Pith. sign in

Paper Citation Record · LEDGER

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

As of 10 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 2026-08-10T06:31:04.303077+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
  • metadata mismatch0

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:24.909915Z digest=sha256:462bf654c39ab84a3c3a92560c24e3a4fdbecca7988f0ae6b23ec1fed6850fe0

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:24.973564Z digest=sha256:19e722ec7a54f2daacac52e23c4aa542ded247762cc9708e29df9bdfccf37a9f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:25.070376Z digest=sha256:c188b22cdb7f5761428c646408f74e85477a30ac31e3910b9993714a67b378f9

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:b7691ee83df55372e7a2e187e59eae58551ec18d5baac893cd66b82d24629e65

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:f17baf89aa6a566c095e9dd9ff60ce1bbf6ab71af3711b2d1296e5cac3ef6651

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:f86fc583d6a21f8adafb1cdb98d378a751bc8d4fc2294bc9db11ab2fc37ddddd

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:c6465afa7796e713425b1c8698aeb7459797f2fe9d05cdfe0136c402fc9b7f8c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:25.377325Z digest=sha256:428a0e1430ffbc01ff50fab7de3c42c10c71e175c14e13ea47981e69684ff0af

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=sha256:33fa8f6d85ea968f30e9e69f94e14fed16db5d6504197d487b16b360a368eb92

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:25.542548Z digest=sha256:964699aa64cb62149c357698fa9fed5e1c6382a8c783c30d94dfa55e901a431b

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:bc96222f8ca6e96548863d1d82918b6ea8439e2e08a6fb566b3d29245ae8ebcd

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:25.717858Z digest=sha256:50476520221bb33ee0e136dea12708498fc0c5f5463d7311b199006d122985a2

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:25.774189Z digest=sha256:210bf479cb6597549ad4f1f95298a21e6f6ccbc6475fe556995850070115e0dd

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:25.866716Z digest=sha256:4bc7e10c86542d05ac2db4b6863a549112381bfff3e142bb4c9c16089b80287e

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:25.959511Z digest=sha256:0fefc7950a8f971ace1baee57117a864bf7c95b4b9f55ff2bbae026dc4698666

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:26.048545Z digest=sha256:70b721e12db6584c68371eb7e755415b0210074cf2e7b80b8a1f9928ade86bc1

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:26.114396Z digest=sha256:b88fb54b49999932e2e756dc44caf039c96520ea23e3a44adf358161a5dfb918

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:26.172034Z digest=sha256:89d6861559e71ce4de05dce359ff2603157a7c31f1f5cd39deb98f7aa166b4f8

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:26.217988Z digest=sha256:a55e231cdb9811148bbca265016218d42eb68c98d82588cd30691e172de90184

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=sha256:67038fc5f763d59e1128a06aa3f29312265251925c266351832051869d880789

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:26.366369Z digest=sha256:23ae352960bb152f8f219435ecbb46f55f70b921daec45bcf95bd017bcd38336

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:26.425546Z digest=sha256:957e10a607da39b2c4cd37ef57288e66e4e0b4c8f34a13ab66750c78638b3c53

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:e133cd218cc4d9b3d1641f90d925daa9c58a5727746620798827725a12eca34c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:26.569886Z digest=sha256:1e23a7e816616f27a9e0e6313267dca23ceba87698133836d85906aa28acad7f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:26.661900Z digest=sha256:44a63ceaa9e0d21a29779b265a6f96ffcde71a16c6d13a3d64cd623f5072afc9

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:26.710596Z digest=sha256:6298c99cf882efd45f22644604ded96d909b10c0c97eee655795a93d984815ad

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T10:36:26.788233Z digest=sha256:97a9db2c74fde2e723e64db0b5303e9ff743da9185b32cc9887fc77370f39369

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=sha256:35e6e678b878e93d71d062197a2cd4dd4d2879674223d329c82e91d2826d2652

Pith citing papers

No inbound Pith citation observations are available.