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Paper Citation Record · LEDGER

An atomic criterion for irrationality without quantum computations

As of 10 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2607.26718.

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

pith.paper-citation-record.v1
2607.26718 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-30T23:05:18.452849Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

17 of 17 outbound references displayed

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  • verified fuzzy0
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a2be250-34dc-4144-853e-d03ff9cc6135 · outbound

This paper cites 54 SMF, Paris, 1978.

An atomic criterion for irrationality without quantum computations 54 SMF, Paris, 1978

Reference 1

Resolution
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no resolver link, observed 2026-07-30T23:05:18.390648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.390648Z digest=sha256:056cb199cccf8893020c847243b8f77d1608ccfd799af626d59654e0a76dff3a

Observation 24df78fd-6f56-4510-8ada-9713dac9d56f · outbound

This paper cites Quantum cohomology and birational geometry of Verra fourfolds.

An atomic criterion for irrationality without quantum computations Quantum cohomology and birational geometry of Verra fourfolds

Reference 2

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no resolver link, observed 2026-07-30T23:05:18.395069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.395069Z digest=sha256:8e38fb22609cb3ba1db59bd35abbfb60cc16594281b0c360a52a4ff5a33492b1

Observation 1b6630a3-f0c8-4f70-af8b-3b2cad32850a · outbound

This paper cites Quantum cohomology and irrationality of Gushel-Mukai fourfolds.

An atomic criterion for irrationality without quantum computations Quantum cohomology and irrationality of Gushel-Mukai fourfolds

Reference 3

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no resolver link, observed 2026-07-30T23:05:18.399287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.399287Z digest=sha256:d18045d2895e32658be04e78bc7b21c95f5941bc17c15bcef3705fd96decaedf

Observation 50fdce43-668f-45a6-9be0-ed32179340e9 · outbound

This paper cites Universitext Springer-Verlag, New York, 2001.

An atomic criterion for irrationality without quantum computations Universitext Springer-Verlag, New York, 2001

Reference 4

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no resolver link, observed 2026-07-30T23:05:18.403324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.403324Z digest=sha256:786916b2b7fb96400932bac59bbf51cc94cbf6c1c89083e2e8bf2044769aa466

Observation 74e1a7f0-aa5e-4007-a2c9-245c6a361bf4 · outbound

This paper cites Fano fourfolds of K3 type.

An atomic criterion for irrationality without quantum computations Fano fourfolds of K3 type

Reference 5

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no resolver link, observed 2026-07-30T23:05:18.407475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.407475Z digest=sha256:7376273a6ed9365330c3a940c77a11fda420eddd2a8d024e41456398a5bd0edd

Observation 2f4887ca-a37b-4c21-b46f-d411a0b8e40e · outbound

This paper cites Math.59 (2019), no.

An atomic criterion for irrationality without quantum computations Math.59 (2019), no

Reference 6

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no resolver link, observed 2026-07-30T23:05:18.411343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.411343Z digest=sha256:6317a18e6723806148eab1cc498a4f32018737ce4bf882b738bc977e21de10ac

Observation 29a397f4-52d2-4e41-b6bc-e2d21eaf3dcb · outbound

This paper cites an unresolved cited work.

An atomic criterion for irrationality without quantum computations Unresolved cited work

Reference 7

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unresolved
no resolver link, observed 2026-07-30T23:05:18.415128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.415128Z digest=sha256:6d0af5cdc1a623342a78c1455d9b0fa9dff4823b91ac2ed4a7ee0db2457467b2

Observation 063ff0a8-96bb-4386-93d4-1150e426253c · outbound

This paper cites an unresolved cited work.

An atomic criterion for irrationality without quantum computations Unresolved cited work

Reference 8

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unresolved
no resolver link, observed 2026-07-30T23:05:18.418520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.418520Z digest=sha256:bdec752c7ea83d18529c632a848789ca5c579d568517ac4a969075f42b0595e2

Observation 186cca45-946c-4bbd-8f65-109a715358dd · outbound

This paper cites Springer-Verlag, Berlin, 1995.

An atomic criterion for irrationality without quantum computations Springer-Verlag, Berlin, 1995

Reference 9

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no resolver link, observed 2026-07-30T23:05:18.421960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.421960Z digest=sha256:1a7f8d4829b962398da7b990a0d45eabab5aee7b9205cb9e0fab51c587d6e288

Observation 4d2d7d38-f018-4a8b-bf1c-29e6b922cd1f · outbound

This paper cites an unresolved cited work.

An atomic criterion for irrationality without quantum computations Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-30T23:05:18.426177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.426177Z digest=sha256:73e42ad298fb1ee9b67dd290d4e6fe1913cfc7580d85a8942b4b6ca404f1a4b0

Observation 9e345aab-a7f4-428e-81b5-3c8dd3341323 · outbound

This paper cites Quantum cohomology of blowups.

An atomic criterion for irrationality without quantum computations Quantum cohomology of blowups

Reference 11

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unresolved
no resolver link, observed 2026-07-30T23:05:18.429646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.429646Z digest=sha256:7379bc8821cce21be45eb6c95c5355ab3b36c959b50f66242d3defa0f9370104

Observation ade1be74-9977-40a1-910a-7ae074db21cc · outbound

This paper cites an unresolved cited work.

An atomic criterion for irrationality without quantum computations Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-30T23:05:18.433566Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.433566Z digest=sha256:fd5f923e3f4a7a651ae6b92f3d2167b0c11fa06c0f6bcb5e501647b8db2e5b74

Observation 4311bdff-9766-4747-9d50-97d61dd7e12c · outbound

This paper cites an unresolved cited work.

An atomic criterion for irrationality without quantum computations Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-30T23:05:18.437115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.437115Z digest=sha256:550a91c76599bec83306bc9fd8cd7648822b4fedc4245d27b277c8bb681b6a22

Observation 35c73543-c0a5-4d15-834e-6bdc0fcea15b · outbound

This paper cites an unresolved cited work.

An atomic criterion for irrationality without quantum computations Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-30T23:05:18.440991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.440991Z digest=sha256:34bf26c3d089a4b3f491cef103d0aa1ced3baafa6771eb283acb7294b6d4795c

Observation d498bd00-8759-47ff-8a7f-0d89869eb98e · outbound

This paper cites an unresolved cited work.

An atomic criterion for irrationality without quantum computations Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-07-30T23:05:18.444734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.444734Z digest=sha256:d63d77265df16678b77e4a84d44f139131955508c40968b5735d3a90543817ae

Observation 79b94a0d-ba6f-43a1-83c6-628568d33b6a · outbound

This paper cites IICambridge Stud.

An atomic criterion for irrationality without quantum computations IICambridge Stud

Reference 16

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.448869Z digest=sha256:f3e7391acfa6df43ba7bc89cadafb21f74d44fd102b583208f34720c82caa860

Observation 2aee52e5-38a6-4958-9f33-a2506c5ddf87 · outbound

This paper cites Handbook of moduli.

An atomic criterion for irrationality without quantum computations Handbook of moduli

Reference 17

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unresolved
no resolver link, observed 2026-07-30T23:05:18.452849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T23:05:18.452849Z digest=sha256:96d44965038c0c463afe150b3a93d9e1a3aa9b5c430b33329aeeee510f376b06

Pith citing papers

No inbound Pith citation observations are available.