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Paper Citation Record · LEDGER

The second moment of the size of the $2$-class group of monogenized cubic fields

As of 8 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2506.05539.

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

pith.paper-citation-record.v1
2506.05539 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:36:26.851991Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved18
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8182ab77-b175-4cbc-9591-2852277dedc9 · outbound

This paper cites an unresolved cited work.

The second moment of the size of the $2$-class group of monogenized cubic fields Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:36:29.518969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d0b91e19-add9-4f69-8b9f-194ce12c58e7 · outbound

This paper cites Bhargava.

The second moment of the size of the $2$-class group of monogenized cubic fields Bhargava

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:29.390697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation dd8be3a3-b35f-43e9-b15b-26c796b82f32 · outbound

This paper cites Bhargava and B.

The second moment of the size of the $2$-class group of monogenized cubic fields Bhargava and B

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:29.258281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation eb9ad924-83e8-40e0-bac6-cc1e6c8bf6d3 · outbound

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

The second moment of the size of the $2$-class group of monogenized cubic fields The mean number of 2-torsion elements in the class groups of $n$-monogenized cubic fields

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T10:36:25.140355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:36:25.140355Z digest=sha256:3bba560f08556df3619397dcac5a8e1f66af3c468f365d818cb17aeb682ed15c

Observation 34fc9206-b9d5-43fc-8fe9-379595eb9cae · outbound

This paper cites The average number of elements in the 4-Selmer groups of elliptic curves is 7.

The second moment of the size of the $2$-class group of monogenized cubic fields The average number of elements in the 4-Selmer groups of elliptic curves is 7

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T10:36:25.197000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:36:25.197000Z digest=sha256:a0f787523c1927f5ff98ee45ad41752aaaad7795c27820422777461b37b55ed8

Observation d429acf9-b05f-40bb-94d5-1fd502e6e826 · outbound

This paper cites The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1.

The second moment of the size of the $2$-class group of monogenized cubic fields The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T10:36:25.246091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:36:25.246091Z digest=sha256:f6f9cc91c485ec280a24fc7e8530d4b49ba8d77e9279ee269fad027aa27c2416

Observation 03f17b40-1354-40e8-ac1a-92562985b598 · outbound

This paper cites Bhargava and A.

The second moment of the size of the $2$-class group of monogenized cubic fields Bhargava and A

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T10:36:25.311493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:36:25.311493Z digest=sha256:ebf9ae3314a6e8d4a6575785b5bde5c18ec572e31b093f75aa17bb8134b88428

Observation 0a780fde-4a8d-4328-a0e1-4ec60eb15091 · outbound

This paper cites Bhargava and A.

The second moment of the size of the $2$-class group of monogenized cubic fields Bhargava and A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:29.116001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:36:25.377325Z digest=sha256:595043fc3323c592eb28e3aee0a5fe668880ee9b01daee3180e8d140466ee1d5

Observation a752527f-3e96-43a3-9a45-538176d4eb9a · outbound

This paper cites The second moment of the size of the $2$-Selmer group of elliptic curves.

The second moment of the size of the $2$-class group of monogenized cubic fields The second moment of the size of the $2$-Selmer group of elliptic curves

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T10:36:25.460877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:36:25.460877Z digest=sha256:1d427ee779858de19a44654f9c9d5eafc7180e4da93bf347338d5312ae694c3c

Observation 2ab693a9-08e1-4ad3-bed9-f4bb361219a8 · outbound

This paper cites Bhargava and I.

The second moment of the size of the $2$-class group of monogenized cubic fields Bhargava and I

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:28.967785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:36:25.542548Z digest=sha256:a5ed9ab2e61ae0f4721d2d4720a29bfc8b28db1a1a3b72b00d4ac6197b1fa0b8

Observation b0a0d530-8ec6-4c1d-bb54-6d8699b91cca · outbound

This paper cites Cohen and H.

The second moment of the size of the $2$-class group of monogenized cubic fields Cohen and H

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T10:36:25.627948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:36:25.627948Z digest=sha256:90fde7ffbf1a9df2e845a241429de3f2587a8be0c038ce934cef5920a1a403e8

Observation a5381712-82d8-4771-8a2a-5b45f3a412b9 · outbound

This paper cites Cohen and J.

The second moment of the size of the $2$-class group of monogenized cubic fields Cohen and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:28.828286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:36:25.717858Z digest=sha256:10b01ce54607554e092901ef8ac606e65d233c5e32cae0d97dc462c1a66766c9

Observation 372e1402-5cd4-4121-a8a0-149599f612cf · outbound

This paper cites an unresolved cited work.

The second moment of the size of the $2$-class group of monogenized cubic fields Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:36:28.701019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a608a285-01e8-407b-b8bb-7272a4a3423f · outbound

This paper cites an unresolved cited work.

The second moment of the size of the $2$-class group of monogenized cubic fields Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:36:28.585017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 94d5db08-1445-4a89-8694-3fe288888ef4 · outbound

This paper cites an unresolved cited work.

The second moment of the size of the $2$-class group of monogenized cubic fields Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:36:28.452218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 91bc7813-aabc-45b4-945b-cdfdf90a746d · outbound

This paper cites Heilbronn.

The second moment of the size of the $2$-class group of monogenized cubic fields Heilbronn

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:28.305564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 75181ac5-547b-48f1-8efd-0a72dc2053b1 · outbound

This paper cites an unresolved cited work.

The second moment of the size of the $2$-class group of monogenized cubic fields Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:36:28.152046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 12616c6a-5144-4fa3-a31f-8268482b0d9e · outbound

This paper cites an unresolved cited work.

The second moment of the size of the $2$-class group of monogenized cubic fields Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:36:28.015295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d52e0cca-5dd6-4577-ae41-70219d76dc9f · outbound

This paper cites Mazur and K.

The second moment of the size of the $2$-class group of monogenized cubic fields Mazur and K

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:27.884322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:36:26.217988Z digest=sha256:f7871f82a86074f34dd7584affb8223e2d4731fc460f45e6e94d569eed389f67

Observation f6659cae-5fef-4cfb-bcba-17d67222d80e · outbound

This paper cites Poonen and E.

The second moment of the size of the $2$-class group of monogenized cubic fields Poonen and E

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T10:36:26.273852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:36:26.273852Z digest=sha256:b49c8953d3d34149013237420f72c7536c673054af71664ec33e4a55f9876f98

Observation cdc1cc3b-6b92-4e38-b5fc-cd5fc019b2ac · outbound

This paper cites an unresolved cited work.

The second moment of the size of the $2$-class group of monogenized cubic fields Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:36:27.756596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 55d3434a-c1d0-45f5-aa17-00292ba39dcc · outbound

This paper cites Shankar, A.

The second moment of the size of the $2$-class group of monogenized cubic fields Shankar, A

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:27.620633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a49d62d6-1103-46f8-ba04-48e905f6f64c · outbound

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

The second moment of the size of the $2$-class group of monogenized cubic fields Monogenicity and 2-torsion in the class group of number fields of odd degree

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T10:36:26.521226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:36:26.521226Z digest=sha256:18a74d18a3d5fbdd6f83ba2cf657c699ea514af581dc65c042bd3ade99fd3c44

Observation f81adb7b-0e70-4330-9eb9-6f11bdebc545 · outbound

This paper cites Siad and A.

The second moment of the size of the $2$-class group of monogenized cubic fields Siad and A

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:27.477361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:36:26.569886Z digest=sha256:18ef1550d3dfe23be5732420c9b94fe369f2b473400c30bc8dd10f89cd96f961

Observation b369491c-ad40-4cba-8d78-a4eb50297088 · outbound

This paper cites Swaminathan.

The second moment of the size of the $2$-class group of monogenized cubic fields Swaminathan

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:27.338240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:36:26.661900Z digest=sha256:9c096e6b98d1cc9c8bb62c75c7d52c3665277dfa9c1a180222721782c5adf967

Observation df992177-7d93-423a-8a28-583683fef51b · outbound

This paper cites an unresolved cited work.

The second moment of the size of the $2$-class group of monogenized cubic fields Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:36:27.202270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:36:26.710596Z digest=sha256:66e355ea0b6d99e5386396c49aead6a8a7d2d440dbd1a9d0e04051ad533a28ec

Observation e0175308-cfc6-40ed-a123-df60f1f2a7bc · outbound

This paper cites an unresolved cited work.

The second moment of the size of the $2$-class group of monogenized cubic fields Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:36:27.052120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:36:26.788233Z digest=sha256:502414bb9fce74b810fc115d00430139238f2237c13baf7c4af525d77a07c8b7

Observation 31521a7b-55ed-4cd5-b697-a0f98eb15512 · outbound

This paper cites Conjectures for distributions of class groups of extensions of number fields containing roots of unity.

The second moment of the size of the $2$-class group of monogenized cubic fields Conjectures for distributions of class groups of extensions of number fields containing roots of unity

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-07T10:36:26.851991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:36:26.851991Z digest=sha256:88bfd9337dd7d213a190821b885dc53d7b043849c385dd926305393a8f59a0de

Pith citing papers

No inbound Pith citation observations are available.