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Paper Citation Record · LEDGER

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems

As of 22 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 2 inbound Pith citation observations for arXiv:2412.05639.

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

pith.paper-citation-record.v1
2412.05639 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:48:07.334883Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:49:35.282974Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T09:20:59.764341Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact2
  • verified fuzzy14
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 892913f0-2ff3-4784-8ced-01c5c94f0521 · outbound

This paper cites Some systems with unique equilibrium state s.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems Some systems with unique equilibrium state s

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 533402c7-ec92-453b-af6c-6d1ad175e746 · outbound

This paper cites Renormalization, the rmodynamic formalism and quasi-crystals in subshifts.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems Renormalization, the rmodynamic formalism and quasi-crystals in subshifts

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:48:09.484929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c3c22691-5b25-4102-8f78-174ac9ae0c4e · outbound

This paper cites Renormalization, fre ezing phase transitions and Fibonacci qua- sicrystals.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems Renormalization, fre ezing phase transitions and Fibonacci qua- sicrystals

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:48:09.358340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4ccb9a09-261d-4cf9-a9b8-5796be0dd4f5 · outbound

This paper cites Nonlinear thermodynamical formalism.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems Nonlinear thermodynamical formalism

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-11T20:48:07.785860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 979c0c5f-302f-4fde-8781-cf73ae09b856 · outbound

This paper cites On the zero-t emperature limit of Gibbs states.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems On the zero-t emperature limit of Gibbs states

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:48:09.232566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 31173c20-ed43-47a3-8d26-b38f071826a4 · outbound

This paper cites On separation and approximation of real func tions defined on a Choquet simplex.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems On separation and approximation of real func tions defined on a Choquet simplex

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:48:09.101271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 7dcf5e6f-d3f8-44c6-b221-45cda55b83c8 · outbound

This paper cites an unresolved cited work.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:48:08.974741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 37fdbeef-46dc-47dd-be95-eafef7576ab2 · outbound

This paper cites Examples for the nonuniqueness of the eq uilibrium state.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems Examples for the nonuniqueness of the eq uilibrium state

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:48:08.845327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4d815c66-a3cc-4639-ae48-a265df273672 · outbound

This paper cites Every ergodic measure is uniquely max imizing.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems Every ergodic measure is uniquely max imizing

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:48:08.719669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4fa934ca-441f-48eb-8b76-7a2ca8c30fc2 · outbound

This paper cites Asymptotic behavior of the pressure function for H\"older potentials.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems Asymptotic behavior of the pressure function for H\"older potentials

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-11T20:48:07.565156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation e812150c-4288-4e7c-bb84-0b6ea3049306 · outbound

This paper cites M ultiple phase transitions on compact sym- bolic systems.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems M ultiple phase transitions on compact sym- bolic systems

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:48:08.614757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c9752ba2-7c54-40c2-8dc3-2e2ecda9c11c · outbound

This paper cites The zeta function, non-differentiab ility of pressure, and the critical exponent of transition.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems The zeta function, non-differentiab ility of pressure, and the critical exponent of transition

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:48:08.560093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 37114738-4bfb-4969-b5db-8420a0c390ca · outbound

This paper cites Breaking of periodicity at positive temperatures.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems Breaking of periodicity at positive temperatures

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4d82a741-91cc-403c-b954-3dde746eab70 · outbound

This paper cites Ergodic optimization for generic continu ous functions.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems Ergodic optimization for generic continu ous functions

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:48:08.351702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 3315b10d-5bd7-474c-9f64-c39b8d6d9e87 · outbound

This paper cites Thermodynamic formalism: the mathematical structure of equilibrium statistical mechanics.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems Thermodynamic formalism: the mathematical structure of equilibrium statistical mechanics

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:48:08.194844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation f27ae9ef-f856-47a1-bb3a-7498e6ac8159 · outbound

This paper cites Entropy of flows, revisit ed.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems Entropy of flows, revisit ed

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:48:08.034753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation de212d2e-f489-4d16-831d-f8b92294f55f · outbound

This paper cites An introduction to ergodic theory, volume 79 of Graduate Texts in Mathematics.

On the Equivalence of Equilibrium and Freezing States in Dynamical Systems An introduction to ergodic theory, volume 79 of Graduate Texts in Mathematics

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:48:07.934750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Pith citing papers

Observation e39440b3-9da3-4750-bc79-a731663955d4 · inbound

Induced Topological Pressure for Dynamical Systems cites this paper.

Induced Topological Pressure for Dynamical Systems On the Equivalence of Equilibrium and Freezing States in Dynamical Systems

Reference 13

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ca23fad1-0abf-41b9-ba62-e7b00e31fe81 · inbound

Which Phases Are Thermodynamically Realizable? A Local Entropy Criterion cites this paper.

Which Phases Are Thermodynamically Realizable? A Local Entropy Criterion On the Equivalence of Equilibrium and Freezing States in Dynamical Systems

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-11T09:20:59.766881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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