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Paper Citation Record · LEDGER

Explicit height bounds for G-functions and unlikely intersections with lines in tori

As of 9 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.09565.

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

pith.paper-citation-record.v1
2607.09565 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T02:06:31.604710Z

measured 23 of 23 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

23 of 23 outbound references displayed

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  • verified fuzzy0
  • unresolved23
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a161ae61-e035-424c-b191-f9485776b73e · outbound

This paper cites Andr\' e , G -functions and geometry , Aspects of Mathematics, E13, Friedr.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Andr\' e , G -functions and geometry , Aspects of Mathematics, E13, Friedr

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:dd3e98240e9e2c1bf09ad9a19b46d70627236ec1864a70a005dc974e847c81ac

Observation 969e5cfb-9092-45a5-a957-f076a70543f2 · outbound

This paper cites Andr\'e, G -functions, motives, and unlikely intersections---old and new , Atti Accad.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Andr\'e, G -functions, motives, and unlikely intersections---old and new , Atti Accad

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:5aa1a7676c84081007333afe65acd5c6355c5283a35bf737f4bfbfadbb3eca82

Observation 18f226c7-fee3-49bf-a058-ea9f497751ae · outbound

This paper cites Ax, On S chanuel's conjectures , Ann.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Ax, On S chanuel's conjectures , Ann

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:3165ad7be5afe57c1d16f10fe7f69b4efc8806b5c976bc7607e40625ef02c814

Observation a8bae87f-924b-4e7a-9174-06823133eec6 · outbound

This paper cites an unresolved cited work.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:7ad2d49cf9addf3ea17193fc735864c839da362a8df26405ac9cc5dd9b5bf4f7

Observation 4013979f-d0a7-4e32-93ee-0aa03d67e2ec · outbound

This paper cites Binyamini and D.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Binyamini and D

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:ebdb99acd1f8b9b7e0cbbaec9227ef946005eedee2d0877e3a56ddd6c8959a85

Observation 7d93dfe5-f9b4-450f-bbb0-e08bf59fd01c · outbound

This paper cites Bombieri, D.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Bombieri, D

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:9b5c1d6320d9c7d09fe8a57a7bd0985d6b6f02f8ad8159094a26ff5ed1bc96d4

Observation 21b1e33f-3c67-413d-b434-73baf4d88bd8 · outbound

This paper cites Bombieri, On G -functions , Recent progress in analytic number theory, V ol.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Bombieri, On G -functions , Recent progress in analytic number theory, V ol

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:7916a986d77dd79ff8782501b556e87bca2aa745f4cb3ffb296285cb0b131741

Observation 28b78877-f330-4232-9a22-ae7a1fccee74 · outbound

This paper cites Chardin, Une majoration de la fonction de H ilbert et ses cons\'equences pour l'interpolation alg\'ebrique , Bull.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Chardin, Une majoration de la fonction de H ilbert et ses cons\'equences pour l'interpolation alg\'ebrique , Bull

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:56c3cc830d547f77a9f64637f331d74db2964997f8411d190b28ddbfc3a40c18

Observation 5a78e9c2-2de0-470b-997a-a689265073b8 · outbound

This paper cites Capuano, D.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Capuano, D

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:e00e21461f3112df44254d06086274d9b425535c799ae0988544753495a81eed

Observation bc9d2d9e-8453-457a-bef8-e0f408e7ffdc · outbound

This paper cites The large Galois orbits conjecture under multiplicative degeneration.

Explicit height bounds for G-functions and unlikely intersections with lines in tori The large Galois orbits conjecture under multiplicative degeneration

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:6271a39413827bcd54cd9a79f8f9703c82be1f175d930101687f052b94dbcc5d

Observation ec9c9f7d-4125-4cbc-8df5-481ce02ac893 · outbound

This paper cites an unresolved cited work.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:d2e902b2420428519c77badc3621bf1fca7bb2e766843bc1eea458143625775c

Observation 8f49d6ff-b2a9-412b-8584-fab07d81a4e6 · outbound

This paper cites an unresolved cited work.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:d01cb39a8b392bb5000ba121eb444732ac35fec41b91c6352e629ecf7b837243

Observation c326c206-1343-4c56-9335-1d84b618aba6 · outbound

This paper cites Habegger, Effective height upper bounds on algebraic tori, Around the Z ilber- P ink conjecture/ A utour de la conjecture de Z ilber- P ink, Panor.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Habegger, Effective height upper bounds on algebraic tori, Around the Z ilber- P ink conjecture/ A utour de la conjecture de Z ilber- P ink, Panor

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:f43e3b5372943550c8cdec7d0445083828780b695387a12c8aa4c07aa84f27a9

Observation 72a6a163-ee4f-473a-8f0e-68ebc439a685 · outbound

This paper cites Liu, Algebraic geometry and arithmetic curves, Oxford graduate texts in mathematics, Oxford University Press, 2006.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Liu, Algebraic geometry and arithmetic curves, Oxford graduate texts in mathematics, Oxford University Press, 2006

Reference 14

Resolution
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no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:50bfb8fce81c180cfd9e81b65e43529d6fdd7fe776cc7bfd6d60a944b964bd14

Observation d37345ec-3553-4103-ae76-595e97eb9c14 · outbound

This paper cites an unresolved cited work.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:71f9c8d9fff962ef91b2a3072c3e00f843c001e33d279835fd5c7c4f3007804e

Observation 4964c306-1731-480e-bc9f-d740d9a90666 · outbound

This paper cites Papas, On the v-adic values of G-functions I , preprint, available at https://arxiv.org/abs/2510.11806.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Papas, On the v-adic values of G-functions I , preprint, available at https://arxiv.org/abs/2510.11806

Reference 16

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:91f0726009f186219bfb9bf0d0943430495076caf00b1c9a8038d800d6d1f588

Observation 27aeb2ec-f00d-4ad2-8a2b-ec574046f6dd · outbound

This paper cites an unresolved cited work.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:4387128fbcd9ecf90f84f8a31250bba61d94449b27e7c777ced98a39205b0ed2

Observation fda6ccff-1d7d-48e5-909e-c400d3cdd7d3 · outbound

This paper cites Philippon, Sur des hauteurs alternatives.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Philippon, Sur des hauteurs alternatives

Reference 18

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:604054704e58024193d8c4a20ee663b628bc7cbbe0740fec7f460b9868cce177

Observation a9b4fb4f-c6f4-41bb-824e-856417797f4f · outbound

This paper cites an unresolved cited work.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:ff02de62e60469d9dfff5444cfc1fdfb51cb4265f5df4c515824becb01f3161b

Observation fccf542d-09c1-4924-97ed-1699a45233e9 · outbound

This paper cites an unresolved cited work.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:3537755a678a7c65b8e7b1a4ed366bd9ebb04589cf676bf72ff13fe5c8f73b5d

Observation f4e68b20-04ef-4fd2-922a-bd3e52fc2413 · outbound

This paper cites an unresolved cited work.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:ed5adcc4b9b117676de46e6b76b07f05521728379162423d21009a4011eb5256

Observation 321148b8-6bb1-4676-807b-ce49408d4748 · outbound

This paper cites Urbanik, Galois orbit bounds for surface degenerations, preprint, available at https://arxiv.org/abs/2603.02606.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Urbanik, Galois orbit bounds for surface degenerations, preprint, available at https://arxiv.org/abs/2603.02606

Reference 22

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:7362b2ab80d99ffe7290d0a3cd2a2ea08bfccd1a9933ce5e55dce57a63395781

Observation 136b1bf6-8cff-447e-93d8-8bcb81145bac · outbound

This paper cites an unresolved cited work.

Explicit height bounds for G-functions and unlikely intersections with lines in tori Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-07-13T02:06:31.604710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:06:31.604710Z digest=sha256:a064702e2fd1196fe799ce3f82bc2f03813f856f46cb9f3ce07411d5d35127e3

Pith citing papers

No inbound Pith citation observations are available.