Pith Number

pith:EEELC23O

pith:2026:EEELC23OHLQPGMAFRERQ2IIEMP

not attested not anchored not stored refs pending

Quantitative Evaluation of Forward and Backward Scattering in Isotropic Turbulence via H\"anggi--Klimontovich and It\^o Stochastic Processes

Nicola de Divitiis

A drift-free Hänggi-Klimontovich process models the stretch-and-fold mechanism to justify uniform Lagrangian Lyapunov exponents and close the von Karman-Howarth and Corrsin equations without diffusion.

arxiv:2604.23092 v2 · 2026-04-25 · physics.flu-dyn · physics.class-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EEELC23OHLQPGMAFRERQ2IIEMP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

This stochastic formulation, framed within the author's Lyapunov-Liouville analysis, provides a non-diffusive analytical closure of the von Karman-Howarth and Corrsin equations.

C2weakest assumption

The stretch-and-fold mechanism of isotropic turbulence can be represented by a drift-free Hänggi-Klimontovich process whose mapping to an Itô process yields a uniform Lyapunov-exponent distribution without additional fitted drift or diffusion terms.

C3one line summary

A drift-free stochastic process for the stretch-and-fold mechanism in isotropic turbulence produces a uniform PDF of Lagrangian Lyapunov exponents that closes the von Kármán-Howarth and Corrsin equations and yields eddy viscosity, thermal diffusivity, and Prandtl number matching numerical data.

Receipt and verification

First computed	2026-05-26T02:04:11.339566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2108b16b6e3ae0f3300589230d210463fddcb736a58158b9c07a05b3ca55157f

Aliases

arxiv: 2604.23092 · arxiv_version: 2604.23092v2 · doi: 10.48550/arxiv.2604.23092 · pith_short_12: EEELC23OHLQP · pith_short_16: EEELC23OHLQPGMAF · pith_short_8: EEELC23O

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/EEELC23OHLQPGMAFRERQ2IIEMP \
  | 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: 2108b16b6e3ae0f3300589230d210463fddcb736a58158b9c07a05b3ca55157f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87e77a86e92bb17b45e108520495a36ca7d6226cdaa9e920a7905fb4c61606e9",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-04-25T01:14:17Z",
    "title_canon_sha256": "c3026a069204b3e6de8aec8121884492984696dcf44bab94f7e980a895cbc9b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.23092",
    "kind": "arxiv",
    "version": 2
  }
}