Paper Citation Record · LEDGER

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields

As of 20 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2608.00387.

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

pith.paper-citation-record.v1
2608.00387 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:26:55.988159Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

36 of 36 outbound references displayed

verified exact16
verified fuzzy11
unresolved6
parse uncertain0
malformed identifier3
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0fdd2231-b31f-4333-8640-fb06ae2e0b7b · outbound

This paper cites an unresolved cited work.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T15:26:55.870221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f42d23e9-ced3-4c6a-816e-5414744e1657 · outbound

This paper cites an unresolved cited work.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Unresolved cited work

Reference 2

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T15:26:56.529574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0960e8bb-4069-4dc8-847b-0e06385d491d · outbound

This paper cites Cohen, H.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Cohen, H

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:26:56.519696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 85f53c2d-5c6e-47d0-b354-ed13593c91fb · outbound

This paper cites Cohen, J.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Cohen, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:26:56.510163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fd4181bd-c946-43ba-ab7c-13e3830a08be · outbound

This paper cites Erdős, M.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Erdős, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:26:56.500231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ade0d14b-e369-4342-85cb-d8e7578abf60 · outbound

This paper cites Fouvry, P.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Fouvry, P

Reference 6

Resolution: verified exact; doi, observed 2026-08-15T15:26:56.156799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 818f8606-a67b-4fcb-9706-5d07493834f5 · outbound

This paper cites Fouvry, J.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Fouvry, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:26:56.489532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c5a57cd3-9851-4168-ba00-470ae0c2e444 · outbound

This paper cites Fouvry, J.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Fouvry, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:26:56.478373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a90fa76d-0017-4156-9dba-4b3bfb3b223e · outbound

This paper cites Fouvry, P.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Fouvry, P

Reference 9

Resolution: verified exact; doi, observed 2026-08-15T15:26:56.146475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5df2abe2-c8e8-49cd-99cb-0846893fbf09 · outbound

This paper cites Fröhlich, Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields , Contemp.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Fröhlich, Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields , Contemp

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:26:56.465086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ff7749de-b20f-418a-bdd1-07f253179158 · outbound

This paper cites Gerth III, The 4-class ranks of quadratic fields , Invent.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Gerth III, The 4-class ranks of quadratic fields , Invent

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:26:56.452008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 80ff027a-1f81-4ff0-8d78-cdaa732ee86b · outbound

This paper cites Gerth III, Extension of conjectures of Cohen and Lenstra , Expo.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Gerth III, Extension of conjectures of Cohen and Lenstra , Expo

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:26:56.439129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6a139af5-dced-4819-a2c3-ddbbcd0e7d07 · outbound

This paper cites Granville, Prime divisors are Poisson distributed , Int.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Granville, Prime divisors are Poisson distributed , Int

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:26:56.423077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8a4631c1-d7d8-4d27-b0d3-548650a36c76 · outbound

This paper cites Koymans, C.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Koymans, C

Reference 14

Resolution: verified exact; doi, observed 2026-08-15T15:26:56.136424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e6ca9ce3-a2e1-4e2c-b750-44c97e7b78cc · outbound

This paper cites an unresolved cited work.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-08-15T15:26:56.126401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5cf4697e-43cf-4b07-9adc-329195ff3282 · outbound

This paper cites The $4$-rank of class groups of $K(\sqrt{n})$.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields The $4$-rank of class groups of $K(\sqrt{n})$

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:26:56.374793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b1a9a5a8-beff-41eb-a827-3be8ebe21ceb · outbound

This paper cites Koymans, C.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Koymans, C

Reference 17

Resolution: verified exact; doi, observed 2026-08-15T15:26:56.115701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 207b2b8c-ca2e-4a7f-8051-9ef4cebd7880 · outbound

This paper cites On Stevenhagen's conjecture.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields On Stevenhagen's conjecture

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:26:56.354433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b8fa7e14-6e39-43cd-b1c8-c26d1a459831 · outbound

This paper cites Koymans, Y.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Koymans, Y

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T15:26:55.931232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ab8fe71-829e-4376-86b7-e085efe80026 · outbound

This paper cites Koymans, The 16-rank of Q(√−p), Algebra Number Theory 14 (2020), no.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Koymans, The 16-rank of Q(√−p), Algebra Number Theory 14 (2020), no

Reference 20

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T15:26:56.411767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9387ee01-e86e-4fd7-b312-d0425f5c4bbd · outbound

This paper cites Koymans, D.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Koymans, D

Reference 21

Resolution: verified exact; doi, observed 2026-08-15T15:26:56.105284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d3d6c429-6715-497a-b7e2-04c8332e19d2 · outbound

This paper cites Koymans, D.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Koymans, D

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T15:26:55.940687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ebda4fa-1fff-4754-a5b0-6197f6def51c · outbound

This paper cites Lee, Joint distribution of the cokernels of random p-adic matrices , Forum Math.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Lee, Joint distribution of the cokernels of random p-adic matrices , Forum Math

Reference 23

Resolution: verified exact; doi, observed 2026-08-15T15:26:56.088318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 67627c01-62a3-49b4-bae7-fc33e756b2c9 · outbound

This paper cites Lee, Mixed moments and the joint distribution of random groups , J.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Lee, Mixed moments and the joint distribution of random groups , J

Reference 24

Resolution: verified exact; doi, observed 2026-08-15T15:26:56.076721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 785b6a41-bb52-4379-a953-ffe54940cbc3 · outbound

This paper cites Lemmermeyer, Kuroda’s class number formula , Acta Arith.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Lemmermeyer, Kuroda’s class number formula , Acta Arith

Reference 25

Resolution: malformed identifier; doi_truncated, observed 2026-08-15T15:26:56.066469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 325a7da8-b85f-44ac-8a6c-2a6a789d0e0b · outbound

This paper cites an unresolved cited work.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Unresolved cited work

Reference 26

Resolution: verified exact; doi, observed 2026-08-15T15:26:56.056378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bf99befc-1fc7-4b87-89b8-3f8a726c825e · outbound

This paper cites On Hasse's Unit Index.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields On Hasse's Unit Index

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:26:56.282136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aa401f4b-c6f9-45b6-bd61-a7d66367b07f · outbound

This paper cites 4-ranks and the general model for statistics of ray class groups of imaginary quadratic number fields.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields 4-ranks and the general model for statistics of ray class groups of imaginary quadratic number fields

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:26:56.264395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 370a9231-85a2-4262-b1a9-d9cd8398816b · outbound

This paper cites Rédei, H.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Rédei, H

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:26:56.400531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7814f906-0323-4dd5-a786-d78abfea5ae9 · outbound

This paper cites Selberg, Note on a paper by L.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Selberg, Note on a paper by L

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:26:56.387610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6d98228b-9ccc-41ce-b18a-3ad87a2b657b · outbound

This paper cites $2^\infty$-Selmer groups, $2^\infty$-class groups, and Goldfeld's conjecture.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields $2^\infty$-Selmer groups, $2^\infty$-class groups, and Goldfeld's conjecture

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T15:26:55.970895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b83352ba-a1f5-492b-a7ed-55cd47faaf83 · outbound

This paper cites Smith, The distribution of ℓ∞-Selmer groups in degree ℓ twist families I , J.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Smith, The distribution of ℓ∞-Selmer groups in degree ℓ twist families I , J

Reference 32

Resolution: verified exact; doi, observed 2026-08-15T15:26:56.045771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 025ea4e0-60e5-401f-abd8-e09c9fcdab82 · outbound

This paper cites Smith, The distribution of ℓ∞-Selmer groups in degree ℓ twist families II , J.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Smith, The distribution of ℓ∞-Selmer groups in degree ℓ twist families II , J

Reference 33

Resolution: verified exact; doi, observed 2026-08-15T15:26:56.035602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 373db785-df11-46fb-8e69-4369240e4438 · outbound

This paper cites an unresolved cited work.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-15T15:26:55.981656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9feede7c-9446-473d-81a5-d5dcf8f26ad1 · outbound

This paper cites an unresolved cited work.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T15:26:55.985110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86df1fa9-2540-4aab-a197-4e0f78a5e1f4 · outbound

This paper cites an unresolved cited work.

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Unresolved cited work

Reference 36

Resolution: verified exact; doi, observed 2026-08-15T15:26:56.017880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.