Paper Citation Record · LEDGER

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem

As of 10 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2509.09442.

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

pith.paper-citation-record.v1
2509.09442 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T19:15:28.657827Z

measured 44 of 44 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

44 of 44 outbound references displayed

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Outbound references

Observation 590972bc-decb-4943-9d7d-b384f493fc26 · outbound

This paper cites Berman, S \'e bastien Boucksom, Vincent Guedj, and Ahmed Zeriahi.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Berman, S \'e bastien Boucksom, Vincent Guedj, and Ahmed Zeriahi

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:27.631550Z

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Observation f779763a-77f1-4fca-9593-e235fd0fd599 · outbound

This paper cites Berman, S \'e bastien Boucksom, and Mattias Jonsson.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Berman, S \'e bastien Boucksom, and Mattias Jonsson

Reference 2

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Observation c2c6e11e-ff9f-4f6e-b0a7-efb4735c2797 · outbound

This paper cites Monge-amp \`e re equations in big cohomology classes.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Monge-amp \`e re equations in big cohomology classes

Reference 3

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Observation d8f84771-232e-4f93-b085-afa8333b7b04 · outbound

This paper cites Differentiability of volumes of divisors and a problem of Teissier.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Differentiability of volumes of divisors and a problem of Teissier

Reference 4

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Observation 3e8d6c73-8afa-40dd-b902-127a90d46854 · outbound

This paper cites Solution to a non- Archimedean Monge - Amp \`e re equation.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Solution to a non- Archimedean Monge - Amp \`e re equation

Reference 5

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Observation 83ff9b41-af78-4aad-bb54-847447b5b6ac · outbound

This paper cites Singular semipositive metrics in non- A rchimedean geometry.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Singular semipositive metrics in non- A rchimedean geometry

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:27.937264Z

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Observation a5e6dbb4-f893-46d7-9b51-11c21a15cb80 · outbound

This paper cites Differentiability of relative volumes over an arbitrary non- Archimedean field.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Differentiability of relative volumes over an arbitrary non- Archimedean field

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:27.982553Z

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Observation 3b229e00-17ac-4cc2-927c-068027623c3c · outbound

This paper cites A non-Archimedean approach to K-stability, I: Metric geometry of spaces of test configurations and valuations.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem A non-Archimedean approach to K-stability, I: Metric geometry of spaces of test configurations and valuations

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.037494Z

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Observation c4a65b86-7ea0-4178-80d0-b83883245105 · outbound

This paper cites Global pluripotential theory over a trivially valued field.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Global pluripotential theory over a trivially valued field

Reference 9

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Observation fd11d191-2b19-4482-abf5-165a8c1690b1 · outbound

This paper cites Measures of finite energy in pluripotential theory: a synthetic approach.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Measures of finite energy in pluripotential theory: a synthetic approach

Reference 10

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Observation b019ddff-96eb-44a5-bf5f-01b7a11b7f2a · outbound

This paper cites A non-Archimedean approach to K-stability, II: Divisorial stability and openness.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem A non-Archimedean approach to K-stability, II: Divisorial stability and openness

Reference 11

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Observation 9bc91d89-1086-49e2-a897-2ea43fd2d6f6 · outbound

This paper cites Non- Archimedean Green 's functions and Zariski decompositions.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Non- Archimedean Green 's functions and Zariski decompositions

Reference 12

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Observation 86cc9c5c-669c-4065-ae74-8a7a08948012 · outbound

This paper cites On the Yau--Tian--Donaldson conjecture for constant scalar curvature and weighted extremal K\"ahler metrics , 2025.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem On the Yau--Tian--Donaldson conjecture for constant scalar curvature and weighted extremal K\"ahler metrics , 2025

Reference 13

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Observation 3a597e28-3ccf-4bc3-94e0-92b9c0b4c008 · outbound

This paper cites C \^o nes positifs des vari \'e t \'e s complexes compactes.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem C \^o nes positifs des vari \'e t \'e s complexes compactes

Reference 14

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Observation ae7a365d-87da-482a-9d70-209058aee340 · outbound

This paper cites Divisorial Zariski decompositions on compact complex manifolds.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Divisorial Zariski decompositions on compact complex manifolds

Reference 15

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Observation 3d5ca94e-b241-4d1b-be77-3e95790fea2d · outbound

This paper cites On the constant scalar curvature K \"a hler metrics.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem On the constant scalar curvature K \"a hler metrics

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.519413Z

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Observation 42b89014-9ba8-4325-970a-de08e2cbfe12 · outbound

This paper cites On the constant scalar curvature K \"a hler metrics.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem On the constant scalar curvature K \"a hler metrics

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.548114Z

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Observation 0e2e9bcf-53c5-4841-93d5-9c49b75047f0 · outbound

This paper cites K \"a hler- Einstein metrics on Fano manifolds.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem K \"a hler- Einstein metrics on Fano manifolds

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.584120Z

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Observation 9d07fe37-14ad-4c79-bd27-8b8775ded3e0 · outbound

This paper cites K \"a hler- Einstein metrics on Fano manifolds.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem K \"a hler- Einstein metrics on Fano manifolds

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.586931Z

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Observation c4858cff-0baa-4e15-9ae6-08f7a0aa2f63 · outbound

This paper cites K \"a hler- Einstein metrics on Fano manifolds.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem K \"a hler- Einstein metrics on Fano manifolds

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.590450Z

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Observation 592644e0-def3-484f-a047-a40e487959b9 · outbound

This paper cites Collins and Valentino Tosatti.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Collins and Valentino Tosatti

Reference 21

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Observation 54fd6772-76ce-4202-9827-6d734566d498 · outbound

This paper cites The Mabuchi completion of the space of K \"a hler potentials.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem The Mabuchi completion of the space of K \"a hler potentials

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.595690Z

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Observation 4b98473c-a642-489f-b10b-14f5206b6b8e · outbound

This paper cites Geodesic rays and K \"a hler - Ricci trajectories on Fano manifolds.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Geodesic rays and K \"a hler - Ricci trajectories on Fano manifolds

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.598647Z

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Observation f6f122d0-ec5e-451b-9e16-d06a27f4007e · outbound

This paper cites Valuative stability of polarised varieties.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Valuative stability of polarised varieties

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.601326Z

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Observation 36166225-27e3-4247-a2ba-6953f0a90d6e · outbound

This paper cites K-stability for K \"a hler manifolds.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem K-stability for K \"a hler manifolds

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.603984Z

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Observation a8f63d43-b81c-4369-90d1-6a874c4517aa · outbound

This paper cites A transcendental approach to non-Archimedean metrics of pseudoeffective classes.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem A transcendental approach to non-Archimedean metrics of pseudoeffective classes

Reference 26

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Observation 39cee951-6a22-4cdd-b1fe-67f6ceac7df9 · outbound

This paper cites A YTD correspondence for constant scalar curvature metrics , 2025.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem A YTD correspondence for constant scalar curvature metrics , 2025

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.609473Z

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Observation a9f00af4-d2d0-4d1e-a209-42ca8b5a5950 · outbound

This paper cites Restricted volumes and base loci of linear series.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Restricted volumes and base loci of linear series

Reference 28

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Observation 58e5b718-97d1-472f-a0ac-8d07ba46985b · outbound

This paper cites A valuative criterion for uniform K -stability of \( Q \) - Fano varieties.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem A valuative criterion for uniform K -stability of \( Q \) - Fano varieties

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.614898Z

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Observation 5bfc1908-c563-4640-a8cd-71e2cece51cc · outbound

This paper cites Valuations and asymptotic invariants for sequences of ideals.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Valuations and asymptotic invariants for sequences of ideals

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.617708Z

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Observation a79250b1-33b5-4b39-8925-90d71e124fda · outbound

This paper cites The complex Monge - Amp \`e re equation.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem The complex Monge - Amp \`e re equation

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.620598Z

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Observation 507d9359-ed1a-425e-9776-572a777a4840 · outbound

This paper cites Non-Archimedean Kähler geometry , 2001.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Non-Archimedean Kähler geometry , 2001

Reference 32

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Observation 89939165-0eb9-4dca-a8e7-70de9d07047a · outbound

This paper cites K-semistability is equivariant volume minimization.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem K-semistability is equivariant volume minimization

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.625922Z

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Observation fda3b225-018d-4b97-bd6b-14c8548baa9c · outbound

This paper cites Geodesic rays and stability in the lowercase cscK problem.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Geodesic rays and stability in the lowercase cscK problem

Reference 34

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Observation d9d73803-b127-4753-84cb-bb3aeab8fac5 · outbound

This paper cites K-stability and Fujita approximation.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem K-stability and Fujita approximation

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.631594Z

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Observation 6afa7eb4-5e35-4e60-92f7-fcaac8ec4e93 · outbound

This paper cites Non-Archimedean methods for canonical Kähler metrics.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Non-Archimedean methods for canonical Kähler metrics

Reference 36

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Observation 0f37e681-7c5d-48dc-8ce3-f05c9f5c0d7d · outbound

This paper cites Convex bodies associated to linear series.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Convex bodies associated to linear series

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.637347Z

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Observation ed346c54-c876-4ac9-aa5b-985ca4153198 · outbound

This paper cites Special test configuration and \(K\) -stability of Fano varieties.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Special test configuration and \(K\) -stability of Fano varieties

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.639881Z

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Observation 76c7b7b5-132e-4af2-9265-712f4e3c6638 · outbound

This paper cites A non-Archimedean theory of complex spaces and the cscK problem.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem A non-Archimedean theory of complex spaces and the cscK problem

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.642936Z

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Observation 9033b99f-f194-45bb-b6c9-815837ab27ca · outbound

This paper cites o m. Deformations of K \.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem o m. Deformations of K \

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.645547Z

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Observation 7d4b3853-75b7-44b6-9550-525fcdcfcaa3 · outbound

This paper cites K-semistability of cscK manifolds with transcendental cohomology class.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem K-semistability of cscK manifolds with transcendental cohomology class

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.648251Z

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Observation 5fccec2a-8d03-4ed0-92b2-4594659d1ba4 · outbound

This paper cites Derivative of volumes of big cohomology classes.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Derivative of volumes of big cohomology classes

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.651719Z

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Observation eb141469-4a11-4af6-9d7d-ba8a46ea3ad5 · outbound

This paper cites Calabi's conjecture and some new results in algebraic geometry.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem Calabi's conjecture and some new results in algebraic geometry

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.654771Z

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Observation acb234c4-a3ba-4489-8fbe-ce1295b8c910 · outbound

This paper cites On the Ricci curvature of a compact K \"a hler manifold and the complex Monge - Amp \`e re equation.

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem On the Ricci curvature of a compact K \"a hler manifold and the complex Monge - Amp \`e re equation

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T19:15:28.657827Z

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