Pith. sign in

Paper Citation Record · LEDGER

The period-index conjecture is false

As of 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.116717Z digest=sha256:39dd09f73def29aee161e6b0b60ba8771e0fb7079b5a8b9200fb34c1d6ff8efe

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=sha256:9dfc049284bbacf6a29dc6f382878c1906768a7c8c3b298a527a5c71a8f4dfbc

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.123491Z digest=sha256:fdd0f145f0a7cfcf9eebf2f9ce1bacad7cad93bf052334ff0caf77fd009ee778

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.127276Z digest=sha256:c3ec508dd2da326570aa55929c0038bfe8aca371c30dbec1bb2c847eed5a0350

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.130233Z digest=sha256:5ff12d7f8fb6eaf1c548d6dd35a67a62791e90f3b6c10fe5bf8aa5de3197b44a

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.133572Z digest=sha256:8cf9bd067bc4857c33f459c81e1740b15cc43fd2d2373126106dddca54b8a19e

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.137261Z digest=sha256:9302b54f2e74c2952f79adac0bddf93b24fbd60d4a72b9a11103b7a8408eaa95

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.140265Z digest=sha256:fb0aaff08958d402db610a2ee6353585a93751c0883bb47e15d2dddaa000305d

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.143711Z digest=sha256:0d61c28d87bfd571450f87f3d903e504de24d72eab51c08df9fdb7b0ae5c5ff0

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.146671Z digest=sha256:1cd3073a42823e7823bc5b657d324fba2367a6066a34d819e5b8544a3e0f7d43

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.149991Z digest=sha256:642a95de770e1f865cb2b5729f29128b9092d80802cd3be35f63e31eb8958fb1

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:ec1c99b27e75a6576bf083938398ce2d8fc2c2d218c3e6b37a944f60504266e1

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=sha256:00894b8f307218f0d07813949f9e11d37816a15c93b4f8858b1786cfdca98756

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=sha256:3e47946fc65463c9ea887fe36bb85d8229428952528ea951fbda3ebf47292536

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=sha256:4c3f5f10334b58e79198f10fb9ca3f5a0d7412b8cad6c1d026eab9b29e025f91

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.166617Z digest=sha256:27f5c05f4be4aeb587d437070d3a0557e319a70b3e0be2ce3f0d5d99e4dd478c

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.170135Z digest=sha256:dc8f3cd45cae38d3361b5297ad490fbd9b019a0e8217fe264825282a7ec2a58a

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.173485Z digest=sha256:e6ec5eb692e4912f1641e7ac1e54e95a9eb3ce013f980d8f48c871de46b6c125

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.177417Z digest=sha256:c00a33528ccb8efa49839bac062c96a0be2769e52a47801cb295f619e91cb139

Pith citing papers

No inbound Pith citation observations are available.