Paper Citation Record · LEDGER

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry

As of 12 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2606.27116.

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

pith.paper-citation-record.v1
2606.27116 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T02:57:46.843017Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

25 of 25 outbound references displayed

verified exact7
verified fuzzy0
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9bb38967-5d2b-4132-8e6a-e96b54e37f7e · outbound

This paper cites an unresolved cited work.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3bc7bbd-4163-416b-8989-f0805383bd75 · outbound

This paper cites Boucksom, C.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Boucksom, C

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2adf554e-d5fb-4373-8ca3-d7520cb3edc9 · outbound

This paper cites Baker and L.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Baker and L

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de73bf49-02f0-4b6b-9a66-dfa7ee1fddb8 · outbound

This paper cites an unresolved cited work.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d2b45ed-35fb-485f-a2ee-2d1aeb11dfab · outbound

This paper cites Baker, R.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Baker, R

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5c2d893-c6ce-46b3-b5f3-4349f3f11870 · outbound

This paper cites Positive degree and arithmetic bigness.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Positive degree and arithmetic bigness

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-04T14:39:58.072536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f1b1324b-b0d0-4d0f-a8b4-f6af7316b195 · outbound

This paper cites Cinkir, Zhang’s conjecture and the effective Bogomolov conjecture over func- tion fields.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Cinkir, Zhang’s conjecture and the effective Bogomolov conjecture over func- tion fields

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2ba3925-ab50-4b61-93ff-c8afecc7615c · outbound

This paper cites de Jong, Point-like limit of the hyperelliptic Zhang-Kawazumi invariant.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry de Jong, Point-like limit of the hyperelliptic Zhang-Kawazumi invariant

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d285c2a-3cd0-4a0a-a024-449f72c20772 · outbound

This paper cites Deligne, Le d´ eterminant de la cohomologie.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Deligne, Le d´ eterminant de la cohomologie

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcc1f55f-ddf9-4d57-b6e6-c13bb0879a83 · outbound

This paper cites DeMarco,Dynamics of rational maps: A current on the bifurcation locus.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry DeMarco,Dynamics of rational maps: A current on the bifurcation locus

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5df26dc6-5168-458e-ba07-38724507a3b5 · outbound

This paper cites Recent developments of the Uniform Mordell-Lang Conjecture.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Recent developments of the Uniform Mordell-Lang Conjecture

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:39:58.069921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2ff11801-6d3c-45dd-a85c-4bed783e0c03 · outbound

This paper cites Gauthier, Y.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Gauthier, Y

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7271cbf-771b-4521-a312-afb97464fe88 · outbound

This paper cites DAO for curves.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry DAO for curves

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:39:58.063559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c81bc2b3-aff4-41ca-b2c0-73e9af9ec777 · outbound

This paper cites Deligne pairing for equidimensional morphisms.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Deligne pairing for equidimensional morphisms

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:39:58.067150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0f98bf35-fd12-4ab3-8c9a-84d7319fb7ab · outbound

This paper cites an unresolved cited work.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a6c6569-0196-42c8-a2e9-702b959bd4b0 · outbound

This paper cites Lawrence and A.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Lawrence and A

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26602ad7-ce31-40c3-b913-13e69578dc5e · outbound

This paper cites Mu˜ noz Garcia, Fibr´ es d’intersection.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Mu˜ noz Garcia, Fibr´ es d’intersection

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a51a2c7b-584d-401a-8643-02443d159d2c · outbound

This paper cites Siu, An effective Matsusaka Big Theorem, Annales de l’institut Fourier, 43 no.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Siu, An effective Matsusaka Big Theorem, Annales de l’institut Fourier, 43 no

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb1bf309-d479-4cf5-bc72-5e30e092b84b · outbound

This paper cites Degeneration of Riemann theta functions and of the Zhang-Kawazumi invariant with applications to a uniform Bogomolov conjecture.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Degeneration of Riemann theta functions and of the Zhang-Kawazumi invariant with applications to a uniform Bogomolov conjecture

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:39:58.078385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d93c4a71-79eb-417c-8db0-6f64eaf96287 · outbound

This paper cites Yu,An Explicit Uniform Mordell Conjecture over Function Fields of Charac- teristic Zero, J.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Yu,An Explicit Uniform Mordell Conjecture over Function Fields of Charac- teristic Zero, J

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce164d33-61c8-488f-8454-0a89c1f80cf7 · outbound

This paper cites Yuan, On Vojta's proof of the Mordell conjecture , preprint, https://arxiv.org/abs/2508.11888, 2025.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Yuan, On Vojta's proof of the Mordell conjecture , preprint, https://arxiv.org/abs/2508.11888, 2025

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:39:58.075328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a1a2ad44-0d56-4f20-bced-9d4adb09226e · outbound

This paper cites Yuan, Arithmetic bigness and a uniform Bogomolov-type result, Ann.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Yuan, Arithmetic bigness and a uniform Bogomolov-type result, Ann

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3b68c64-53ba-4aa3-b10a-fda06d76e2d5 · outbound

This paper cites an unresolved cited work.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Unresolved cited work

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:39:58.080962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0d76c8a8-df02-40db-a125-922879d393b9 · outbound

This paper cites an unresolved cited work.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7c4844d-550f-4eef-8323-48c7687d51be · outbound

This paper cites Zhang, Admissible pairing on a curve.

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry Zhang, Admissible pairing on a curve

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-26T02:57:46.843017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.