Pith Number

pith:AIMVG7DA

pith:2026:AIMVG7DAO2F6O7PHMHJPM2SI77

not attested not anchored not stored refs pending

The spatio-temporal statistical structure of the turbulent dissipation field and its stochastic representation as a Gaussian Multiplicative Chaos

Laurent Chevillard, Wandrille Ruffenach

Gaussian Multiplicative Chaos extends to time as a model for the turbulent dissipation field.

arxiv:2604.05736 v2 · 2026-04-07 · physics.flu-dyn

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\usepackage{pith}
\pithnumber{AIMVG7DAO2F6O7PHMHJPM2SI77}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

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

the GMC appears as an appropriate statistically homogeneous model of the turbulent dissipation field... propose a generalization to a spatio-temporal framework

C2weakest assumption

That the temporal evolution of the dissipation field follows the same multiplicative structure and statistical homogeneity as the spatial GMC without requiring additional fitted parameters or breaking the cascade phenomenology.

C3one line summary

Turbulent dissipation is modeled as a spatio-temporal Gaussian Multiplicative Chaos and tested against Navier-Stokes simulations.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Perturbative anomalous exponents from Kolmogorov multipliers

Receipt and verification

First computed	2026-06-30T02:17:20.252711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0219537c60768be77de761d2f66a48ffcc1f30a77420616cccb13ac666787e2c

Aliases

arxiv: 2604.05736 · arxiv_version: 2604.05736v2 · doi: 10.48550/arxiv.2604.05736 · pith_short_12: AIMVG7DAO2F6 · pith_short_16: AIMVG7DAO2F6O7PH · pith_short_8: AIMVG7DA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AIMVG7DAO2F6O7PHMHJPM2SI77 \
  | 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: 0219537c60768be77de761d2f66a48ffcc1f30a77420616cccb13ac666787e2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43b3f2383471a649c9260d19062617eada3050d8f3dde377866b21150a2d113",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-04-07T11:38:04Z",
    "title_canon_sha256": "cdf5c3e0f5b889bd93dd13dc8a70a9c0880a3fa4a37db54054fc39906ddc9132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.05736",
    "kind": "arxiv",
    "version": 2
  }
}