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Paper Citation Record · LEDGER

Improving the trivial bound for $\ell$-torsion in class groups

As of 18 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2502.03464.

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

pith.paper-citation-record.v1
2502.03464 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T04:52:54.954381Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:53:19.016133Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T04:53:19.142420Z

Reference resolution

27 of 27 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 91d54cd5-40a6-4d80-9c7f-c396f7d99d07 · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:56.221540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.547117Z digest=sha256:3dedb579f8b1f37e7f59afcc09fbac0573d43da4be14886c7190c234768d7ecd

Observation c180248a-c609-41a1-b2fa-916868ef0c11 · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:56.153692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.561290Z digest=sha256:849e640c3ce7da1b609a0917de7ad7c393cba61cfcc48a85505565397424e7ae

Observation 831dbdd7-50a4-410e-abf1-17d6513b883f · outbound

This paper cites Brumer and J.

Improving the trivial bound for $\ell$-torsion in class groups Brumer and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:52:56.046416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.596008Z digest=sha256:22142c5b01ffebd76a988b1f86a822438e920ac611667cdc8e168b94aa29f026

Observation e3941d82-9f7c-44ef-a31b-993e5b741d7a · outbound

This paper cites Bhargava, A.

Improving the trivial bound for $\ell$-torsion in class groups Bhargava, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:52:55.955279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.629172Z digest=sha256:e52d1177c2161d190e740083e2498f79ae8035fd8f98877c4ae676f568a8e303

Observation 5bcba332-a78f-4559-bb0b-c3500cd764df · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.876375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.645448Z digest=sha256:a671ab22220dfb790791bfdb58eb8d3e1c5c1d2baa27a795b0ed48af59c450a2

Observation e0db2479-0411-4c33-85e3-85bf16c78f20 · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.843328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.678595Z digest=sha256:80b209dc24f79fa5083805eccb9c821f1d81f74340f804c20de9b04ce45a82b0

Observation 9d9b8717-7cf3-453b-8757-05b24dde17f1 · outbound

This paper cites Frei and M.

Improving the trivial bound for $\ell$-torsion in class groups Frei and M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:52:55.828138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.709325Z digest=sha256:6198b4c730f56116e6449c635b08bc08a1d8835bd37148397a4bc98404574a57

Observation 0ae80abf-95a2-4768-aa4a-6aee637d1a92 · outbound

This paper cites Frei and M.

Improving the trivial bound for $\ell$-torsion in class groups Frei and M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:52:55.813302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.743849Z digest=sha256:b3530ad5e51759800a0b32ee4858facfef99b0bbb5f4a016bb41d0177fc25822

Observation 038b5538-06a3-42ac-a0a3-9ea4d539321c · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.797221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.777616Z digest=sha256:2eb2fc13c897a47e56bcd9cbfb7c59da634bace5617c0efe0a4fb40b3a1dcbbf

Observation 44f56586-22a8-4490-9fe4-f723283a0edd · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.779941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.827289Z digest=sha256:0e3771dd91d0374833514afa7d19d5a58bfcf3fd602eecd4051b0281f73674f7

Observation 10a7b4d8-29f7-4773-9e96-e16bfc4042ac · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.689116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.854534Z digest=sha256:6ec7575f4ad63d7d94cd8067e06a5fa96675916b4e2ac860a987b31a746ebde9

Observation 39667daa-0b0f-4d6f-8f48-b7cba0cf8a17 · outbound

This paper cites Koymans and J.

Improving the trivial bound for $\ell$-torsion in class groups Koymans and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:52:55.649218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.881683Z digest=sha256:6a0293f78dfb5fa20f469b95390d72676a93ec6647da0aea565e28bb022d7afd

Observation 44b8a6df-76a3-4609-a0b5-1cffa198def3 · outbound

This paper cites Kl\"uners and J.

Improving the trivial bound for $\ell$-torsion in class groups Kl\"uners and J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:52:55.597134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.886633Z digest=sha256:2b30aea4adbd0fa06daf115e16efe8524a7743879aa05a00b3cdd8a6271a5a0b

Observation 5adcf706-72ab-45a2-b48d-7e7328e64a66 · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.528001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.891481Z digest=sha256:b40a4a5a8112f0ee698496fbdbf4336d8b50ddba0c4178b087446aeaba3494f1

Observation 59a12d00-8482-4b1e-9744-1e57ae6ae43d · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-09T04:52:54.896228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T04:52:54.896228Z digest=sha256:ab4de956a465c6c083e407fb4ac92de0c2970285c55abb585be6e8551173dca7

Observation 6513a091-5ea0-47c7-b258-dc7139c8a433 · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.483716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.900943Z digest=sha256:bc94dc82e216f4cb72b04bac2bc82407b87887fe9c4a33d3b3cc45a4094f19be

Observation ccf19b92-3850-47e3-9c38-b0df08ebd613 · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.363590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.905605Z digest=sha256:1e8092b316ceceffb7cb46fc002e1b30f55c090ad724dc176a3263c2bfdba3e9

Observation 461dbecb-56ea-4cd9-8882-7b707fc822d6 · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.347654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.910796Z digest=sha256:3d862f168080ed2d7ebd573e5689d7e150ad02a401cd0518c91d68231582705a

Observation 522934d0-24b2-49a5-ac81-b383a8d3f1eb · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.313202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.915523Z digest=sha256:560f573ce9e4818af1468c0b25e2a40e2e84bccf06c2dee7f398d6a65e65d540

Observation 3421b3fb-df4e-43a5-928b-23044a045e89 · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-09T04:52:54.920203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T04:52:54.920203Z digest=sha256:db0e0f4f89301620bc5e7b9e7d23ded999a1f5677901f7b15e13a4519ec75bd5

Observation 4f0e94dc-a853-40a2-b34d-a15f28f15cc0 · outbound

This paper cites Rademacher.

Improving the trivial bound for $\ell$-torsion in class groups Rademacher

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:52:55.254584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.925405Z digest=sha256:948631082e990d74afd4d36144fbd6971f681b45f26a04508d12b39403ed10e1

Observation f19c9ae0-20d1-4dfd-87c0-da66cc611a80 · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.215830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.930194Z digest=sha256:a863194508d41ce6f4af6a7c0a3245092199976aa5419402cd956f7d2d11fdca

Observation 978a12be-697f-492b-96e1-f20983c35c4b · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-09T04:52:54.935160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T04:52:54.935160Z digest=sha256:81c11fcf85c1247b7ff7b7e777ccf01208d4350fcf7026b5c41f3d6eacf7e263

Observation 16e7376e-b25c-41e2-8552-f5a785967a85 · outbound

This paper cites Thorner and A.

Improving the trivial bound for $\ell$-torsion in class groups Thorner and A

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:52:55.154943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.939874Z digest=sha256:8fe41dd49150f897f0793dad0bc1fb67a727c66ac5c52d5f88dbb8cd7e6bd039

Observation d2f64208-b32d-4ec3-833b-1e4f1f760599 · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.099680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.944637Z digest=sha256:ec873ffa7ed647f4d429ca2543f8bfe7812c6f62a3f164e8602212b9c3962476

Observation add58033-c50d-427d-b7dc-81c729d5f6ed · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:55.043132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.949556Z digest=sha256:8738e17c1245d485c74df791927ac5fdf8f7256895bce8690ebeaac5362b2806

Observation 41eb5cd6-ae20-4477-995a-a0fc943539cf · outbound

This paper cites an unresolved cited work.

Improving the trivial bound for $\ell$-torsion in class groups Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:52:54.992752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-09T04:52:54.954381Z digest=sha256:9fc516dcc61156ea1bfa66dbefec7f24e19b4f85f0685d64172f396ddfe73713

Pith citing papers

Observation 0cfae27c-87d7-4574-b72e-7c8510de11a7 · inbound

A new pointwise bound for $3$-torsion of class groups cites this paper.

A new pointwise bound for $3$-torsion of class groups Improving the trivial bound for $\ell$-torsion in class groups

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-16T04:53:19.148326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:53:19.016133Z digest=sha256:d82cdfea782403cc7524a956dd06c6b8dd3404200f360924737a93ce3f21f8a6