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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 2026-08-18T06:34:40.430872+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.

source=pdf_text observed=2026-08-15T14:35:25.215917Z digest=sha256:4b5234a5d62f0decba0e6c797ca5aee459e196d018592be78141710ddc76f764

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:35:25.221803Z digest=sha256:4e7f92ddce5e65023eb39c2635955b7cd32e721d312fd2da9c3b3b05a108258f

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.

source=pdf_text observed=2026-08-15T14:35:25.226167Z digest=sha256:0ffa9a8dc2cb70cea54cf24f22f95122183192e121571948a35c2b94ef32df95

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:35:25.231334Z digest=sha256:c7911e638d5add0a98432b6b97a9dbac7b58c2c073eaf4deca9fba6831f91180

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:35:25.236112Z digest=sha256:54de3a8226e5307c0b898782dc16bf3d2f22ee3f33183aa8798c2dba7b801921

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.

source=pdf_text observed=2026-08-15T14:35:25.240535Z digest=sha256:407443b345dfdbbd62b8adb3c49b11d446c294d31315aeb82c6b7c5875995b7b

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.

source=pdf_text observed=2026-08-15T14:35:25.245577Z digest=sha256:3bcf5f6b5ec64bbd4c64e588ef954606950664526d02ad382b5a49af91369fb7

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:35:25.250193Z digest=sha256:31513720130422267ac7ca92862d77b1949b268420985e2fed1020fcfc2d0a05

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.

source=pdf_text observed=2026-08-15T14:35:25.254976Z digest=sha256:3f3dbb26939858946fbec61d00d200f3086845a1a8000c5d7230bba4e70d407b

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.

source=pdf_text observed=2026-08-15T14:35:25.259253Z digest=sha256:4f3a56eebe7ea7a7c0b2b09c14a0f245bc9db9087e3bde1b15b602dcb1e9185e

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.

source=pdf_text observed=2026-08-15T14:35:25.264104Z digest=sha256:53b449f957fd89c5107210b491f90b016067858dff2e1db0d6df1321671b743d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:35:25.269889Z digest=sha256:c8d9911ba3dd373d878b872a5d278f6396df1c5d1e108276063b3effcc984920

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.

source=pdf_text observed=2026-08-15T14:35:25.278889Z digest=sha256:f1c4080f7b363e53f89ab6656b8be2cce080896351f98eee588a8af9e99dd88e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:35:25.284125Z digest=sha256:8518b9b49638fccf88b895d35ca50b340d9ab6bc7ce5db9f14801a9eae74b947

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.

source=pdf_text observed=2026-08-15T14:35:25.289776Z digest=sha256:423278409353981d1b6eca70432657b2947c1cdf359ff5159e326b4b356cca56

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.

source=pdf_text observed=2026-08-15T14:35:25.297281Z digest=sha256:98a56222766129a3c46c374c6d86f6cc923c30a7c4d482516e5305fa3db9023c

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.

source=pdf_text observed=2026-08-15T14:35:25.307155Z digest=sha256:7b4bd7b0d84e3edc70a2da783ac7a0993b3affbb79d97c095a0e8408c879267b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:35:25.312400Z digest=sha256:d24d62e96f7f5a590c775eb38a7aaabac022b44e6b1e75643c41cabdea2b8641

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:35:25.319689Z digest=sha256:e8b651081e8635b6fb630afa8d70535bbf1aaeba75ccf922aa3be4301bf721c8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:35:25.325273Z digest=sha256:279645e34d3aabd5c88c98fa67da647330ee55ad722880da30c2348c386cd6ce

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:35:25.335602Z digest=sha256:a416a81438fb4dcfdffa54c3f4c8b5be493392d1849e67d729bb31d9beefb220

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.

source=pdf_text observed=2026-08-15T14:35:25.340131Z digest=sha256:ac9b853995a9ae581108fd82871234f79fcf1c02b0225412534bd1c1adb3c6cb

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
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:35:25.345716Z digest=sha256:7f2bda52ff126a4e6cda34c107790a0fc31a74bbb7d52eb6c1c6fe33eb5801ca

Pith citing papers

No inbound Pith citation observations are available.