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Paper Citation Record · LEDGER

Growth rate of balls of holomorphic sections on compact Riemann surfaces

As of 5 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2604.12333.

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

pith.paper-citation-record.v1
2604.12333 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T14:30:24.549341Z

measured 34 of 34 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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

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Source: cited_works

Reference resolution

34 of 34 outbound references displayed

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  • unresolved3
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External citation measurements

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Outbound references

Observation a365f2b8-6f0f-43f3-9757-6f4a384d6c9d · outbound

This paper cites Convergence speed for Fekete points on uniformly polynomially cuspidal sets.Math.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Convergence speed for Fekete points on uniformly polynomially cuspidal sets.Math

Reference 1

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:6ccdf41ee98db749aad420c2bba18a9eefba5b6217fb1a0a2d44cba97636d3e1

Observation 87d92adb-6524-458a-93b3-c9a8c1f3d0f5 · outbound

This paper cites Bosonization on higher genus Riemann surfaces.Comm.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Bosonization on higher genus Riemann surfaces.Comm

Reference 2

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raw_fallback, observed 2026-05-18T12:32:37.171660Z

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:bbecc8da5db94a454d8ce5fe6e84be5b1a5652d9fd3715ed77aeca27e2e30db2

Observation c4d9c9d3-f434-48e4-ac75-ca58175aebe5 · outbound

This paper cites Beurling-Landau densities of weighted Fekete sets and correlation kernel estimates.J.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Beurling-Landau densities of weighted Fekete sets and correlation kernel estimates.J

Reference 3

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raw_fallback, observed 2026-05-18T12:32:37.177521Z

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:5af73771434b6a8758bd498d280dd4215aa2e811605eed2f96dfd48c0992003d

Observation 085f36d9-a915-4123-a385-c9500c7a258f · outbound

This paper cites Bergman kernels on punctured Riemann surfaces.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Bergman kernels on punctured Riemann surfaces

Reference 4

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raw_fallback, observed 2026-05-18T12:32:37.167984Z

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:4a85e00327e209f110a829a7587c6480264c8f3495af88b0b887207c0839a43b

Observation a8c49a32-14c4-4b4c-ba14-12a240f05ed5 · outbound

This paper cites Growth of balls of holomorphic sections and energy at equilibrium.Invent.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Growth of balls of holomorphic sections and energy at equilibrium.Invent

Reference 5

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raw_fallback, observed 2026-05-18T12:32:37.180536Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:35d11df8dfb847eb25d43b5e5cca1cb1afaaae9a8ac97d68531a6c6d1aa51fbf

Observation 81ab87fc-5b0f-49d0-aba5-b328175b2dcd · outbound

This paper cites Fekete points and convergence towards equilibrium measures on complex manifolds.Acta Math., 207(1):1–27.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Fekete points and convergence towards equilibrium measures on complex manifolds.Acta Math., 207(1):1–27

Reference 6

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:2657bb274a28f338bb4195ea38941cc82c0876c78785785848ef0e8812843cb8

Observation 73cb2046-4228-42d3-a218-6e324578a65f · outbound

This paper cites an unresolved cited work.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Unresolved cited work

Reference 7

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:be34de705fb419d64bdc5ce622f206d986e64387c4e533d26866d79b49a53eda

Observation 49dda4f8-fcd1-4667-a93f-8e2699596f0d · outbound

This paper cites The Bergman kernel and a theorem of Tian.

Growth rate of balls of holomorphic sections on compact Riemann surfaces The Bergman kernel and a theorem of Tian

Reference 8

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raw_fallback, observed 2026-05-18T12:32:37.137351Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:0f86ec6f4794ac9f8028c4b4b924dec83976717e4b15d08e73a3cbb041806edd

Observation 25aa2532-669f-4ac1-8b6b-208eae02370e · outbound

This paper cites Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds.Adv.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds.Adv

Reference 9

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raw_fallback, observed 2026-05-18T12:32:37.086201Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:1da262ad00c37d068f0d5173483d5406933544bb0ebbf3c93ae7bf22f56bd90e

Observation 8b8744fc-2960-4580-9a79-574b5c8f9aac · outbound

This paper cites ujf-grenoble.fr/~demailly/manuscripts/agbook.pdf.

Growth rate of balls of holomorphic sections on compact Riemann surfaces ujf-grenoble.fr/~demailly/manuscripts/agbook.pdf

Reference 10

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:b8221bb8703a541075c88967f7dfeec4ad797a5db9d35df56c1eacd5e743bf5b

Observation 862e5bb0-5cde-4eb5-91c6-20467f15d811 · outbound

This paper cites Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian line bundles.J.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian line bundles.J

Reference 11

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raw_fallback, observed 2026-05-18T12:32:37.120672Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:115947eacbd5fcc648eeb2808c0364e09af2cf3bcc31b989ec5f13580c3b4c07

Observation c2c90393-81b0-455d-bd2b-c0418f33b2a9 · outbound

This paper cites Equidistribution speed for Fekete points associated with an ample line bundle.Ann.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Equidistribution speed for Fekete points associated with an ample line bundle.Ann

Reference 12

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raw_fallback, observed 2026-05-18T12:32:37.157798Z

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:840b73d8ad3b7fe5ee87fc91b9fd6c0c6ce808377dd93783934cd7b8ff659c5f

Observation 74375fa5-6c83-476e-90b9-eafacfe333d6 · outbound

This paper cites Large deviation principle for some beta ensembles.Trans.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Large deviation principle for some beta ensembles.Trans

Reference 13

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:2276c7cdaa973473d47cfed01a29554786c51471d95ab8744f54fefee945c655

Observation 00d0aa1d-1016-4b3f-bc68-ed565261091e · outbound

This paper cites Théorie globale du pluripotentiel, équidistribution et processus ponctuels [d’après Berman, Boucksom, Witt Nyström.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Théorie globale du pluripotentiel, équidistribution et processus ponctuels [d’après Berman, Boucksom, Witt Nyström

Reference 14

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raw_fallback, observed 2026-05-18T12:32:37.134746Z

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:c9be4383226c563aebef8ce4ac1819c10bc880494465feb900149d52f039e00f

Observation 78f13d56-f5ee-4167-af93-0815cce359d6 · outbound

This paper cites Point processes, hole events, and large deviations: random complex zeros and Coulomb gases.Constr.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Point processes, hole events, and large deviations: random complex zeros and Coulomb gases.Constr

Reference 15

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raw_fallback, observed 2026-05-18T12:32:37.085053Z

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:f2228e89fb226e20a8fd9f2db4859a226b80bb4a9e55665cb808a10ab9a2765a

Observation 1ee9379e-e793-44bd-a07f-3266fc6af186 · outbound

This paper cites Wiley Classics Library.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Wiley Classics Library

Reference 16

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raw_fallback, observed 2026-05-18T12:32:37.134364Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:71b2085022dfa560e540e171f8192226bdb35c5d739ebe564d99a21bc8ccb999

Observation 79e6d682-2520-4a46-84ba-ec34fa543827 · outbound

This paper cites Gunning.Lectures on Riemann surfaces, Jacobi varieties.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Gunning.Lectures on Riemann surfaces, Jacobi varieties

Reference 17

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:984a707b8771f28af6b180d79beead129d7359301c2f36b26d298699039c6f1b

Observation 2226535c-daba-43d6-8e69-7ce6e22f7f8a · outbound

This paper cites Laughlin states on higher genus Riemann surfaces.Comm.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Laughlin states on higher genus Riemann surfaces.Comm

Reference 18

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:add011a7998962c2c32c688c72ef3039274f9a0872949b830eb4f9e04be12891

Observation 498883f9-9946-4f82-87c1-0604f8ac4b22 · outbound

This paper cites Springer-Verlag, New York.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Springer-Verlag, New York

Reference 19

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:e6d48d67a09a96c0bb6ef5860c619086e72dbb7a051d1eaf145e079fb217f87f

Observation 0a0717c0-f361-4b75-a902-f628dca16fe3 · outbound

This paper cites an unresolved cited work.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Unresolved cited work

Reference 20

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:207350fd04cda89708043b3bf6ed8515d976e6a7c61d55d1c66a696e789bb429

Observation 7edc8f6f-045e-4d8e-90f6-f9f0d8a88415 · outbound

This paper cites an unresolved cited work.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Unresolved cited work

Reference 21

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:2111b9863474a2d46ea3dce14c5296c768a838f53a7ccd94e05d3449b2aa8e85

Observation a5ce383a-8322-440c-a050-3ab562054c9d · outbound

This paper cites Equidistribution estimates for Fekete points on complex manifolds.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Equidistribution estimates for Fekete points on complex manifolds

Reference 22

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raw_fallback, observed 2026-05-18T12:32:37.148326Z

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:ef15cee923f2a19802d93ba260f99b1ec9bdfb64072cb3d987fdb9fc7177e20a

Observation e8c8bdc8-b445-4987-9b3b-5d0bdfc4a629 · outbound

This paper cites Approximation inC N.Surv.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Approximation inC N.Surv

Reference 23

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raw_fallback, observed 2026-05-18T12:32:37.126125Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:3db7e99035b6dca6c8d08c488d4613918b13fe3a48748ea60c90a5ddac51df51

Observation da2063f8-ca4c-4822-82c6-73fe8d561366 · outbound

This paper cites Birkhäuser Verlag, Basel.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Birkhäuser Verlag, Basel

Reference 24

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raw_fallback, observed 2026-05-18T12:32:37.115446Z

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:4730f3907300d6509f4a2e6e76443e7c99ae9f854c67d5e1ed14fb00f53f6d41

Observation 54e4c879-0087-4db3-b550-7de5e84bee07 · outbound

This paper cites Exponential estimate for the asymptotics of Bergman kernels.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Exponential estimate for the asymptotics of Bergman kernels

Reference 25

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raw_fallback, observed 2026-05-18T12:32:37.115702Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:91d9c790e32a0b2a849449f4074f87dd58fc01da0cf8a7e4718f5836026bf14d

Observation 2ae0b2dc-541f-41cc-a189-3159afc44820 · outbound

This paper cites Bochner Laplacian and Bergman kernel expansion of semipositive line bundles on a Riemann surface.Math.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Bochner Laplacian and Bergman kernel expansion of semipositive line bundles on a Riemann surface.Math

Reference 26

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raw_fallback, observed 2026-05-18T12:32:37.121728Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:4a6cad98d3a2c7af769e29e142248b3e5d80356af807d1008d618adaeff1f9f3

Observation 23a55f8e-0d53-4d66-8181-b5b4745de4ea · outbound

This paper cites Bergman kernel functions associated to measures supported on totally real submanifolds.J.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Bergman kernel functions associated to measures supported on totally real submanifolds.J

Reference 27

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raw_fallback, observed 2026-05-18T12:32:37.089296Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:6fe95f6835e3cae529f74f2f35fc5eae7f64a0e9927ecad42e9712e30d6b244e

Observation a97353f9-f26d-4fda-b685-2dfbe7ad08ee · outbound

This paper cites The forbidden region for random zeros: appearance of quadrature domains.Comm.

Growth rate of balls of holomorphic sections on compact Riemann surfaces The forbidden region for random zeros: appearance of quadrature domains.Comm

Reference 28

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raw_fallback, observed 2026-05-18T12:32:37.137625Z

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:5ac6274474f4eb493fc47ab923b05ea2bbbb5e15b6e767fa20dfd4322bd11884

Observation 29062be0-0739-4685-90a4-481f01ff4197 · outbound

This paper cites Saff and Vilmos Totik.Logarithmic potentials with external fields, volume 316 ofGrundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Growth rate of balls of holomorphic sections on compact Riemann surfaces Saff and Vilmos Totik.Logarithmic potentials with external fields, volume 316 ofGrundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 29

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raw_fallback, observed 2026-05-18T12:32:37.140602Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:777e0a726b7d5dfb1b3bf71bee1450c1dfb503cc9b78a4f5386aabc322b77deb

Observation 6e185504-6384-422b-a926-cf703448d6f2 · outbound

This paper cites On a set of polarized Kähler metrics on algebraic manifolds.J.

Growth rate of balls of holomorphic sections on compact Riemann surfaces On a set of polarized Kähler metrics on algebraic manifolds.J

Reference 30

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raw_fallback, observed 2026-05-18T12:32:37.123307Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:4b758bf5bc59fb6924b07f803f2a6c99c24b41ba26a3e57de92c3e8559c7f412

Observation b796318e-20ca-45ce-99bd-c6af915b9356 · outbound

This paper cites Equidistribution rate for Fekete points on some real manifolds.Amer.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Equidistribution rate for Fekete points on some real manifolds.Amer

Reference 31

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raw_fallback, observed 2026-05-18T12:32:37.154323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:548b6855177f50ee057a92b1443f0250faf0e03fa50447dcbae615336c418c8a

Observation 6bd6334e-e823-49cc-9172-433c7f39954d · outbound

This paper cites Asymptotics of hole probability regarding open balls for random sections on compact Riemann surfaces.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Asymptotics of hole probability regarding open balls for random sections on compact Riemann surfaces

Reference 32

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arxiv_id, observed 2026-05-10T14:30:30.413787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:1d7a1880b8ede32ac09f2739821d622ce4dd337e095075f8573040f07708d666

Observation ce3f8335-8558-42d2-aaba-4eb7604c3581 · outbound

This paper cites Szeg ˝o kernels and a theorem of Tian.Internat.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Szeg ˝o kernels and a theorem of Tian.Internat

Reference 33

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raw_fallback, observed 2026-05-18T12:32:37.128954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:b96ef574180f5f0e9a51b12f35b9def51687bfbfcffe2484df470cc451bda2a4

Observation 0a903a0c-d7b0-477b-b181-6e21f3a25ff4 · outbound

This paper cites Large deviations of empirical measures of zeros on Riemann surfaces.Int.

Growth rate of balls of holomorphic sections on compact Riemann surfaces Large deviations of empirical measures of zeros on Riemann surfaces.Int

Reference 34

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raw_fallback, observed 2026-05-18T12:32:37.131539Z

Source-reported events for the cited work

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source=pdf_text observed=2026-05-10T14:30:24.549341Z digest=sha256:1d4d4771f3aeab88d146a6f799752249ecd58ab38127baa9e4ef3e065616ae46

Pith citing papers

No inbound Pith citation observations are available.