Pith. sign in

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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.754435Z digest=sha256:857a107198686e0495dcafaccd34af8856f15a8bab490c8b6f6f374fe7fc5b21

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.758418Z digest=sha256:2a715d3691b8027cb852d9553456699227fc2e538197abab3a49581c2369d2d5

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.762214Z digest=sha256:6fef5d2014a103070278789a0557a63f6e915d3f9f4fa49450bdaea2ffd0c076

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.765970Z digest=sha256:db4167decae0baf2306b2067b4f3ac808eb62a8996427605f3a4f5d06e53854b

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.770522Z digest=sha256:97efaf28160b6a9276c3e8149072dbcaf72ae14b4091786a1a4276b545fc7132

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.774425Z digest=sha256:57c483ce0a96c99c36ce3be48e70d4a3f84202d59699a70c88c7c079fc9284ea

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.778709Z digest=sha256:85b8605109dfbe391f1fcdf93dbf193420f3e627b563fff0e458b74c11566335

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.782751Z digest=sha256:3255146f9ecb1049ca9a619d87484b5e6d14bad5c9d3abbb0cf8e9fb93effc7a

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.786151Z digest=sha256:e0d5bf9a33a9988df241758ec919c6c94cb37d961c556fba7038e341182ae9eb

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.789651Z digest=sha256:b99ada101ae5c0e769fe1175fcc6af60bf75d3ea469caf7d15c06452a6bed537

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.793210Z digest=sha256:1269dfca59dcd41e5f6ff2ea4cbe49173b5d6f5830d53a95d3a21a87dc1b8635

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.797188Z digest=sha256:aa36a0e521b21782d9af2074e71fbc142a84626bf79a7e9f0da6c72d11615f91

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.801644Z digest=sha256:86dbc09454b55437c849b5cf3332270738a4d6e2e12a9c2be371c93e691ec224

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.805648Z digest=sha256:50ff428a7d2f8b46f636bdbee890af3dc3720b1d4a8618b77be788a1f7b24d59

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.809549Z digest=sha256:78a7b9a30847f7f531626d31478df39baaec81dc8d43445962db867683e3c2a7

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.812982Z digest=sha256:075362c46aeff475a3c8167e7121187cb3976c72c846c6bbd75941a8d8c55e1b

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.816790Z digest=sha256:332f154cd178b997cd0ebc6822c78e10a15a1e4b5cd3d3256127170b3115c865

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.821113Z digest=sha256:2469ed545e88ba316b3784afb392edef40c2ea808e730fa7d369607ac2a6299e

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.824861Z digest=sha256:0f692bb274fbcf0e2171966f8ae64a6f9605f6c2fb68b4883671a8e59b378dca

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.828600Z digest=sha256:6333bdbba44a2ee70132e598c3da8c725467a9d17e4f4d38a7d55db9da91f757

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.832300Z digest=sha256:6bc1b4b99e84fe9a317235bb140139a2809af1122424ffc1db7401604a31a40b

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.

source=arxiv_source observed=2026-08-05T10:22:39.836292Z digest=sha256:c30fc595b941b508718d0fedd3d05091f2b3aa4e4080f38f6817c15165b09d60

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.840428Z digest=sha256:0d8b59198f99d8b70f80b7f3ba0e173518b132ddefbfd7d6ed352ed42a7b2d73

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.843751Z digest=sha256:983a3dee630f6e05b0ebfaa60c463f13ee4b7ed2b4305becc717e3083d1774ce

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.847284Z digest=sha256:f6b0e3f3845695c29800fe40a3250d4c13104aa064996eb17be157fc8d31a3f1

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.850625Z digest=sha256:7dda8b94c76e8a9786cd31405e3fa48a99f77bd8073fc719983acc2f72361deb

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.854064Z digest=sha256:352d58a29822ee2381aba095aaf8404f02917ff3802c5015299b3f6d7b273af4

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T10:22:39.857605Z digest=sha256:aa73ea1a2eebae13c23bc34d028ec5dcd970b925a4b4f65a97081c861dbc0129

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-20T01:58:14.569962Z digest=sha256:ba1b115a002aeba78b5a5dae8ed698907b8299a774b4b78681b37e1a0118dc90

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-07-10T12:39:58.882443Z digest=sha256:4b1b5bc5d43ef6780a1dfffa66f9038fd6ed754c43afc07359516b004cfabd09