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Paper Citation Record · LEDGER

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

As of 10 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 2026-08-10T06:31:04.303077+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

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:25a785aa7a5b649dad49d5e2de4b6c4b8c08e44b437792fb4c19f5e89dfa1fd7

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

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:ef4c851e323086b1a5ae5272f24584798338d885888769fe779d74a5362a702f

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

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:145bf6b7c24fac9d8ab5f81f6d9887d7a42cccf46a737b70351c05d03039772f

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

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:b94a7d1e0ab7618d1f9b539894e60a7ff09553f5ddf4a59a55645b471a30e653

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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:fa10d47eb4fe89d8f77aba49e4f92d58522f0839172ab36a59e7392efae474bb

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:b17a00c538c79d698239d58a685f1eb9e668a49a93bceae9233976aa3452b8e9

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

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:b81f4f0ca5fca59a221fcf5628bd9ac5d24efb59c2d67625a0a699702ebd1b53

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:4b862d287b77b6e5be5441139cbfe718f4355677072b71cee2d7924be7638b31

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

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:39ff834f6e515a8f906f26b8aa25981a65eed962ff0a9afa4be41f697936480d

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:fb2b5f83e888c1f8cfc34ac22c1be112a37da37f6a9e2acbba6f85d1ed418536

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:304741748696ab2572a690148eadd5682825366ba4e82a66b82b97a13cac3f99

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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:616ad11836d6c665e1871cf7afe4a911aedf8770058fb02462739f73f81654f8

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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:ad4168dfdfddbda370c181b65523208a317459895b74c6bd4ef85aa267ba1dae

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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:a3f37f0843485f34230f75e12c2ca255b8e6d39448678aaf345623e8f64ad0a2

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:d370d6f7f57f82c55008dcaa812ea29771cf3ed311b36f7193242a3e2aab4de0

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:557f61cc0015331860327af011cc2c2383625687e15628241ad55e1eb619dec9

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:8a5393c8b00c3dee9c73b309cdd580fa8db6b7e152ec09d3733a96582e5f0790

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

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:d0e19f0a5a735ca230fb0a506bd3f86cb909d9bd32ccddb4bc1e7e4313d85281

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:f5fa7dd601fd5754790e5ed0481c51ae552db39e2c5b7132ebc951cbc20e0bad

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:7f485ad183cbbe5692c4f0c47fdce2d354ae91dcdd9a07e649820490b029c4f7

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:719a10babd3fe588921d1c684f21d21e23468fd53da93907b9db202a41986b2b

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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:071dccc4d7eb99b3da70dcff9a3f680f4c7f6dc63b011a69d2820e4a9390b2d6

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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:195af01f3c391f060f510f187826621509d3a4f70827684f22ae4174ec579845

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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:b700d223048167cc69e95441a73d92442bce3c366a7399bcb49e9114bfc70a93

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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:bfd59af7ac158c484d8d31ef97822f2c01edb30b65dcc4e5437f66d49c8e3026

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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:e0f977374204c52b089eab50cef168b4c8c0b4760cddd9175d576fd07947f0a8

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

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:dad3a33c09ad9451bf9901ccba9690ed004cdd42de739ed10f04d6eb463fe6dc

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:8668896d29dfe0ce58635f187f3e3bba2b616d57f15418e09985f3b516305489

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:b46532cab88878c9553cc40eeb86377dc5d810e8d094572e813c2ab682ca3a8e

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:204b34a4287b9e0486502babd7964a9e5485552c32c39b75f1b8d48745469c6a

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:6f8967d206649d65a4df016fc282559baa001a5ec3414cb2519527ba3c30a335

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:15697a04b0912dc8fb799d1dc40e9fb1304c3c99995e4174527fee50afce03c8

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:c38de2aa9db34f83253db051730fbb3380d60e9674f90aa274d8469bbadf1f3f

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:43372997acf9421ab5ea0d6374c52965bc4334e6bc2e4a972b155b54adbe00fc

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:90e9306fc95098a1d99b01f2d160dfaa98d86873ad353a744a6a9a809aaa9704

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:9df807be51e37b8fc0767a4e3260f0f92cae36968e90d8007f799cb1f9df4d65

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:3b3ee3541e4bc03f796792b9981cbaa526198156069d8aede62e4b947071b528

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:cb7474f656942afef6e952a0a7916975292ec665b51f9569c9538ebd6cea366f

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:26e3346b9af385df6cd99badb37180bd6256f4a9fdba1d7b12715074716a53e9

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:96b98b446e833d9f2fa4681fb02f2858b769b32f1363d5a4fc6aa0f2487cb41b

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:b7f2c1d3c6fbeaf49c3a66654fb78ff54169f4dc31cf883b39fabb8f47e3e091

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:02e7b0393088062dff0d5943a2db1db602089d2484ded6d90dbfe45b91bfc65a

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:b556888dd29c0161d0654c9850198e23a403cbd47c83ae8ea4cd015fe77198b1

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:6643a3d241e049f69cf33a67c482ebe0315de34a522e6064caaf9302fa463e0c

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:2c681a45412fcb361fdb71eb220784028b9f19428e358cec52bbb4e6303b3d85

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:943072f2400be1cc65031c5664c812c4b9a9a03eee10821a75181d81617ad8a4

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:9ba968771ac6580c0a5cacd9fc64044ca955e317c8d6e272c9b0576c3381c1b6

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:719aefb92d4d2a016c2a554956ac96096d6eeada3ef400df84b31d389ed3cb95

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

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:ee17460ff11138ceba192ce9dbecdaa09814d3b2f0e55be72ca79ff3a3942c20

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

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:2f18f776c08854ab15af7fed3fd5e8690e764ed4ae2f9fa191fca175bd7a6c4d