Paper Citation Record · LEDGER

Elasticity of Orders with Prime Conductor

As of 22 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2504.17957.

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

pith.paper-citation-record.v1
2504.17957 v4

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:51:29.686313Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

19 of 19 outbound references displayed

verified exact1
verified fuzzy2
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb042c2a-8f14-4d14-9fb5-c77c8b6b8ed1 · outbound

This paper cites an unresolved cited work.

Elasticity of Orders with Prime Conductor Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.582051Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08bdf38d-f994-43dd-a678-c414c157eb4d · outbound

This paper cites Class group and factorization in orders of a PID.

Elasticity of Orders with Prime Conductor Class group and factorization in orders of a PID

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.589300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f40a646c-f3da-4787-8d00-ceb28a0e067f · outbound

This paper cites The conductor ideal of an order.

Elasticity of Orders with Prime Conductor The conductor ideal of an order

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.595276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b77c666-bfac-4fc7-85b2-3698d0cc8128 · outbound

This paper cites Elasticity in orders of an algebraic number field with radical conductor ideal and their rings of formal power series, 2025.

Elasticity of Orders with Prime Conductor Elasticity in orders of an algebraic number field with radical conductor ideal and their rings of formal power series, 2025

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.600842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44c208ad-9778-4f3f-88d6-43ae4dfcf29d · outbound

This paper cites Midwestern conference on group theory and number theory.

Elasticity of Orders with Prime Conductor Midwestern conference on group theory and number theory

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:51:30.072050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b055651d-a317-4538-9946-609e4c0750df · outbound

This paper cites Factorization of algebraic integers.

Elasticity of Orders with Prime Conductor Factorization of algebraic integers

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.612660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d80b07d0-d614-4ebe-8642-1e5a3f5209bc · outbound

This paper cites Elasticity of factorizations in atomic monoids and integral domains.

Elasticity of Orders with Prime Conductor Elasticity of factorizations in atomic monoids and integral domains

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:51:30.038222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1941d6b6-b824-4b07-bc6c-8337c29c312a · outbound

This paper cites A generalized davenport constant of the second kind, 2025.

Elasticity of Orders with Prime Conductor A generalized davenport constant of the second kind, 2025

Reference 8

Resolution: verified exact; raw_fallback, observed 2026-08-16T10:51:29.871925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 145e621a-f1ea-4bff-abea-bfdd37873b04 · outbound

This paper cites The L-functions and modular forms database.

Elasticity of Orders with Prime Conductor The L-functions and modular forms database

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.629450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f89521e5-ed6f-498f-8f36-9747648173ac · outbound

This paper cites The HFD property in orders of a number field.

Elasticity of Orders with Prime Conductor The HFD property in orders of a number field

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.639849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57d49dd5-b54f-42bb-81c0-94a3305fbb4d · outbound

This paper cites Relating elasticity and other multiplicative properties among orders in number fields and related rings.

Elasticity of Orders with Prime Conductor Relating elasticity and other multiplicative properties among orders in number fields and related rings

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.644781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 430d3070-53dc-45e3-adc2-79c510488205 · outbound

This paper cites Associated Quadratic Orders, March 2025.

Elasticity of Orders with Prime Conductor Associated Quadratic Orders, March 2025

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.650626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd11fe98-cff8-4d3f-893d-6ad6d6c269c7 · outbound

This paper cites A note on elasticity of factorizations.Journal of Number Theory, 51:46–47, 1995.

Elasticity of Orders with Prime Conductor A note on elasticity of factorizations.Journal of Number Theory, 51:46–47, 1995

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.655911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6cc8a04f-7ebc-4b6f-991d-b5d79d40463d · outbound

This paper cites Some remarks on half-factorial orders.

Elasticity of Orders with Prime Conductor Some remarks on half-factorial orders

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.661113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ce11c9c-ec2b-40c2-9395-5654dfed448b · outbound

This paper cites A characterization of half-factorial orders in algebraic number fields.

Elasticity of Orders with Prime Conductor A characterization of half-factorial orders in algebraic number fields

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.668291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 692a4bf4-2da9-4a70-8431-96475ad1e4fd · outbound

This paper cites an unresolved cited work.

Elasticity of Orders with Prime Conductor Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:51:29.919186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a81bfaea-f543-44f0-836d-f5936b777c66 · outbound

This paper cites Half factorial domains.

Elasticity of Orders with Prime Conductor Half factorial domains

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.680648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4e063e4-e7e7-4985-a015-f71d1a3cc019 · outbound

This paper cites Half-factorial-domains.

Elasticity of Orders with Prime Conductor Half-factorial-domains

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.686313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a7b213e-26bc-461a-b194-9ca10436c533 · outbound

This paper cites an unresolved cited work.

Elasticity of Orders with Prime Conductor Unresolved cited work

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-16T10:51:29.634766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.