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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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.146424Z digest=sha256:074ec5de189affce8efdc54c9a77c94cac91ee794160595672b36f52ff0a6d2c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.164977Z digest=sha256:8cacdaed0b0c4ff85a1d3ba8ace55cf52cac991edfa0a87bfad15466d729ee2f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.181189Z digest=sha256:75a3898323a4a96b55e6f09a73bb7a6f7faaffc2724d0aca102fe703847ace12

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.192197Z digest=sha256:3694fb251f04c0d1d7d1fa87858dbfe02387b4ef96de578ad959b31de186b625

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.203071Z digest=sha256:d9ab5234a3a51bd5ce31edd9503a03eb2b0958314ec51ae8d706420fc6ed2d67

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.214496Z digest=sha256:28dae65a17a68c3fa4cf0b4236e8d976d78f432ac5ff48a040eeaf1dd9ab3c67

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.225164Z digest=sha256:3ee143f13a5747f6188ae506248a538b83c2221cdcf5808e7b86afa96245c151

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.235417Z digest=sha256:8fdc9ab6ecbe5a5882c15a20d4d54fd19769fa805ae373f52c991835dea97ee3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.246078Z digest=sha256:2d100d1ccf79129671b1ae5a2f6e6d365b679a9692394d8dc6507e6911dd529d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.276060Z digest=sha256:0ebdb8b2df7abbc5db99e4a2fb1248b46ca44e95f25c0069f0bd01e79e530de1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.292555Z digest=sha256:2da7c1ce380a74bce5ceadb2d879312715a1bbb33f0991881724fcd04b43eb0f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.314800Z digest=sha256:53b526f7d0dc05c3be356ae6ba36162ca46f9ab28e226a4cbd44f6e08de15914

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.325740Z digest=sha256:6f0a5d7399bff9e1b03f758a3b90caea808ea13e3196457f6a954b13eb31555d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.348056Z digest=sha256:a83751c311342cc4b75ff11eff73e27837b4bb6ac5f6026366e6ce3facbc6cdb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.377806Z digest=sha256:26630d17d4cd482c18caa7b1981396544f385d526839a209447c66f2002a9a67

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.389010Z digest=sha256:e689df0ebeb3680e8ecec26b8821939f40e66c25abae3140620fe531b2088cab

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:01:21.400157Z digest=sha256:f63e34707f899e9fcdaf6209f8ee9f94043889d25bb4d8fdc0db591067ac4a49

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T17:52:37.958833Z digest=sha256:ba0ea7616dce15f9a9b5368c94a54d16be939ae1666f167266b596949e1ec3a0