Paper Citation Record · LEDGER

The hyperk\"ahler period-index conjecture is false

As of 18 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2608.09436.

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

pith.paper-citation-record.v1
2608.09436 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:35:25.345716Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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 exact6
verified fuzzy3
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0d5d2829-b269-4aea-b1bc-cf8178427041 · outbound

This paper cites Variétés Kähleriennes dont la première classe de Chern est nulle.

The hyperk\"ahler period-index conjecture is false Variétés Kähleriennes dont la première classe de Chern est nulle

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.215917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03b1557d-e07c-49e5-8dcf-681bf22acf66 · outbound

This paper cites On the cohomology ring of a simple hyper-Kähler manifold (on the results of Verbitsky).

The hyperk\"ahler period-index conjecture is false On the cohomology ring of a simple hyper-Kähler manifold (on the results of Verbitsky)

Reference 2

Resolution: verified exact; doi, observed 2026-08-15T14:35:25.579458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8997c36c-a1b5-4539-8a66-edd63e829173 · outbound

This paper cites an unresolved cited work.

The hyperk\"ahler period-index conjecture is false Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.226167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4554378e-9f2d-4756-a6bf-ad68fbab504f · outbound

This paper cites Exposant et indice d’algèbres simples centrales non ramifiées.

The hyperk\"ahler period-index conjecture is false Exposant et indice d’algèbres simples centrales non ramifiées

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:35:25.894085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b3e6862c-bfe9-4d14-bfe4-8b72321027da · outbound

This paper cites On a conjecture of Matsushita.

The hyperk\"ahler period-index conjecture is false On a conjecture of Matsushita

Reference 5

Resolution: verified exact; doi, observed 2026-08-15T14:35:25.562061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7acad737-c6e3-4c87-a2a9-17481da1e4a6 · outbound

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

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

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.240535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a039f2b-02cf-4d4b-bafb-b7007edfeada · outbound

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

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

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.245577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a18fea39-3f13-4d18-87cb-e8817565e5f2 · outbound

This paper cites an unresolved cited work.

The hyperk\"ahler period-index conjecture is false Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:35:25.868387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 71c522ca-bb9e-499a-9e51-34ed0ba25d63 · outbound

This paper cites Equivalences of twisted𝐾3surfaces.

The hyperk\"ahler period-index conjecture is false Equivalences of twisted𝐾3surfaces

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.254976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7b22beb-05dc-4c7c-94e3-98065b4c3143 · outbound

This paper cites The period-index problem for the Brauer group of an algebraic surface.

The hyperk\"ahler period-index conjecture is false The period-index problem for the Brauer group of an algebraic surface

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.259253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4dc61e12-b116-44f1-9edd-9ddda02f41e3 · outbound

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

The hyperk\"ahler period-index conjecture is false The period-index problem and Hodge theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.264104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a5732eb-7f61-4a19-a4da-54bbf7cbf7a9 · outbound

This paper cites Corrigendum: “Integral cohomology of the generalized Kummer fourfold.

The hyperk\"ahler period-index conjecture is false Corrigendum: “Integral cohomology of the generalized Kummer fourfold

Reference 12

Resolution: verified exact; doi, observed 2026-08-15T14:35:25.525922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 403bea37-e749-41ed-a7c0-8cd40a734a7a · outbound

This paper cites Integral cohomology of the generalized Kummer fourfold.

The hyperk\"ahler period-index conjecture is false Integral cohomology of the generalized Kummer fourfold

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.278889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0012d8fe-8ec9-4504-871f-19323e44adae · outbound

This paper cites Hodge-theoretic obstruction to the existence of quaternion algebras.

The hyperk\"ahler period-index conjecture is false Hodge-theoretic obstruction to the existence of quaternion algebras

Reference 14

Resolution: verified exact; doi, observed 2026-08-15T14:35:25.487165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation eaa90f3a-84df-431d-9d5c-a3f6422b2465 · outbound

This paper cites A survey of Torelli and monodromy results for holomorphic-symplectic varieties.

The hyperk\"ahler period-index conjecture is false A survey of Torelli and monodromy results for holomorphic-symplectic varieties

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.289776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27916cdb-7d41-44b7-928a-b8f498bf11ba · outbound

This paper cites Integral generators for the cohomology ring of moduli spaces of sheaves over Poisson surfaces.

The hyperk\"ahler period-index conjecture is false Integral generators for the cohomology ring of moduli spaces of sheaves over Poisson surfaces

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.297281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a9b7bf8-f08f-4906-9f23-61497ba08c8f · outbound

This paper cites an unresolved cited work.

The hyperk\"ahler period-index conjecture is false Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.307155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64fcbc7e-3f7c-4568-9cc5-fae69aae71d1 · outbound

This paper cites Hodge classes of type(2, 2) on Hilbert squares of projective K3 surfaces.

The hyperk\"ahler period-index conjecture is false Hodge classes of type(2, 2) on Hilbert squares of projective K3 surfaces

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:35:25.848315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c3c77137-4a9b-4cad-a47a-eb3d8b65d7fb · outbound

This paper cites Irreducible symplectic 4-folds numerically equivalent to(𝐾 3)[2].

The hyperk\"ahler period-index conjecture is false Irreducible symplectic 4-folds numerically equivalent to(𝐾 3)[2]

Reference 19

Resolution: verified exact; doi, observed 2026-08-15T14:35:25.417839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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

This paper cites The period-index conjecture is false.

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 2026-08-17T06:30:58.91139+00:00.

Observation 0698459d-22d4-4071-8006-c882e3127bfe · outbound

This paper cites Integral operators and integral cohomology classes of Hilbert schemes.

The hyperk\"ahler period-index conjecture is false Integral operators and integral cohomology classes of Hilbert schemes

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:35:25.832111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 83d59459-4049-4535-84ba-8439f4265f72 · outbound

This paper cites On the Beauville form of the known irreducible symplectic varieties.

The hyperk\"ahler period-index conjecture is false On the Beauville form of the known irreducible symplectic varieties

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.340131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2a25841-ea71-49bb-81e1-5aed520c484c · outbound

This paper cites Cohomology of compact hyper-Kähler manifolds and its applications.

The hyperk\"ahler period-index conjecture is false Cohomology of compact hyper-Kähler manifolds and its applications

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T14:35:25.345716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.