Pith Number

pith:5WZISJMP

pith:2010:5WZISJMPH5FDYHDJOX2D55LL7G

not attested not anchored not stored refs pending

Ergodic properties of a model for turbulent dispersion of inertial particles

David P. Herzog, Jan Wehr, Krzysztof Gawedzki

arxiv:1009.0782 v1 · 2010-09-03 · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WZISJMPH5FDYHDJOX2D55LL7G}

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

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	2026-05-18T02:47:41.596176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edb289258f3f4a3c1c6975f43ef56bf98104b307e3b787fe13849bf542267699

Aliases

arxiv: 1009.0782 · arxiv_version: 1009.0782v1 · doi: 10.48550/arxiv.1009.0782 · pith_short_12: 5WZISJMPH5FD · pith_short_16: 5WZISJMPH5FDYHDJ · pith_short_8: 5WZISJMP

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/5WZISJMPH5FDYHDJOX2D55LL7G \
  | 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: edb289258f3f4a3c1c6975f43ef56bf98104b307e3b787fe13849bf542267699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "597de51a59060081b6b7d397d1e2d98464ecfdad579a4e23a81a9576d1c4c280",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-03T22:47:59Z",
    "title_canon_sha256": "8cc88568f531eb0c220c5b8479944fbdc676f76172c2ca2cc38b206338f7ae15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0782",
    "kind": "arxiv",
    "version": 1
  }
}