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Paper Citation Record · LEDGER

Some interesting number theory problems

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2506.17235.

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

pith.paper-citation-record.v1
2506.17235 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:01:21.400157Z

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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:52:37.958833Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T17:52:38.067355Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5563006d-ef66-4ca8-b250-95694450435f · outbound

This paper cites an unresolved cited work.

Some interesting number theory problems Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:22.023612Z

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=pdf_text observed=2026-08-07T11:01:21.146424Z digest=sha256:460ea47673681a52d76810d9fc9227a104a3a4f162f9664d918d3aa775cfc959

Observation a9b0647c-ed1f-4cdc-a4c3-9da3d565b6ae · outbound

This paper cites Sali´e, Uber die Kloostermanschen Summen S(u, v; q), Math.

Some interesting number theory problems Sali´e, Uber die Kloostermanschen Summen S(u, v; q), Math

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:21.994643Z

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=pdf_text observed=2026-08-07T11:01:21.164977Z digest=sha256:851fcf6a62bb2161255b87fb764c2451a14c58e8b1501674604eb064e06eed9e

Observation 68364591-bb5c-48c1-973e-f5ca0b4cfcaf · outbound

This paper cites an unresolved cited work.

Some interesting number theory problems Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:21.954603Z

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=pdf_text observed=2026-08-07T11:01:21.181189Z digest=sha256:6f63c9a8d231e883092774fd4cad10b9339c9334bcf677905e1285b88cd52272

Observation d854d20e-11b5-4ab1-ac34-0396ed157e34 · outbound

This paper cites Chowla, On Kloosterman’s sums, Norkse Vid.

Some interesting number theory problems Chowla, On Kloosterman’s sums, Norkse Vid

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:21.916008Z

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=pdf_text observed=2026-08-07T11:01:21.192197Z digest=sha256:9ed3695d9394afc74146efb4c3af9016bb8eac006d069dcf761c652309bfd0ae

Observation 221abc63-94e3-439d-8fda-d1e3b5f94fed · outbound

This paper cites Estermann, On Kloosterman’s sums, Mathematica, 8 (1961), 83–86.

Some interesting number theory problems Estermann, On Kloosterman’s sums, Mathematica, 8 (1961), 83–86

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:21.888575Z

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=pdf_text observed=2026-08-07T11:01:21.203071Z digest=sha256:30538406e321a3d5334bdeb55bb79e1ddc575144f5f0badbca00f5b404b8c08e

Observation 664dc7da-8813-45ce-b049-0ea9be45a5ed · outbound

This paper cites an unresolved cited work.

Some interesting number theory problems Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:21.846318Z

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=pdf_text observed=2026-08-07T11:01:21.214496Z digest=sha256:c87bad01dd375a99054b00002e0f27fc470c400b087676b20248442d836596e4

Observation d631e103-c0fc-4d7e-8083-94329d7bf0f9 · outbound

This paper cites an unresolved cited work.

Some interesting number theory problems Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:21.817925Z

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=pdf_text observed=2026-08-07T11:01:21.225164Z digest=sha256:531442c81bf75a38a8e6ac34b7b1f0cd0298a22cace0d7a28b65cb64f80b010a

Observation ecb1f8d4-f171-4bc1-aab5-ba9ea638b003 · outbound

This paper cites an unresolved cited work.

Some interesting number theory problems Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:21.790945Z

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=pdf_text observed=2026-08-07T11:01:21.235417Z digest=sha256:b333ce3a23d45f2a11eeb5eb72ce68be86ae31aedd7925d33f3806677aec878a

Observation 713e41d9-0d4d-431b-948b-de10ead2e617 · outbound

This paper cites an unresolved cited work.

Some interesting number theory problems Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:21.748595Z

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=pdf_text observed=2026-08-07T11:01:21.246078Z digest=sha256:bed7cf7097e5856e6be1b3a4e834591e1a61d549255712424edfb4760101f2da

Observation 4932ca86-740a-497d-a31c-213240bb2739 · outbound

This paper cites an unresolved cited work.

Some interesting number theory problems Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:21.720986Z

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=pdf_text observed=2026-08-07T11:01:21.276060Z digest=sha256:24c568f0039fb5aa9979b796c2193fd2a8ede211a9363b936726d8a7713f6ae7

Observation 7f2e7180-a0cb-4359-833d-315e1f722204 · outbound

This paper cites an unresolved cited work.

Some interesting number theory problems Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:21.693548Z

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=pdf_text observed=2026-08-07T11:01:21.292555Z digest=sha256:51a95e031aa7c60eda52f46b1e56fe28ef9510add71490e4fac86c0c1c65222b

Observation 2a0628e2-978a-4ab9-9527-b61a4cf11719 · outbound

This paper cites an unresolved cited work.

Some interesting number theory problems Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:21.647972Z

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=pdf_text observed=2026-08-07T11:01:21.314800Z digest=sha256:3ecd04aa336521715dfcacfa31c6209e6a1f3af977268e676f3a714de656b72d

Observation 948d2e3a-43b0-4c2b-871f-c8de7936ee1e · outbound

This paper cites Weil, On some exponential sums, Proceedings of the National Academy of Sciences of the United States of America, 34 (1948), 203–210.

Some interesting number theory problems Weil, On some exponential sums, Proceedings of the National Academy of Sciences of the United States of America, 34 (1948), 203–210

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:21.609758Z

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=pdf_text observed=2026-08-07T11:01:21.325740Z digest=sha256:270b01904b7529b190cf722d4b2b49431ade945721a438bb27eee972ec74926c

Observation dd15981a-f670-4692-8783-c2f6d63ddb77 · outbound

This paper cites Zhang and W.

Some interesting number theory problems Zhang and W

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:01:21.557195Z

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=pdf_text observed=2026-08-07T11:01:21.348056Z digest=sha256:df261287c94753736c2bc0759d539c838b75d7c0e394c6203d1988987ed53f08

Observation 69e20ada-b38c-42bf-9700-79cd6c2cd20f · outbound

This paper cites an unresolved cited work.

Some interesting number theory problems Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:21.513402Z

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=pdf_text observed=2026-08-07T11:01:21.377806Z digest=sha256:94dc7701eebde46badb2059df5454a8cbf3f995786b7bdcb5158aeed0312f31e

Observation 373d8b7f-d7fb-4fc8-a65a-878eadd85841 · outbound

This paper cites an unresolved cited work.

Some interesting number theory problems Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:21.486577Z

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=pdf_text observed=2026-08-07T11:01:21.389010Z digest=sha256:12dfa7d8331727e58564152ae9346d5d4d628974480449b8a0df961d20475cc4

Observation 0a072e05-9db8-47f1-8a8a-a2a007d27b3c · outbound

This paper cites an unresolved cited work.

Some interesting number theory problems Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:01:21.448597Z

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=pdf_text observed=2026-08-07T11:01:21.400157Z digest=sha256:fe9bbc41f15a260b041aad2a64b3eed8ee3b77cd7171a6235b958571c682e41a

Pith citing papers

Observation f45d61fb-9d44-46cb-ba41-286e03735f08 · inbound

On quadratic character sums over quartics cites this paper.

On quadratic character sums over quartics Some interesting number theory problems

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-06T17:52:38.137653Z

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=pdf_text observed=2026-08-06T17:52:37.958833Z digest=sha256:fe863827bd85355c6a09b535f83ed80e516b6dd14c55b665286510bd83ae7da5