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Paper Citation Record · LEDGER

The period-index conjecture is false

As of 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.116717Z digest=sha256:2d3609afba6547958421ead9cfca2e8fdfc59023657129dc8c7000daa2741cf6

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=sha256:44e72d07377d52fcd9dc40dafdf971a9e1214ba0c6cb6436643e14665b3f0729

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.123491Z digest=sha256:6ae319e97bf4a9bc2e3029800886a9c0e7e23c8d99661c327a2f319eac7db79b

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.127276Z digest=sha256:63d81e0af65ee7c8961fca9b3bcf8e0608e7a3384fe22136628949ecf22e81b2

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.130233Z digest=sha256:3ebe1f3854f5eb609dc8ca40313f08a77c4dc183ba61b8f35e275fded55018cd

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.133572Z digest=sha256:f291f7d2911bb1a5df2446dd0bf8277e26b35adaaf2b1c8ac7022bbe655b6a7f

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.137261Z digest=sha256:f44d8cf3d78420549b1ee283f2d9c14aa6b790dfe3e2590aff0ee060ae8cd3fd

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.140265Z digest=sha256:90dda27d5fdaf7d7f6460b91b9b7d033e5160b3fdeb93f627cc7ae58552b67d8

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.143711Z digest=sha256:10d9e643a8b6f81c8d1152681ac750270e614ff579930695a87a3b2702d25603

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.146671Z digest=sha256:680b3cca6ec2661aeb9b8341d771e593365304109a0b0fdad8d7092134e5bc8f

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.149991Z digest=sha256:ec66d811c36ba1499ad453ef9c1dd211a9830b73419da37976981e74af1a5fb8

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:dbc72ca80470403485bb01413ad6c7eb576ca41947bb4b92a815f383adfa9b26

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=sha256:9b89749138821b13f8dd76560457b573d33d64b3634be29a51161247f49c6c07

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=sha256:9b97aa56dbd962717faa4208f9fe87a493b32d406ec36ea9d6f40a2f82ad1ce5

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=sha256:7608bce0173d56aa5acfc3deb7aa63c2ee7f3ae2675a068c23f39ed7ee8eca52

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.166617Z digest=sha256:103717c2f13b1d7691185d276a94dada9006c097007e908e143028975eae1c3d

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.170135Z digest=sha256:066c116bb14c6de12355edada407b5f36521e2528c49b8c7c6b0af6337dd2d52

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.173485Z digest=sha256:00b522af38c0d11ca90ca742120391c536b87d11322f363151b75fe6316f54d2

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:57:01.177417Z digest=sha256:74fbea7802d4388eb2a69bbc9510346160cdc9d375fcf870805c17df3db629b6

Pith citing papers

No inbound Pith citation observations are available.