Paper Citation Record · LEDGER

A perturbed cellular automaton with two phase transitions for the ergodicity

As of 20 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2507.03485.

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

pith.paper-citation-record.v1
2507.03485 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:21:56.370063Z

measured 13 of 13 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T15:18:48.905079Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

verified exact4
verified fuzzy4
unresolved3
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 29378fc7-847f-4a23-93c3-ad041e5859f9 · outbound

This paper cites Applied Probability and Queues.

A perturbed cellular automaton with two phase transitions for the ergodicity Applied Probability and Queues

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T20:21:54.751480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61e71ed8-e3e2-445f-84d3-4bd5b6498bf7 · outbound

This paper cites Reliable computation with cellular automata.

A perturbed cellular automaton with two phase transitions for the ergodicity Reliable computation with cellular automata

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T20:21:54.852557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3126941c-b21e-424c-bd09-fc8a7cd158e6 · outbound

This paper cites Probabilistic cellular automata with Andrei Toom.

A perturbed cellular automaton with two phase transitions for the ergodicity Probabilistic cellular automata with Andrei Toom

Reference 3

Resolution: verified exact; doi, observed 2026-08-06T20:21:57.044383Z

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 c0f50a68-500e-4770-917c-4fac4138120c · outbound

This paper cites Reliable Cellular Automata with Self-Organization.

A perturbed cellular automaton with two phase transitions for the ergodicity Reliable Cellular Automata with Self-Organization

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:57.615194Z

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 90d18a81-7c55-446c-a829-30dc1a66da1b · outbound

This paper cites Reliable Cellular Automata with Self-Organization.

A perturbed cellular automaton with two phase transitions for the ergodicity Reliable Cellular Automata with Self-Organization

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:57.501761Z

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 e4565dfb-433f-44b3-80b2-5ce6fb7d1445 · outbound

This paper cites Stable multi-level monotonic eroders.

A perturbed cellular automaton with two phase transitions for the ergodicity Stable multi-level monotonic eroders

Reference 6

Resolution: verified exact; doi, observed 2026-08-06T20:21:56.870439Z

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 8ff4cee8-5231-4197-94b0-32669e2c0b44 · outbound

This paper cites A reader’s guide to P. G´ acs’s “positive rates.

A perturbed cellular automaton with two phase transitions for the ergodicity A reader’s guide to P. G´ acs’s “positive rates

Reference 7

Resolution: verified exact; doi, observed 2026-08-06T20:21:56.773722Z

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 af76958a-ae17-49ec-82fd-ef1d74361c0b · outbound

This paper cites The positive rates problem for attractive nearest neighbor spin systems on Z.

A perturbed cellular automaton with two phase transitions for the ergodicity The positive rates problem for attractive nearest neighbor spin systems on Z

Reference 8

Resolution: verified exact; doi, observed 2026-08-06T20:21:56.621417Z

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 a87b76d8-3512-4163-a8f1-ab85c1194505 · outbound

This paper cites an unresolved cited work.

A perturbed cellular automaton with two phase transitions for the ergodicity Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T20:21:55.896722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a70a87f-4102-4fad-a26a-abb38bdb1855 · outbound

This paper cites Ergodicity of some classes of cellular au- tomata subject to noise.

A perturbed cellular automaton with two phase transitions for the ergodicity Ergodicity of some classes of cellular au- tomata subject to noise

Reference 10

Resolution: malformed identifier; no resolver link, observed 2026-08-06T20:21:56.053343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56cd95ca-bf4c-47de-b249-b2c0dfad64e3 · outbound

This paper cites Stable and attractive trajectories in multicomponent systems.

A perturbed cellular automaton with two phase transitions for the ergodicity Stable and attractive trajectories in multicomponent systems

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:57.373968Z

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 556b3310-2773-46ad-bba6-f0f507d45c67 · outbound

This paper cites Bernoulli and Markov stationary measures in discrete local interactions.

A perturbed cellular automaton with two phase transitions for the ergodicity Bernoulli and Markov stationary measures in discrete local interactions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:57.219368Z

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 a15eead3-4c5e-4f12-b2d9-3ac685b109c7 · inbound

Squeezing codes: robust fluctuation-stabilized memories cites this paper.

Squeezing codes: robust fluctuation-stabilized memories A perturbed cellular automaton with two phase transitions for the ergodicity

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-04T15:18:48.905079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.