Pith. sign in

Paper Citation Record · LEDGER

Geometry-of-numbers methods over global fields II: Coregular representations

As of 6 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 1 inbound Pith citation observation for arXiv:2604.16978.

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

pith.paper-citation-record.v1
2604.16978 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T06:47:32.731947Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T03:55:48.921447Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-01T11:45:47.026666Z

Reference resolution

49 of 49 outbound references displayed

  • verified exact11
  • verified fuzzy30
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 037f2d7b-1b6b-4bf6-b1c5-970f187e012e · outbound

This paper cites Most hyperelliptic curves over Q have no rational points.

Geometry-of-numbers methods over global fields II: Coregular representations Most hyperelliptic curves over Q have no rational points

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:51:46.353267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:bc5f2085444dcf1d741d6b5e1d34a46cfe9f97e3e291e6245a599ba4fe6ef421

Observation baab17ef-b952-4042-b20e-60126405b0f8 · outbound

This paper cites Bhargava, The density of discriminants of quartic rings and fields,Ann.

Geometry-of-numbers methods over global fields II: Coregular representations Bhargava, The density of discriminants of quartic rings and fields,Ann

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.424660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:638d70e87ee5b491a0b82518f6d4089df83ad96324c68517483db0b8128457d0

Observation 1f1a54f6-ff06-45d5-92e4-f5721140b8f7 · outbound

This paper cites Bhargava, The density of discriminants of quintic rings and fields,Ann.

Geometry-of-numbers methods over global fields II: Coregular representations Bhargava, The density of discriminants of quintic rings and fields,Ann

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.420519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:9142671c608b561f0a6502be00b1e39bfa3c7c02ff4ebbb652c10b2d73ffb2e1

Observation 19d13cb0-0d8a-418d-989b-d838214b0401 · outbound

This paper cites The geometric sieve and the density of squarefree values of invariant polynomials.

Geometry-of-numbers methods over global fields II: Coregular representations The geometric sieve and the density of squarefree values of invariant polynomials

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:51:46.350760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:c5e46473abcc247eee176e67bd4dafc046060a55d783a81b869ae33e20b9a1ae

Observation 318d6e7e-f866-4dcb-b430-af404ba579b0 · outbound

This paper cites Bhargava and B.

Geometry-of-numbers methods over global fields II: Coregular representations Bhargava and B

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.412362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:c9c9a1c726041b047daa6fe62ac7e18927132bc62df53913662964fe2621806b

Observation 0efeaa6f-029d-46c0-bf52-6c2526e89da2 · outbound

This paper cites Bhargava, B.

Geometry-of-numbers methods over global fields II: Coregular representations Bhargava, B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.422287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:b2a1ecf894465a915ace042d11be6bc80fa5d5761c076bf5f7ecac6431ccdd6e

Observation 1546d9b2-44af-47b5-9510-548d3d5015e8 · outbound

This paper cites Bhargava and W.

Geometry-of-numbers methods over global fields II: Coregular representations Bhargava and W

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.412720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:65a05d1673483af641f26d4ae6c1dbb911506c86e953c890732edc3ee062a8f6

Observation 7902c80a-fd76-4f29-9f19-5a7b040cb125 · outbound

This paper cites On average sizes of Selmer groups and ranks in families of elliptic curves having marked points.

Geometry-of-numbers methods over global fields II: Coregular representations On average sizes of Selmer groups and ranks in families of elliptic curves having marked points

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:51:46.357897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:13864e4acffe2a55ce9ce42cede35775636d1b84de7b3b1035dab09cfab67d7b

Observation 2b66e0b5-9d94-4e00-b86e-496c833380fe · outbound

This paper cites Bhargava and A.

Geometry-of-numbers methods over global fields II: Coregular representations Bhargava and A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.406165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:ccc06ba15002f7efab5e2feebb66ead2496877ab1c746cafe40b8ea3df5d6f7f

Observation 1106f67d-2139-4ca1-b311-5844bcf209d6 · outbound

This paper cites Bhargava and A.

Geometry-of-numbers methods over global fields II: Coregular representations Bhargava and A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.404282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:223da8e88726f011b90ed3cc43d4753d568b7e30a7fe1fbcfe8b70a6623c336c

Observation 78f12e84-b41b-43d8-b801-30665e0447f3 · outbound

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

Geometry-of-numbers methods over global fields II: Coregular representations The average number of elements in the 4-Selmer groups of elliptic curves is 7

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:51:46.360298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:2f5d0be2955a73c6be9268afa1e5757fbbb31b0fdfa787884185db21a5947392

Observation ac342359-aebf-4960-8479-16765be6aa7f · 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.

Geometry-of-numbers methods over global fields II: Coregular representations The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:51:46.355591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:f224cb1a1870ac23ac6fc49a6f29a02eeb01ad8d82f56e74158d6c7d8afb7cfc

Observation d02b3a87-e59a-4338-a947-71a62c56322f · outbound

This paper cites org/abs/1512.03035.

Geometry-of-numbers methods over global fields II: Coregular representations org/abs/1512.03035

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:51:46.345762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:68ee949d0e01c66116252ee9b79b1a1b097641b997eeb009c2bfd2b7e9294215

Observation 8f2ae9aa-d5cf-4bb1-ac86-8ead4deb57a9 · outbound

This paper cites Bhargava, A.

Geometry-of-numbers methods over global fields II: Coregular representations Bhargava, A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.400223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:b7f62b20133a4a05ef9aeb265088eb797b4898e2549392d1ae1ab1e1b05124b5

Observation 758acd22-2aa9-40f5-949d-88a3447ebdbf · outbound

This paper cites Bhargava, A.

Geometry-of-numbers methods over global fields II: Coregular representations Bhargava, A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.408323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:fb7339d1e46645c0fdcc9a2c9723e466e3694560a75475b6e37bd982e9fb4f1f

Observation 9ca33663-a44d-4ef7-8281-5c7995070e45 · outbound

This paper cites Bhargava and C.

Geometry-of-numbers methods over global fields II: Coregular representations Bhargava and C

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.410125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:f495139e5023e7a02cb3c19f8d6cec918bb43704360e2ebe0fc65f756f5ec0c4

Observation 04d6e9db-6ed6-46cf-aca2-c307adf51bce · outbound

This paper cites A majority of elliptic curves over $\mathbb Q$ satisfy the Birch and Swinnerton-Dyer conjecture.

Geometry-of-numbers methods over global fields II: Coregular representations A majority of elliptic curves over $\mathbb Q$ satisfy the Birch and Swinnerton-Dyer conjecture

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-04T18:59:58.903159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:5e8b3f5ec80befe3811fdcf7fdf3a8266e021e5cf455efd403647595d8602384

Observation c293058f-23af-48a4-82d5-00ca42b5e957 · outbound

This paper cites Bhargava and I.

Geometry-of-numbers methods over global fields II: Coregular representations Bhargava and I

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.414284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:edfb4e39a8e1ebb676d91e94e2f75724e7201a09d096b3910285955e5f117283

Observation b7819fcc-8938-4fe1-b857-c4ed9167e15a · outbound

This paper cites Bhargava and I.

Geometry-of-numbers methods over global fields II: Coregular representations Bhargava and I

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.418519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:6bb95c84138de101893763d514b4053f1af4d92396ece7db8625892442a7cbcc

Observation ab0dfd3f-ba05-47ca-8615-15fa95b30228 · outbound

This paper cites Borel, Some finiteness properties of adele groups over number fields,Publ.

Geometry-of-numbers methods over global fields II: Coregular representations Borel, Some finiteness properties of adele groups over number fields,Publ

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.416377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:735d8487a6a253b697a6269aa51ad0f0e96fd8e0c80c0affd64852b6a58dcdd6

Observation 24b5af46-bb34-48e3-bd2a-bc4aa2837f88 · outbound

This paper cites Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups,Ann.

Geometry-of-numbers methods over global fields II: Coregular representations Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups,Ann

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.381187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:9993f1b7c91318b727f57b07c111ecd5bdb67aa3e8b62c770e4bf8ec50045c7c

Observation 19e470bd-d50c-4829-a439-7d72501c5812 · outbound

This paper cites Borel, G.

Geometry-of-numbers methods over global fields II: Coregular representations Borel, G

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.374967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:31a0ec1e7cae5fe9714ab5113444e95779e267ece4ed396c3bfcf1e59d35f94f

Observation cf617b09-0944-4908-915f-94ed17d6b092 · outbound

This paper cites Conrad, Finiteness theorems for algebraic groups over function fields,Compos.

Geometry-of-numbers methods over global fields II: Coregular representations Conrad, Finiteness theorems for algebraic groups over function fields,Compos

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.375944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:0ac4b947b70c9aee830f13c12f32342575d89d0c0f5eda46437b6c5d68501970

Observation aff3bc89-1cda-4237-9cc4-93f5721e601a · outbound

This paper cites an unresolved cited work.

Geometry-of-numbers methods over global fields II: Coregular representations Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-05-21T15:24:15.373452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:55bb40f48ff9a648eb55de352063503733bac295954233004e2be8cce6b28919

Observation 1bdc25e9-6140-4ed8-8539-91d75c7f0d32 · outbound

This paper cites Davenport and H.

Geometry-of-numbers methods over global fields II: Coregular representations Davenport and H

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.348452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:901fec8e86845ca6e6e31eea204406df40ea1073a7e1bdddca83cebd3bed91ba

Observation b25970d0-8966-4b6b-853c-9173b1cbca6f · outbound

This paper cites an unresolved cited work.

Geometry-of-numbers methods over global fields II: Coregular representations Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-21T15:24:15.346135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:a40daa96d68a75c7717dbf0e0578c434392fdf77186b175a40c98524de0dcb2c

Observation 0c8cfcfd-5e6b-4106-a3b4-da934bf13f57 · outbound

This paper cites an unresolved cited work.

Geometry-of-numbers methods over global fields II: Coregular representations Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-05-21T15:24:15.396274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:2613b1c274af4ef1f3290cdd2ec37624c4acab21eff3540e086a53eb4ec34cf5

Observation d8db48c8-30bc-4d6d-b1e1-93ef4e1e6b21 · outbound

This paper cites Fisher, Explicit 5-descent on elliptic curves,ANTS X–Proceedings of the Tenth Algorithmic Number Theorem Symposium, 395–411.

Geometry-of-numbers methods over global fields II: Coregular representations Fisher, Explicit 5-descent on elliptic curves,ANTS X–Proceedings of the Tenth Algorithmic Number Theorem Symposium, 395–411

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.356757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:34486abeda548e00053d43de4a9467d2a8972693c59c2822b25af1441ad81ec0

Observation fd1a4671-5f18-4447-8ea5-fe6460f53847 · outbound

This paper cites Goldfeld, Conjectures on elliptic curves over quadratic fields,Number Theory, Carbondale 1979 (Proc.

Geometry-of-numbers methods over global fields II: Coregular representations Goldfeld, Conjectures on elliptic curves over quadratic fields,Number Theory, Carbondale 1979 (Proc

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.370436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:b8d450dbd9c25691beacd85c1c59df24d554e26b634ede1cfbe2e67387b54235

Observation 03a69577-2b69-4bad-9fe4-17a590aac260 · outbound

This paper cites Laga, Graded Lie algebras, compactified Jacobians and arithmetic statistics,J.

Geometry-of-numbers methods over global fields II: Coregular representations Laga, Graded Lie algebras, compactified Jacobians and arithmetic statistics,J

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.360473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:c0a7bb215468e71636f7c184ead470085be9123912fa8155b686f411d76b66e9

Observation 324b688c-c679-45e3-b929-b4a0ff742271 · outbound

This paper cites Laga, The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3, Algebr.

Geometry-of-numbers methods over global fields II: Coregular representations Laga, The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3, Algebr

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.365578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:01fa684f1551c018df84017616e65f4d51992a5f03fbaa707f484e219d999f42

Observation 23756996-090a-4557-afab-5116edb7d07b · outbound

This paper cites Average size of 2-Selmer groups of elliptic curves over function fields.

Geometry-of-numbers methods over global fields II: Coregular representations Average size of 2-Selmer groups of elliptic curves over function fields

Reference 32

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:51:46.338355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:f3caf855a39774bbe3f819b3d1836827f15c8e68a0516310a934f742116c666a

Observation 152bf311-6ae3-4524-b0c9-71c6bc838fb9 · outbound

This paper cites an unresolved cited work.

Geometry-of-numbers methods over global fields II: Coregular representations Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-05-21T15:24:15.385733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:e83fd2604d93cf7412809fdc2ed6ff29c4b9fda8da263237d83733dab3bd26e7

Observation e9ed45c5-fdd2-4a65-89d5-4d5c017c6fdf · outbound

This paper cites Geometry-of-numbers over number fields and the density of ADE families of curves having squarefree discriminant.

Geometry-of-numbers methods over global fields II: Coregular representations Geometry-of-numbers over number fields and the density of ADE families of curves having squarefree discriminant

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:51:46.336020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:96c34b4bce272d0c42a0f37e40ed7dbefdc83eb6b0dac097ae1117bc04334bfb

Observation 77eaa942-19c3-498c-933f-82547484394e · outbound

This paper cites Poonen, M.

Geometry-of-numbers methods over global fields II: Coregular representations Poonen, M

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.358641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:2ed185f8fe5377528428977823b25e605b2a49bc798c1114dad27b2ed0e3f0ba

Observation 868ccc59-04f6-4196-a1d2-5bdc05e0f5b8 · outbound

This paper cites Poonen and M.

Geometry-of-numbers methods over global fields II: Coregular representations Poonen and M

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.398209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:d0e4bcf6c7bfb6d64a78fe15d61bef8967a298b7b7a2f13b002b69d4b280e87b

Observation ccf78f11-fd75-4a0d-ab0d-677cb5f30557 · outbound

This paper cites Romano, and J.

Geometry-of-numbers methods over global fields II: Coregular representations Romano, and J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.362778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:a593358f646d65a3b4ffe727d14c4cfae0823f689344a58c6dd1f15fe61028ec

Observation 0427667f-0c26-4623-8cd6-ee1108438283 · outbound

This paper cites an unresolved cited work.

Geometry-of-numbers methods over global fields II: Coregular representations Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-05-21T15:24:15.368493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:6bd494fda673afb4890f46829ea16e0895abcacfdded684ae0f6d49de7025b8b

Observation 3ccc1906-2091-4f7d-92e7-5cc605af4fff · outbound

This paper cites an unresolved cited work.

Geometry-of-numbers methods over global fields II: Coregular representations Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-05-21T15:24:15.370942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:5847fd5538b2be5e4fd412ab8aee7d561925c4930a10d632ceb9654e3f2efe25

Observation c6fd0a30-b6d5-4d8d-ae18-d3db1477e89e · outbound

This paper cites Shankar, The average rank of elliptic curves over number fields, Ph.D thesis, Princeton 2012.

Geometry-of-numbers methods over global fields II: Coregular representations Shankar, The average rank of elliptic curves over number fields, Ph.D thesis, Princeton 2012

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.383506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:ebc30745b4860ac4d5494d72c6a806b65398c67170d99a04d6e6df91a99dd74d

Observation e7038dc0-9f05-4898-950c-0ab73fe47d65 · outbound

This paper cites Shankar and X.

Geometry-of-numbers methods over global fields II: Coregular representations Shankar and X

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.388291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:d29d64519dddab26b7cbe1e7908baac93ace3df215de9df7cdb169583d7e7a1c

Observation 3f09c698-47a9-4bb6-b377-cc0ba8b7a129 · outbound

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

Geometry-of-numbers methods over global fields II: Coregular representations Monogenicity and 2-torsion in the class group of number fields of odd degree

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-07-09T00:19:08.770646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:b55bc761cc06a68f6942b2cb85bc33dc7b516a0dc941938753beeeff43845b1c

Observation d532aad0-d448-4e3d-bf28-1a2f2f575bd5 · outbound

This paper cites Monogenic fields with odd class number Part II: even degree.

Geometry-of-numbers methods over global fields II: Coregular representations Monogenic fields with odd class number Part II: even degree

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:51:46.343370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:314b3a66a0932a9bef49e5cc78082ea7346481471648d48c00a132a0dac88b3e

Observation ab94d4e9-d42c-44bf-b1e6-9bab590664f7 · outbound

This paper cites an unresolved cited work.

Geometry-of-numbers methods over global fields II: Coregular representations Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-05-21T15:24:15.390418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:e49a9e482b8c2ce424626b0a9248ae70ca9e114b94134947f192f1c2f42f5047

Observation bf059a06-7976-436d-bb21-53c996d9177c · outbound

This paper cites an unresolved cited work.

Geometry-of-numbers methods over global fields II: Coregular representations Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-05-21T15:24:15.394579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:24f00700b5b4ff0c94a57647b59042905297798351b925de1a735e9922392ae3

Observation 1aa49eaa-4221-46dc-90af-652770cbd04a · outbound

This paper cites Thorne,E 6 and the arithmetic of a family of non-hyperelliptic curves of genus 3,Forum Math.

Geometry-of-numbers methods over global fields II: Coregular representations Thorne,E 6 and the arithmetic of a family of non-hyperelliptic curves of genus 3,Forum Math

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.350604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:6d51a744bc0f490ca987c9a5475078c3957d8f2888843143b1919ae66fb9d9fd

Observation ca56dedd-0f68-4485-907b-ea07f5c6e140 · outbound

This paper cites Thorne, On the average number of 2-Selmer elements of elliptic curves overF q(X) with two marked points.Doc.

Geometry-of-numbers methods over global fields II: Coregular representations Thorne, On the average number of 2-Selmer elements of elliptic curves overF q(X) with two marked points.Doc

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.378920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:747aa0519ea21d72d31d2c8bd0ed75358a159600f4198841bf7f5623c66dafa9

Observation c4c42b71-cfb2-4e27-9dad-595a016f4b51 · outbound

This paper cites Wang,Maximal linear spaces contained in the base loci of pencils of quadrics,Algebr.

Geometry-of-numbers methods over global fields II: Coregular representations Wang,Maximal linear spaces contained in the base loci of pencils of quadrics,Algebr

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.392781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:e215674724eef995f1203d87c944a6db6bceeece0acdedeff8a4832278c342fc

Observation fce10c6f-f463-4978-9ab7-f4b6c984bda5 · outbound

This paper cites Weil,Adeles and algebraic groups, Birkh¨ auser.

Geometry-of-numbers methods over global fields II: Coregular representations Weil,Adeles and algebraic groups, Birkh¨ auser

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T15:24:15.354651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:490bf4cb05c2005c868e0dc9e6e59e745bf3fbd1b8032bffb44edb45187b2004

Pith citing papers

Observation b26d25ee-03fe-460c-a8f6-0b706206b5c6 · inbound

Tamagawa ratios and unbounded Selmer moments cites this paper.

Tamagawa ratios and unbounded Selmer moments Geometry-of-numbers methods over global fields II: Coregular representations

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-07-01T11:45:47.028648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:b24adfa1095b49219139e02871b951893056287db821fdba4dd9fb24f507db40