Paper Citation Record · LEDGER

Energy, equilibrium measure and entropy for toric surface maps

As of 19 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:2509.04278.

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

pith.paper-citation-record.v1
2509.04278 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:22:39.857605Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-10T12:39:58.882443Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T12:47:05.492385Z

Reference resolution

28 of 28 outbound references displayed

verified exact0
verified fuzzy26
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 90a0cca6-e014-4d68-89f3-9bdde2db837d · outbound

This paper cites Energy and invariant measures for birational surface maps.

Energy, equilibrium measure and entropy for toric surface maps Energy and invariant measures for birational surface maps

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.233709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 64c45787-9d64-4494-9df5-33a8517fe864 · outbound

This paper cites Polynomial diffeomorphisms of C ^2 : currents, equilibrium measure and hyperbolicity.

Energy, equilibrium measure and entropy for toric surface maps Polynomial diffeomorphisms of C ^2 : currents, equilibrium measure and hyperbolicity

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.221959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 71d620cd-5d57-4110-a197-bd8d40fcdb3c · outbound

This paper cites an unresolved cited work.

Energy, equilibrium measure and entropy for toric surface maps Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:22:40.209757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c62769a5-97cb-4d19-ab05-01e78b0288df · outbound

This paper cites Bell, Jeffrey Diller, and Mattias Jonsson.

Energy, equilibrium measure and entropy for toric surface maps Bell, Jeffrey Diller, and Mattias Jonsson

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.197364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ff8d6799-04de-4908-878b-fcab50e50f29 · outbound

This paper cites Dynamical degrees of birational transformations of projective surfaces.

Energy, equilibrium measure and entropy for toric surface maps Dynamical degrees of birational transformations of projective surfaces

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.184655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 46efc116-65fd-4a34-9e10-a258bb8769fd · outbound

This paper cites Bonifant and J.-E.

Energy, equilibrium measure and entropy for toric surface maps Bonifant and J.-E

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.171992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f34af1fd-9549-4b31-8d95-188d24f35726 · outbound

This paper cites Degree growth of meromorphic surface maps.

Energy, equilibrium measure and entropy for toric surface maps Degree growth of meromorphic surface maps

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.159149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 14ead5b8-7c87-430a-89a2-8e3b175fb349 · outbound

This paper cites Sur les groupes de transformations birationnelles des surfaces.

Energy, equilibrium measure and entropy for toric surface maps Sur les groupes de transformations birationnelles des surfaces

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.146517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cfa2a4ab-ceb1-4cfe-bcd8-5baf29c5b016 · outbound

This paper cites Cox, John B.

Energy, equilibrium measure and entropy for toric surface maps Cox, John B

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.134366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3ae22bef-04d4-43aa-a33c-14d5b59d0dae · outbound

This paper cites Demailly.

Energy, equilibrium measure and entropy for toric surface maps Demailly

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.122091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 983eb4f4-2b82-40b5-83b4-6be85f44edf0 · outbound

This paper cites Sur l'\' e tude de l'entropie des applications m\' e romorphes.

Energy, equilibrium measure and entropy for toric surface maps Sur l'\' e tude de l'entropie des applications m\' e romorphes

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.110172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1bcbf07e-aaac-469c-851e-5a7a04454d90 · outbound

This paper cites Dynamics of meromorphic maps with small topological degree I : from cohomology to currents.

Energy, equilibrium measure and entropy for toric surface maps Dynamics of meromorphic maps with small topological degree I : from cohomology to currents

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.098073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d187c1d5-2b58-4066-b5eb-5ef324c08301 · outbound

This paper cites Dynamics of meromorphic mappings with small topological degree II : E nergy and invariant measure.

Energy, equilibrium measure and entropy for toric surface maps Dynamics of meromorphic mappings with small topological degree II : E nergy and invariant measure

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.084541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 365cee17-29b1-4721-9c6a-91211036d82a · outbound

This paper cites Dynamics of meromorphic maps with small topological degree III : geometric currents and ergodic theory.

Energy, equilibrium measure and entropy for toric surface maps Dynamics of meromorphic maps with small topological degree III : geometric currents and ergodic theory

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.071979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e30972d5-f331-4430-8282-6c17ba8e1dc8 · outbound

This paper cites Rational surface maps with invariant meromorphic two-forms.

Energy, equilibrium measure and entropy for toric surface maps Rational surface maps with invariant meromorphic two-forms

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.059509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4c741cf3-ef60-4a77-8416-c03dfcf2db99 · outbound

This paper cites Equidistribution without stability for plane rational maps.

Energy, equilibrium measure and entropy for toric surface maps Equidistribution without stability for plane rational maps

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.045985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b6359082-9ebe-4f52-b0d2-faa31466eed1 · outbound

This paper cites Une borne sup\' e rieure pour l'entropie topologique d'une application rationnelle.

Energy, equilibrium measure and entropy for toric surface maps Une borne sup\' e rieure pour l'entropie topologique d'une application rationnelle

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.032513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cb5279b5-4eab-44a4-9a68-0421b3b280e0 · outbound

This paper cites Structure properties of laminar currents on P 2.

Energy, equilibrium measure and entropy for toric surface maps Structure properties of laminar currents on P 2

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.018661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation abbb6cc7-74af-4dd3-a7ec-91758c241f3d · outbound

This paper cites Laminar currents and birational dynamics.

Energy, equilibrium measure and entropy for toric surface maps Laminar currents and birational dynamics

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:40.005655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 00efa084-c06a-44ab-99cd-8974b3072cd9 · outbound

This paper cites Note on pull-back and L elong number of currents.

Energy, equilibrium measure and entropy for toric surface maps Note on pull-back and L elong number of currents

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:39.993488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 21deaea7-44d5-4d88-921c-603b91fd42d0 · outbound

This paper cites Dynamical compactifications of C ^2.

Energy, equilibrium measure and entropy for toric surface maps Dynamical compactifications of C ^2

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:39.981117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cddf1812-29cf-405c-853a-9c0464b92a02 · outbound

This paper cites Entropie topologique des applications m\' e romorphes.

Energy, equilibrium measure and entropy for toric surface maps Entropie topologique des applications m\' e romorphes

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-05T10:22:39.836292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b09e4eb-3e2b-496e-9beb-60da395135ea · outbound

This paper cites Degenerate complex M onge- A mp\`ere equations.

Energy, equilibrium measure and entropy for toric surface maps Degenerate complex M onge- A mp\`ere equations

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:39.957521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 54c780df-5b6b-4ced-b3b4-74f2ba38dcff · outbound

This paper cites Hubbard and Peter Papadopol.

Energy, equilibrium measure and entropy for toric surface maps Hubbard and Peter Papadopol

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:39.942953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f5811cff-e825-4e79-8fc4-41b4bf4e7178 · outbound

This paper cites Introduction to the modern theory of dynamical systems, volume 54 of Encyclopedia of Mathematics and its Applications.

Energy, equilibrium measure and entropy for toric surface maps Introduction to the modern theory of dynamical systems, volume 54 of Encyclopedia of Mathematics and its Applications

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:39.930119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 630b465a-8a92-41cb-a0fc-3e988793ea11 · outbound

This paper cites Quelques probl\`emes de prolongement de courants en analyse complexe.

Energy, equilibrium measure and entropy for toric surface maps Quelques probl\`emes de prolongement de courants en analyse complexe

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:39.917152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ab06d9ec-d537-4d21-9a7b-12c8e65d851b · outbound

This paper cites Dynamique des applications rationnelles de P k.

Energy, equilibrium measure and entropy for toric surface maps Dynamique des applications rationnelles de P k

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:39.904558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 810e2ce1-5b71-4d33-8dad-ac546a205663 · outbound

This paper cites Analyticity of sets associated to L elong numbers and the extension of closed positive currents.

Energy, equilibrium measure and entropy for toric surface maps Analyticity of sets associated to L elong numbers and the extension of closed positive currents

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:22:39.890923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation b5c55f4e-9aae-4581-bbd3-6b0603e48a72 · inbound

Random products of birational maps: Equidistribution of preimages of curves cites this paper.

Random products of birational maps: Equidistribution of preimages of curves Energy, equilibrium measure and entropy for toric surface maps

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-20T02:02:58.492296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 953fdc19-af87-417d-b81e-9985894e1615 · inbound

Complex dynamics perspective for birational maps of the plane arising from cluster algebra mutations cites this paper.

Complex dynamics perspective for birational maps of the plane arising from cluster algebra mutations Energy, equilibrium measure and entropy for toric surface maps

Reference 58

Resolution: verified exact; local_arxiv, observed 2026-07-10T12:47:05.493494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.