36485b94343525d439313ec06ac35c55dca06c3bc0565997d4

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:23869f81ed81bfd1633d1d505ef0042f4f3d26ef2884d08602f529f423f1382b

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:2ba2996efa0800ccb3680e38417319a9f7b6b49838c5093054c9b6ffe3d5b5fa

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-03T07:07:43.508959Z digest=sha256:ad7643b126d2f2febe6181bed4bcac93925429e93bec2b609431d5e34fad3da5

Pith citing papers

No inbound Pith citation observations are available.