Pith. sign in

Paper Citation Record · LEDGER

The period-index conjecture is false

As of 11 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations 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 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.116717Z digest=sha256:cad388690b32caf65b08b3c6126e3e5598a59626d60a53dbd3328143983aad9d

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.

source=arxiv_source observed=2026-08-05T14:57:01.120426Z digest=sha256:dfca1892b2aae6327dbe867c9d946f91aea0d74c71105474979de20538762065

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.123491Z digest=sha256:8c5409be660922c2bb0bc72114859b66a0cb3c4e04f24629fa74925e6512053e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.127276Z digest=sha256:b81de044800fd5197aef7af4c5c0934c74ac4e99404ef899199daf4c6def4bfa

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.130233Z digest=sha256:fdd846a8f87b75211804c1634e67fc05aea6d0df9f9ccfa5978fbe1def1fdbfe

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.133572Z digest=sha256:9e5915dd77a2e9be673e711597385529858edee6bc35dbba952fbd69b3b21388

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.137261Z digest=sha256:a053346b14dd8a7f3d984e1e13f8dd35f87d48f0614948b5857d3f51e8fa0478

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.140265Z digest=sha256:44eb1fce40a866ff1cbecafeb2d3399dfcdd5748cc1f0e050a90241d8cdf6eb8

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.143711Z digest=sha256:cafeb72dcde024683a129d3e508cbec08053216fee3972b98c3b36843d545339

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.146671Z digest=sha256:af2eda06ab99c147e6534045c1a796cd06014435cfc58d3e9f533a16e3f131bd

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.149991Z digest=sha256:d64e7696800b8ae321c193c888d2f77ccbff79627c90fc6de4ed61f5742da069

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.

source=arxiv_source observed=2026-08-05T14:57:01.153094Z digest=sha256:41b16e6b80dc00a75fa829b78949ce94c948a0d6d328434ce4432367d5943bb5

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.

source=arxiv_source observed=2026-08-05T14:57:01.156600Z digest=sha256:e46a35d6288fbc366d004decac3d1592a6a6d9b7879a285f70b37ecb19375d2b

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.

source=arxiv_source observed=2026-08-05T14:57:01.159902Z digest=sha256:9051a724be5d74ae35c660387d4df8f32438dabb8bbfd09e55bf8feb1fee5e54

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.

source=arxiv_source observed=2026-08-05T14:57:01.163307Z digest=sha256:89c1a85ee994e173015dbd0c8064cb34289147c4ea7f70ce1472fa781a75532c

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.166617Z digest=sha256:0c135d6d80833212c821c138ad835d8679d1befba6afac55f349c9c1946619e7

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.170135Z digest=sha256:9d90a7bf32139c5f3a0a91d62f6bfd8ebc848828920f50f00893766e81665eea

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.173485Z digest=sha256:9f493c32e684811cf3d7d1366b7d82010bad09c441b7182b7888c6cc3ecc6122

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.177417Z digest=sha256:485a39009287d6895cd124253e31f9198da6f1bd08d7b8e69f520c7afe230d54

Pith citing papers

No inbound Pith citation observations are available.