Pith Number

pith:FSMGV4M3

pith:2010:FSMGV4M3WGDOKMLNZKIEVW2AHW

not attested not anchored not stored refs pending

Vorticity statistics in the direct cascade of two-dimensional turbulence

Gregory Falkovich, Mikhail Stepanov, Vladimir Lebedev

arxiv:1011.3647 v1 · 2010-11-16 · 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{FSMGV4M3WGDOKMLNZKIEVW2AHW}

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	2026-05-18T02:04:45.329762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c986af19bb186e5316dca904adb403d8d51a382e8dbb18ce61eec8fac3a9086

Aliases

arxiv: 1011.3647 · arxiv_version: 1011.3647v1 · doi: 10.48550/arxiv.1011.3647 · pith_short_12: FSMGV4M3WGDO · pith_short_16: FSMGV4M3WGDOKMLN · pith_short_8: FSMGV4M3

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/FSMGV4M3WGDOKMLNZKIEVW2AHW \
  | 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: 2c986af19bb186e5316dca904adb403d8d51a382e8dbb18ce61eec8fac3a9086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6ae98da1d316d1395cf9c00c83996e5719be534ba9a3cfe751d922cda7cc308",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-11-16T10:58:03Z",
    "title_canon_sha256": "d697f764d2440f138db9ea720f8211a498be5a4ab11a714440f93b86da938839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3647",
    "kind": "arxiv",
    "version": 1
  }
}