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Paper Citation Record · LEDGER

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor

As of 9 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2608.03651.

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

pith.paper-citation-record.v1
2608.03651 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:35:54.316065Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

23 of 23 outbound references displayed

  • verified exact2
  • verified fuzzy12
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e774ce1a-b4fb-443f-ab33-90022395af7a · outbound

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

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Bhargava, The density of discriminants of quartic rings and fields, Ann

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:54.655341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.222756Z digest=sha256:3c90d5f828db0023567e61f9931bc2a6b4c7c871379d14640484eec98589b6d3

Observation b80779f0-d125-4bd4-9ab6-d18f48027e88 · outbound

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

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Bhargava, The density of discriminants of quintic rings and fields, Ann

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:54.642361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.227518Z digest=sha256:de424c5ea52957a53bdaba9e4c6590a24c12d63d2f756a2966a771ad8b90bcd5

Observation 024d2152-0198-4fd8-b2e8-e816c39cbf31 · outbound

This paper cites Borel, Introduction to arithmetic groups, Univ.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Borel, Introduction to arithmetic groups, Univ

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:54.629168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.231747Z digest=sha256:20b32c77b68f432da26a5aa75cfde4f7417518b95841ed6a4ca213245e67bfff

Observation 9e906507-b264-463b-990e-7596fc671e02 · outbound

This paper cites an unresolved cited work.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:35:54.616719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.235916Z digest=sha256:fd4455f811ac8b0c70ea9c4cb6258f49c1d38f29842d0f729def1d480a991908

Observation 39fcc911-b98a-42d9-829e-fdcbfc82a7da · outbound

This paper cites Cohen and H.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Cohen and H

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:54.604023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.240145Z digest=sha256:2c00ac662e32e95887957a84a1c1350764178c9525cd1f3483752242ad4410f8

Observation 2efcf19e-81c3-404b-bb33-2996abf19882 · outbound

This paper cites Couveignes, Enumerating number fields, Ann.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Couveignes, Enumerating number fields, Ann

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:54.591530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.246327Z digest=sha256:4df8f3c4762dd7d597ca24a668d6e6faeb814ad1b2415d9c389a99ddaf854e95

Observation 3e1134c5-e06e-4d45-a656-731a4d0e10bc · outbound

This paper cites Davenport and H.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Davenport and H

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:54.578181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.252149Z digest=sha256:e90eda4761b215507a6f57f587d984226f5bb6d780862b64d511c4b50d4c4f32

Observation f273b676-638e-40ae-88e1-0c40fd994f03 · outbound

This paper cites an unresolved cited work.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:35:54.565361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.256013Z digest=sha256:da0d89aaf8b943186c92684e6b1c8e1cd87d127f729c1bdfcaced6133be17550

Observation b8b634af-64d4-400c-b2b8-d598f952b35c · outbound

This paper cites Eisenbud, Commutative algebra: with a view toward algebraic geometry, Grad.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Eisenbud, Commutative algebra: with a view toward algebraic geometry, Grad

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:54.552589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.260066Z digest=sha256:a4a5b886135266740172b593f37e8bad2ff7de34bd55f373f83b43aa28fbe6af

Observation abbfeca7-aa57-47f6-8c6d-242a97ef01c6 · outbound

This paper cites an unresolved cited work.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:35:54.539370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.263895Z digest=sha256:305d7725ef58c3e5863221607d505d3d5a884487fab24df5010c0a3d7aa09f50

Observation e0767186-7552-4a13-a8d9-21fdc63dd8d1 · outbound

This paper cites an unresolved cited work.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:35:54.526060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.267711Z digest=sha256:a6886b5ec4735c851f65313cb828839582051f72f2bd0853d7c789c63c367005

Observation e6ad8de1-f7f5-427b-b99a-026af63a9fbc · outbound

This paper cites an unresolved cited work.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:35:54.512764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.271577Z digest=sha256:1be2adb41ab86af01adfc296827926799718312fe6bb34dc78ff490edd98e490

Observation 12ed020a-a35e-4b1f-b180-36d45e48736c · outbound

This paper cites James and A.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor James and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:54.499332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.275690Z digest=sha256:74be367d87df81c5bd01b0b8e261d077cb17f92f0e4da15e0c4ec1bdfa82390d

Observation 8585dfa9-364b-4b19-b51a-5c1592352c08 · outbound

This paper cites Lee, Counting3-dimensional algebraic tori overQ, J.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Lee, Counting3-dimensional algebraic tori overQ, J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:54.486092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.279864Z digest=sha256:2729e9d22dda97bb24dc7876be45f0a7ab8fccf84b8590296de3b8dec1b263f2

Observation 5ee5ee90-5095-4d81-97ef-dcf17c69d685 · outbound

This paper cites Counting algebraic tori over $\mathbb{Q}$ by Artin conductor.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Counting algebraic tori over $\mathbb{Q}$ by Artin conductor

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-05T15:35:54.375981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.283805Z digest=sha256:bc55ce271d8981303c8cdf975d2b9335676a1c22cb049564004b2d82d3ca8927

Observation 5c22046b-2183-4fce-a4e3-faec0939b162 · outbound

This paper cites an unresolved cited work.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:35:54.473158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.288476Z digest=sha256:ae597463ddba5e3f41b8e8763b3a55ccaae324e125d79b959d94a31ad247443a

Observation ad3a5a1c-9501-41e8-82b0-1a7018d04cde · outbound

This paper cites Neukirch, Algebraic number theory, Grundlehren Math.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Neukirch, Algebraic number theory, Grundlehren Math

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:54.459716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.292607Z digest=sha256:015e3cac853698dea42bb1471b0666124ef6cf529450635c6a3fea0b2de2f04c

Observation 292f13df-c128-40a2-a1b7-179b9d7c4ec7 · outbound

This paper cites Poonen, Rational points on varieties, Grad.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Poonen, Rational points on varieties, Grad

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:54.445783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.296316Z digest=sha256:a48fcce2ee97f0297b14ca5b84069e4ae1773edb55348d630eefebebdca7753f

Observation dfc1a248-9ae9-4919-8cd0-5c80ffa8c065 · outbound

This paper cites an unresolved cited work.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:35:54.432088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.300111Z digest=sha256:bf8a6d43ed7ed5db66627c6949a6c893ec9cd76f0df835f7224abf5737db954f

Observation 2dacd532-c2a3-4bd6-bcc6-0ab7f12e2aaf · outbound

This paper cites Serre, Linear representations of finite groups, Grad.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Serre, Linear representations of finite groups, Grad

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:54.417871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.304066Z digest=sha256:5a6a14c7e26a0ba2e5bab7038f2b33ac31bd51e429536d6221d36f5174083c78

Observation f1307aab-db48-42f1-b7c8-0ac7960d93c2 · outbound

This paper cites an unresolved cited work.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:35:54.403943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.308148Z digest=sha256:c55b5aac7f718ec81161f00092e5baec4046c3c0d7be5b855153b72d5731acb6

Observation 88925c00-eb6b-47bc-9a22-d04e80248623 · outbound

This paper cites On the size and structure of finite linear groups.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor On the size and structure of finite linear groups

Reference 22

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verified exact
local_arxiv, observed 2026-08-05T15:35:54.355900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.311682Z digest=sha256:901da86776d349218cf93081ec91bc8822cb40d0a4e94df09d26071970553db0

Observation 751b2ea5-8ede-4938-8f05-c009ff6aac36 · outbound

This paper cites an unresolved cited work.

An upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductor Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:35:54.389962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T15:35:54.316065Z digest=sha256:8842a96ecea74b69f6a676c15710aa54ed7c803a034165284a5eef2986ffd551

Pith citing papers

No inbound Pith citation observations are available.