Pith Number

pith:ZSJMXXQV

pith:2006:ZSJMXXQVG53K7LWLVH5NWP5WLM

not attested not anchored not stored refs pending

Statistical Properties of Nonlinear Shell Models of Turbulence from Linear Advection Models: Rigorous Results

Boris Levant, Edriss S. Titi, Itamar Procaccia, Roberto Benzi

arxiv:nlin/0612033 v1 · 2006-12-13 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSJMXXQVG53K7LWLVH5NWP5WLM}

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.

Receipt and verification

First computed	2026-07-04T17:02:15.759895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc92cbde153776afaecba9fadb3fb65b045412da8326b4ba44d169854943287d

Aliases

arxiv: nlin/0612033 · arxiv_version: nlin/0612033v1 · doi: 10.48550/arxiv.nlin/0612033 · pith_short_12: ZSJMXXQVG53K · pith_short_16: ZSJMXXQVG53K7LWL · pith_short_8: ZSJMXXQV

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/ZSJMXXQVG53K7LWLVH5NWP5WLM \
  | 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: cc92cbde153776afaecba9fadb3fb65b045412da8326b4ba44d169854943287d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faa9e2cc1ea891cda46453a0bf29d37c142ad9b32052000157fd8593779b53f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2006-12-13T14:04:39Z",
    "title_canon_sha256": "2f784dde03a95d2ba06c0a2738962eedeebc9b4e46900e0b41569f2258e05f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0612033",
    "kind": "arxiv",
    "version": 1
  }
}