Paper Citation Record · LEDGER

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields

As of 21 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.00675.

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

pith.paper-citation-record.v1
2607.00675 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-02T07:17:40.991782Z

measured 22 of 22 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

22 of 22 outbound references displayed

verified exact1
verified fuzzy12
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 36fa583b-0ff4-4238-b411-ac290eed23bb · outbound

This paper cites an unresolved cited work.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:51:58.588607Z

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 223f0b51-6b24-4d35-aefc-a7aa3977a1d0 · outbound

This paper cites an unresolved cited work.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:51:58.606583Z

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 90c623fa-eff1-4daf-bada-f6ec74f05093 · outbound

This paper cites Chabert, From P´ olya fields to P´ olya groups (I) Galois extensions,J.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Chabert, From P´ olya fields to P´ olya groups (I) Galois extensions,J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:51:58.599305Z

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 42b44d52-22e1-4d48-a4e1-6cb1984ccbab · outbound

This paper cites an unresolved cited work.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:51:58.604098Z

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 617e9ad0-9af3-4a6a-9272-a2bd807e1f92 · outbound

This paper cites Gillibert and A.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Gillibert and A

Reference 5

Resolution: verified exact; doi, observed 2026-07-02T07:26:45.340050Z

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 ec5c3c8d-19ec-4ab4-b1bf-d9022755a42a · outbound

This paper cites an unresolved cited work.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:51:58.614136Z

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 5dcef7e0-b7a7-4b0e-9fcc-7c569e336952 · outbound

This paper cites an unresolved cited work.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:51:58.608095Z

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 91c70805-72d5-48df-8b43-146b4b7641bb · outbound

This paper cites Heidaryan and A.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Heidaryan and A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:51:58.604814Z

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 f6b259a7-7ff7-4664-bca8-af1a17cb4cbe · outbound

This paper cites Heidaryan and A.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Heidaryan and A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:51:58.612555Z

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 82637bc1-cb2a-4cea-ba54-743f2189c7cf · outbound

This paper cites Hooley, On the power free values of polynomials,Mathematika14(1967), 21–26.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Hooley, On the power free values of polynomials,Mathematika14(1967), 21–26

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:51:58.590385Z

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 d00108f1-15e5-4349-acef-f4e84b3b2fac · outbound

This paper cites Ishida, The Genus Fields of Algebraic Number Fields,Springer(1976).

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Ishida, The Genus Fields of Algebraic Number Fields,Springer(1976)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:51:58.591945Z

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 62edb4c5-b289-441e-9bfd-89b5c03a4f5f · outbound

This paper cites Lecacheux, Unit´ es d’une famille de corps li´ e’s ´ a la courbeX1(25),Ann.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Lecacheux, Unit´ es d’une famille de corps li´ e’s ´ a la courbeX1(25),Ann

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:51:58.603158Z

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 b84c7569-9255-40b9-9a0b-9e891f942c10 · outbound

This paper cites Leriche, Cubic, quartic and sextic P´ olya fields,J.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Leriche, Cubic, quartic and sextic P´ olya fields,J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:51:58.609077Z

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 a9e747ab-178e-4aba-9221-556a02c2984d · outbound

This paper cites Leriche, About the embedding of a number field in a P´ olya field,J.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Leriche, About the embedding of a number field in a P´ olya field,J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:51:58.598992Z

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 d23f59a7-f589-4a40-867f-e4d22a9d66a9 · outbound

This paper cites Maarefparvar, P´ olya group in some real biquadratic fields,J.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Maarefparvar, P´ olya group in some real biquadratic fields,J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:51:58.597581Z

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 7f6d36e5-1c4d-4c28-bb06-d6a9f47af2ac · outbound

This paper cites an unresolved cited work.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:51:58.610744Z

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 425dcc66-b36d-40d4-8503-e1aad446b0c0 · outbound

This paper cites an unresolved cited work.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:51:58.595693Z

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 3aed5166-4faf-4a48-a5a5-659a4b442ae8 · outbound

This paper cites an unresolved cited work.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:51:58.597011Z

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 c10d93cf-b827-421c-9567-4b81d89496be · outbound

This paper cites an unresolved cited work.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:51:58.619379Z

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 d3848b16-d0ea-446c-b6f1-e314105ddae2 · outbound

This paper cites Number Fields with Large Minimal Index.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Number Fields with Large Minimal Index

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:51:58.600763Z

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 db14e95e-2bec-48e3-907c-6aadedac30b3 · outbound

This paper cites von Zylinski, Zur Theorie der außerwesentlichen Diskriminantenteiler algebraischer ¨Korper,Math.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields von Zylinski, Zur Theorie der außerwesentlichen Diskriminantenteiler algebraischer ¨Korper,Math

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:51:58.616495Z

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 53a3a46f-f343-47f0-87cd-95cc0ee6f013 · outbound

This paper cites Zantema, Integer valued polynomials over a number field,Manuscripta Math.40, (1982), 155–203.

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields Zantema, Integer valued polynomials over a number field,Manuscripta Math.40, (1982), 155–203

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:51:58.609839Z

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.

Pith citing papers

No inbound Pith citation observations are available.