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Paper Citation Record · LEDGER

Reciprocity and the Kernel of Dedekind Sums

As of 7 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2110.12269.

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

pith.paper-citation-record.v1
2110.12269 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T13:10:59.413295Z

measured 7 of 7 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

7 of 7 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a94264ad-25a5-4a0d-b1e6-e2a550bf4b8a · outbound

This paper cites an unresolved cited work.

Reciprocity and the Kernel of Dedekind Sums Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.271341Z

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=2026-05-24T13:10:59.413295Z digest=sha256:9daa66faf221ffd04877d8d5f839070befcf2bfc4ff3577f4f5f5cff20e836ed

Observation 82c81310-956f-47b7-9f7e-7c8ffc12c45b · outbound

This paper cites an unresolved cited work.

Reciprocity and the Kernel of Dedekind Sums Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.267760Z

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=2026-05-24T13:10:59.413295Z digest=sha256:162a8f0b82f8c73af046fafbc91c7a6aec6e94301ca5605a690f1a91cd529cec

Observation 68abb295-ed1d-4c38-8b64-139b2f6fd8f5 · outbound

This paper cites Ramirez, and Matthew P.

Reciprocity and the Kernel of Dedekind Sums Ramirez, and Matthew P

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T13:14:32.264250Z

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=2026-05-24T13:10:59.413295Z digest=sha256:b8b1a4c3cdd89d5e1c6fe31779aa6390cc2fef224ae76dce4737b64c13f36207

Observation bdcaa03a-706d-4214-aa09-6050a5d5d8de · outbound

This paper cites S ageMath, the S age M athematics S oftware S ystem ( V ersion 9.0).

Reciprocity and the Kernel of Dedekind Sums S ageMath, the S age M athematics S oftware S ystem ( V ersion 9.0)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T13:14:32.258267Z

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=2026-05-24T13:10:59.413295Z digest=sha256:a28c5c6402151664b87a282284f67a0cb190ce9adef5b56d6e75cd9e3df27fd4

Observation 3edccf09-6588-492a-b0a2-905b9369d7ab · outbound

This paper cites Stucker, A.

Reciprocity and the Kernel of Dedekind Sums Stucker, A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T13:14:32.254890Z

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=2026-05-24T13:10:59.413295Z digest=sha256:452a8dd13d6683858807f6fed23112dbeb34b4297bb63066bd1c9e6da2d2def5

Observation 49513119-7de9-4fa7-80c2-299f509b6887 · outbound

This paper cites Some Results on Classical E isenstein Series and Modular Forms Over Function Fields.

Reciprocity and the Kernel of Dedekind Sums Some Results on Classical E isenstein Series and Modular Forms Over Function Fields

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T13:14:32.251195Z

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=2026-05-24T13:10:59.413295Z digest=sha256:0099cbcea68943617b86bc1cedf1386c2aeb74e48457a81c4d1464584a3b96e7

Observation 5dbba029-8b8e-4f56-99ef-27a12d213448 · outbound

This paper cites an unresolved cited work.

Reciprocity and the Kernel of Dedekind Sums Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.247744Z

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=2026-05-24T13:10:59.413295Z digest=sha256:a0748983a5052e3ef73cde28b7eb43522e436e23ef004fd79c8e3643fee6a114

Pith citing papers

No inbound Pith citation observations are available.