Pith Number

pith:4OVBWNTJ

pith:2026:4OVBWNTJGYHGLJOZ6MI2CF4JY7

not attested not anchored not stored refs pending

Heterogeneous Cattaneo-Vernotte equation connection to the noisy voter model

1T. K. Pog\'any, A. Horzela, D. Jankov Ma\v{s}irevi\'c, K. G\'orska, T. Pietrzak, T. Sandev

A position-dependent diffusion coefficient in the Cattaneo-Vernotte equation yields exact solutions that demonstrate ergodicity breaking.

arxiv:2602.14727 v1 · 2026-02-16 · math-ph · math.MP

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\pithnumber{4OVBWNTJGYHGLJOZ6MI2CF4JY7}

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Record completeness

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4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Exact results for the probability density function and the mean squared displacement are provided. The limiting case of heterogeneous diffusion is analyzed in detail, and the corresponding time-averaged mean-squared displacement is calculated. From the obtained results, an ergodicity breaking is observed.

C2weakest assumption

The heterogeneity introduced by a position-dependent diffusion coefficient can be consistently derived from multiple stochastic interpretations of the diffusion process that all lead to the same constitutive relation in the Cattaneo-Vernotte generalization.

C3one line summary

A position-dependent diffusion coefficient is used to generalize the Cattaneo-Vernotte equation, producing exact PDF and MSD solutions that exhibit ergodicity breaking.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:44:31.151327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3aa1b3669360e65a5d9f311a11789c7eeb0a5e37c74ca7fdcf6f54ad1eab8ac

Aliases

arxiv: 2602.14727 · arxiv_version: 2602.14727v1 · doi: 10.48550/arxiv.2602.14727 · pith_short_12: 4OVBWNTJGYHG · pith_short_16: 4OVBWNTJGYHGLJOZ · pith_short_8: 4OVBWNTJ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4OVBWNTJGYHGLJOZ6MI2CF4JY7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e3aa1b3669360e65a5d9f311a11789c7eeb0a5e37c74ca7fdcf6f54ad1eab8ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e721617de93ea03307e1b4032f79db9446105ae0f6e3dad2888f83e3e1f21cc1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-02-16T13:19:22Z",
    "title_canon_sha256": "41cfe2b3ba712e4f30df9f5c2b2a2e6c0bfcb1a377f1b0bd2b3f66da5ab96841"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.14727",
    "kind": "arxiv",
    "version": 1
  }
}