Paper Citation Record · LEDGER

Hecke reciprocity and class groups

As of 18 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2506.13749.

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

pith.paper-citation-record.v1
2506.13749 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:06:24.463844Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

14 of 14 outbound references displayed

verified exact0
verified fuzzy5
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f606c557-409d-4379-8c99-94fabf2b2bfe · outbound

This paper cites Integers expressible as the sum of two rational cubes.

Hecke reciprocity and class groups Integers expressible as the sum of two rational cubes

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T20:06:24.434665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c76e1246-8301-4b7b-a198-f21dc46986d6 · outbound

This paper cites The average size of $3$-torsion in class groups of $2$-extensions.

Hecke reciprocity and class groups The average size of $3$-torsion in class groups of $2$-extensions

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T20:06:24.438519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2c2c7ae-444a-4115-876a-d9f23b0fa2a0 · outbound

This paper cites Monogenic fields with odd class number Part II: even degree.

Hecke reciprocity and class groups Monogenic fields with odd class number Part II: even degree

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T20:06:24.455564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b11dd703-fc11-4f0b-abba-9e68fd2c5744 · outbound

This paper cites Swaminathan, A new parametrization for ideal classes in rings defined by binary forms, and applications, J.

Hecke reciprocity and class groups Swaminathan, A new parametrization for ideal classes in rings defined by binary forms, and applications, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:06:24.750134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 609fffd5-324b-4839-8ce9-aaba80ef8a4c · outbound

This paper cites an unresolved cited work.

Hecke reciprocity and class groups Unresolved cited work

Reference 1974

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:06:24.735094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0080d2c2-46f7-4e78-9687-93ccedfa6e3c · outbound

This paper cites Cohen and H.

Hecke reciprocity and class groups Cohen and H

Reference 1978

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:06:24.788947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7965512c-aaa9-43ae-bad3-813951585b71 · outbound

This paper cites Monogenicity and 2-torsion in the class group of number fields of odd degree.

Hecke reciprocity and class groups Monogenicity and 2-torsion in the class group of number fields of odd degree

Reference 1979

Resolution: unresolved; no resolver link, observed 2026-08-15T20:06:24.451046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a8e1894-5174-47b5-8436-3b87df154b69 · outbound

This paper cites Nguyen and Melanie Matchett Wood,Local and global universality of random matrix cokernels, Math.

Hecke reciprocity and class groups Nguyen and Melanie Matchett Wood,Local and global universality of random matrix cokernels, Math

Reference 2008

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:06:24.765014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 914e4c0b-f13c-4784-9723-29271001acd5 · outbound

This paper cites Carlitz, A characterization of algebraic number fields with class number two, Proc.

Hecke reciprocity and class groups Carlitz, A characterization of algebraic number fields with class number two, Proc

Reference 2015

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:06:24.803121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bfec4388-ef37-4510-afa3-743493fa5c92 · outbound

This paper cites Lenstra, Jr.,Arakelov class groups of random number fields, Math.

Hecke reciprocity and class groups Lenstra, Jr.,Arakelov class groups of random number fields, Math

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-15T20:06:24.413768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e029417e-0330-48d2-a64e-69a11842ea4b · outbound

This paper cites Math.237 (2024), no.

Hecke reciprocity and class groups Math.237 (2024), no

Reference 2021

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:06:24.776819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c06a34e0-9e51-4604-96b0-dec795156da9 · outbound

This paper cites The mean number of 2-torsion elements in the class groups of $n$-monogenized cubic fields.

Hecke reciprocity and class groups The mean number of 2-torsion elements in the class groups of $n$-monogenized cubic fields

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-15T20:06:24.408867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f57415f-6ffc-445a-811e-22b8d0b8b44d · outbound

This paper cites Dummit and John Voight, The 2-Selmer group of a number field and heuristics for narrow class groups and signature ranks of units, Proc.

Hecke reciprocity and class groups Dummit and John Voight, The 2-Selmer group of a number field and heuristics for narrow class groups and signature ranks of units, Proc

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-15T20:06:24.425831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 686b0d74-b776-4e3e-b6a9-9bdc4b1bf890 · outbound

This paper cites Malle's conjecture and Brauer groups of stacks.

Hecke reciprocity and class groups Malle's conjecture and Brauer groups of stacks

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-15T20:06:24.430506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.