Paper Citation Record · LEDGER

Open surfaces with a triangle at infinity

As of 13 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.14055.

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

pith.paper-citation-record.v1
2607.14055 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:07:56.671680Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

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Outbound references

Observation 6e93bc8c-cdab-4a4a-b2f2-8966e3aa6341 · outbound

This paper cites Unlikely intersections problem for automorphisms of Markov surfaces.

Open surfaces with a triangle at infinity Unlikely intersections problem for automorphisms of Markov surfaces

Reference 1

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Observation 99f63763-56f8-40a7-95a5-1a37308a72c4 · outbound

This paper cites Aigner.Markov’s Theorem and 100 Years of the Uniqueness Conjecture.

Open surfaces with a triangle at infinity Aigner.Markov’s Theorem and 100 Years of the Uniqueness Conjecture

Reference 2

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Observation 5aec37d8-43fe-43da-b7cb-b15aeb562406 · outbound

This paper cites Holomorphic automorphisms of Markov-type surfaces.

Open surfaces with a triangle at infinity Holomorphic automorphisms of Markov-type surfaces

Reference 3

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Observation 67fdb0ce-be35-4dc7-bec3-2f00235ea22b · outbound

This paper cites A generalization of Markov Numbers.The Ramanujan Journal, 63(4):1021–1055, 2024.

Open surfaces with a triangle at infinity A generalization of Markov Numbers.The Ramanujan Journal, 63(4):1021–1055, 2024

Reference 4

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Observation fbe43dd4-94f6-413b-ba8c-e83e68583437 · outbound

This paper cites Phd thesis, Brown University, 1991.

Open surfaces with a triangle at infinity Phd thesis, Brown University, 1991

Reference 5

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Observation 5b1d5c57-6e4b-4195-9dc2-31dd76ae3fc5 · outbound

This paper cites Barth, Klaus Hulek, Chris A.

Open surfaces with a triangle at infinity Barth, Klaus Hulek, Chris A

Reference 6

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Observation 01251661-98d8-4788-b9df-6fb2fd097826 · outbound

This paper cites Dynamics on Character Varieties and Malgrange irreducibility of Painlev´ e VI equation.Annales de l’Institut Fourier, 59(7):2927–2978, 2009.

Open surfaces with a triangle at infinity Dynamics on Character Varieties and Malgrange irreducibility of Painlev´ e VI equation.Annales de l’Institut Fourier, 59(7):2927–2978, 2009

Reference 7

Resolution: malformed identifier; doi_truncated, observed 2026-08-02T03:08:59.456518Z

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Observation 38028d9e-52b6-4e61-bd53-6e3a0deef2ba · outbound

This paper cites Approach to Markoff’s minimal forms through modular functions.Annals of Mathe- matics, 61(1):1–12, 1955.doi:10.2307/1969618.

Open surfaces with a triangle at infinity Approach to Markoff’s minimal forms through modular functions.Annals of Mathe- matics, 61(1):1–12, 1955.doi:10.2307/1969618

Reference 8

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Observation 713d4307-e75d-42e2-a50a-ae7cca4c92c4 · outbound

This paper cites Chicago Lectures in Mathematics.

Open surfaces with a triangle at infinity Chicago Lectures in Mathematics

Reference 9

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Observation 8ab203ec-da22-42d6-b278-aab9847dc91b · outbound

This paper cites Smooth limits of plane curves of prime degree and Markov numbers.Journal de l’´Ecole polytechnique — Math´ ematiques, 11:683–731, 2024.

Open surfaces with a triangle at infinity Smooth limits of plane curves of prime degree and Markov numbers.Journal de l’´Ecole polytechnique — Math´ ematiques, 11:683–731, 2024

Reference 10

Resolution: malformed identifier; doi_truncated, observed 2026-08-02T03:08:59.312358Z

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Observation f493a5f3-ade5-429a-ae03-e4d08594db52 · outbound

This paper cites Dolgachev.Classical Algebraic Geometry: A Modern View.

Open surfaces with a triangle at infinity Dolgachev.Classical Algebraic Geometry: A Modern View

Reference 11

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Observation 458d1b06-4439-4b89-a391-55e2ca78d438 · outbound

This paper cites Band II: Die Funktionentheoretischen Ausf¨ uhrungen Und Die Anwendungen.

Open surfaces with a triangle at infinity Band II: Die Funktionentheoretischen Ausf¨ uhrungen Und Die Anwendungen

Reference 12

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Observation e8b15825-abfe-4d6f-9bd7-03a3e934eced · outbound

This paper cites In Athanase Papadopoulos, editor,Handbook of Teichm¨ uller Theory, Vol- ume III, volume 17 ofIRMA Lectures in Mathematics and Theoretical Physics, pages 595–664.

Open surfaces with a triangle at infinity In Athanase Papadopoulos, editor,Handbook of Teichm¨ uller Theory, Vol- ume III, volume 17 ofIRMA Lectures in Mathematics and Theoretical Physics, pages 595–664

Reference 13

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Observation a537c428-844a-4f67-a6d6-08607b97ba93 · outbound

This paper cites Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$.

Open surfaces with a triangle at infinity Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$

Reference 14

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Observation 35bf0eb6-836b-4fa9-971c-f2e76359baba · outbound

This paper cites Generalization of Markov Diophantine Equation via Gener- alized Cluster Algebra.The Electronic Journal of Combinatorics, 30(4):P4.10, 2023.

Open surfaces with a triangle at infinity Generalization of Markov Diophantine Equation via Gener- alized Cluster Algebra.The Electronic Journal of Combinatorics, 30(4):P4.10, 2023

Reference 15

Resolution: malformed identifier; no resolver link, observed 2026-08-02T03:07:56.617990Z

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Observation d7943493-1729-4c6a-9697-ddcff19e603a · outbound

This paper cites Springer New York, 1977.

Open surfaces with a triangle at infinity Springer New York, 1977

Reference 16

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Observation fa4da3b9-6118-43e9-ab29-e2cc32c703e3 · outbound

This paper cites Solutions of a generalized markoff equation in Fi- bonacci numbers.Mathematica Slovaca, 70(5):1069–1078, 2020.

Open surfaces with a triangle at infinity Solutions of a generalized markoff equation in Fi- bonacci numbers.Mathematica Slovaca, 70(5):1069–1078, 2020

Reference 17

Resolution: verified exact; doi, observed 2026-08-02T03:08:59.133356Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 47939d15-0ffa-4f2a-b21e-592de34e1814 · outbound

This paper cites an unresolved cited work.

Open surfaces with a triangle at infinity Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-08-02T03:08:58.807206Z

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Observation e8b02665-e529-4f59-91f8-c36ae45aed03 · outbound

This paper cites Log K3 surfaces with irreducible boundary.

Open surfaces with a triangle at infinity Log K3 surfaces with irreducible boundary

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-02T03:08:58.440973Z

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Observation 44bf86a2-e338-456a-84d2-a64548f4611d · outbound

This paper cites Cubic surfaces with infinite, discrete automorphism group.

Open surfaces with a triangle at infinity Cubic surfaces with infinite, discrete automorphism group

Reference 20

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Observation 98edbdca-c0c8-4060-8ace-b2723d89d5ef · outbound

This paper cites Diophantine equations via cluster transformations.Journal of Algebra, 462:320– 337, 2016.

Open surfaces with a triangle at infinity Diophantine equations via cluster transformations.Journal of Algebra, 462:320– 337, 2016

Reference 21

Resolution: verified exact; doi, observed 2026-08-02T03:08:58.111535Z

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Observation fd96ab84-a757-499b-b8ec-a584f71c4c2d · outbound

This paper cites an unresolved cited work.

Open surfaces with a triangle at infinity Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-02T03:08:57.749077Z

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Observation 5b9ec703-5f42-4441-8faf-d9fc01076703 · outbound

This paper cites an unresolved cited work.

Open surfaces with a triangle at infinity Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T03:07:56.641961Z

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Observation a99c24f6-48ef-4559-b1d6-998195e90114 · outbound

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Open surfaces with a triangle at infinity Unresolved cited work

Reference 24

Resolution: verified exact; doi, observed 2026-08-02T03:08:57.430142Z

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Observation 8f36c4d2-8801-4572-a8c9-7c2c65c42f0d · outbound

This paper cites an unresolved cited work.

Open surfaces with a triangle at infinity Unresolved cited work

Reference 25

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Observation 91c6873e-9367-4bfe-ad22-da06731009cc · outbound

This paper cites Automorphism groups of rigid affine surfaces: The identity component.Algebraic Geometry, 2026.

Open surfaces with a triangle at infinity Automorphism groups of rigid affine surfaces: The identity component.Algebraic Geometry, 2026

Reference 26

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Observation 7a4810b7-49cd-435d-ba14-973f0057cae6 · outbound

This paper cites Questions about the dynamics on a natural family of affine cubic surfaces.

Open surfaces with a triangle at infinity Questions about the dynamics on a natural family of affine cubic surfaces

Reference 27

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Observation 9f1a66b7-2830-46a5-8d3a-94f38238930f · outbound

This paper cites ¨Uber die Diophantische Gleichung ax2 + by2 + cz2 = dxyz.Journal f¨ ur die reine und angewandte Mathematik (Crelles Journal), 1979(305):122–125, 1979.

Open surfaces with a triangle at infinity ¨Uber die Diophantische Gleichung ax2 + by2 + cz2 = dxyz.Journal f¨ ur die reine und angewandte Mathematik (Crelles Journal), 1979(305):122–125, 1979

Reference 28

Resolution: verified exact; doi, observed 2026-08-02T03:08:57.131099Z

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Observation 1ec300d5-1378-488e-83e9-0f472c6953ef · outbound

This paper cites Clarendon Press, 1942.

Open surfaces with a triangle at infinity Clarendon Press, 1942

Reference 29

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Observation 9c68f7b7-b05b-4c6c-b8c0-9b391f166ed2 · outbound

This paper cites Silverman.

Open surfaces with a triangle at infinity Silverman

Reference 30

Resolution: verified exact; doi, observed 2026-08-02T03:08:56.797996Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c7c28a31-30f7-4b68-b691-e8ef69d8a6d8 · outbound

This paper cites Composition laws on the Fricke sur- face and Markov triples.Turkish Journal of Mathematics, 46(3):785–799, 2022.

Open surfaces with a triangle at infinity Composition laws on the Fricke sur- face and Markov triples.Turkish Journal of Mathematics, 46(3):785–799, 2022

Reference 31

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Observation 34e468c1-4d3f-4787-babb-a2bfd8ab994f · outbound

This paper cites CUBIC SURFACES OF MARKOV TYPE.Mathematics of the USSR- Sbornik, 22(3):333–348, 1974.

Open surfaces with a triangle at infinity CUBIC SURFACES OF MARKOV TYPE.Mathematics of the USSR- Sbornik, 22(3):333–348, 1974

Reference 32

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Observation 0d0d2391-1009-439b-9634-dee5a4cbf782 · outbound

This paper cites Автоморфизмы поверхностей марковского типа.

Open surfaces with a triangle at infinity Автоморфизмы поверхностей марковского типа

Reference 33

Resolution: verified exact; doi, observed 2026-08-02T03:08:56.499492Z

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Observation 8cdbe832-fc84-4d0f-a7eb-1b0e4059fde1 · outbound

This paper cites an unresolved cited work.

Open surfaces with a triangle at infinity Unresolved cited work

Reference 1880

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Pith citing papers

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