Paper Citation Record · LEDGER

The period-index conjecture is false

As of 22 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2608.03684.

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

pith.paper-citation-record.v1
2608.03684 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:57:01.177417Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:35:25.325273Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T14:35:25.597808Z

Reference resolution

19 of 19 outbound references displayed

verified exact3
verified fuzzy2
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6f03a1e9-173b-4d53-bdb6-95aac461a7ca · outbound

This paper cites an unresolved cited work.

The period-index conjecture is false Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:57:01.472483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f8f1131c-793b-467d-9247-2fa9345e6831 · outbound

This paper cites an unresolved cited work.

The period-index conjecture is false Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T14:57:01.120426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9914249-0338-4054-bea3-11c1c73c9f52 · outbound

This paper cites Die Brauersche Gruppe; ihre Verallgemeinerungen und Anwendungen in der arithmetischen Geometrie.

The period-index conjecture is false Die Brauersche Gruppe; ihre Verallgemeinerungen und Anwendungen in der arithmetischen Geometrie

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-05T14:57:01.280601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c39a3e7d-d2ad-48db-95ee-36fc1c4f2d17 · outbound

This paper cites an unresolved cited work.

The period-index conjecture is false Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:57:01.463047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9030ab96-156a-498c-b983-784664312ec8 · outbound

This paper cites an unresolved cited work.

The period-index conjecture is false Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:57:01.454782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 466aa066-2f85-4788-8c35-3d0d321abf15 · outbound

This paper cites 3, 369--374.

The period-index conjecture is false 3, 369--374

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:57:01.446268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6586a7a5-6a45-47e1-8a3c-ae1278606636 · outbound

This paper cites an unresolved cited work.

The period-index conjecture is false Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:57:01.436963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c880451d-cd43-48d6-949c-de4f9bbc40eb · outbound

This paper cites The period-index problem and Hodge theory.

The period-index conjecture is false The period-index problem and Hodge theory

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-05T14:57:01.268098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 917bec8a-9dab-4b12-935f-29e0815b7447 · outbound

This paper cites an unresolved cited work.

The period-index conjecture is false Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:57:01.428406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5917b98c-2c13-4fc5-8673-749ff4fd686e · outbound

This paper cites Algebra 37 (2009), no.

The period-index conjecture is false Algebra 37 (2009), no

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:57:01.418524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a94ffe5c-37b6-4095-a172-b2605c9e282f · outbound

This paper cites an unresolved cited work.

The period-index conjecture is false Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:57:01.409485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 75604b50-7357-4174-817f-3ab60846e69e · outbound

This paper cites The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles.

The period-index conjecture is false The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T14:57:01.153094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1658794-3142-42e0-a22b-b3686c7c6a86 · outbound

This paper cites Hodge theory of twisted derived categories and the period-index problem.

The period-index conjecture is false Hodge theory of twisted derived categories and the period-index problem

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T14:57:01.156600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d364e8f-3432-425f-8ac1-d86607428df1 · outbound

This paper cites The period-index conjecture for abelian threefolds and Donaldson-Thomas theory.

The period-index conjecture is false The period-index conjecture for abelian threefolds and Donaldson-Thomas theory

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T14:57:01.159902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33dce35b-5d23-4c4c-aaa3-d9ef49640684 · outbound

This paper cites The period-index problem for hyperk\"ahler manifolds.

The period-index conjecture is false The period-index problem for hyperk\"ahler manifolds

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-05T14:57:01.163307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33fa89a5-4763-4154-bdb8-28457fc4a60e · outbound

This paper cites Minimal Trivializing Isogenies of $\mathbb{G}_m$-gerbes over Abelian Varieties and Period-Index Problem.

The period-index conjecture is false Minimal Trivializing Isogenies of $\mathbb{G}_m$-gerbes over Abelian Varieties and Period-Index Problem

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-05T14:57:01.213131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c6fabf07-46c0-4db4-90dc-0dfae454238e · outbound

This paper cites an unresolved cited work.

The period-index conjecture is false Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:57:01.400547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 78158ff0-881c-44dc-b778-d2ea36b73069 · outbound

This paper cites an unresolved cited work.

The period-index conjecture is false Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:57:01.390807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3fc1fd62-997e-40b8-9a2b-8fa4b478ab28 · outbound

This paper cites an unresolved cited work.

The period-index conjecture is false Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:57:01.381306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation bd11bf86-54b3-4fbe-953d-e00efe854541 · inbound

The hyperk\"ahler period-index conjecture is false cites this paper.

The hyperk\"ahler period-index conjecture is false The period-index conjecture is false

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:35:25.604446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.