Pith Number

pith:GQKB2LCU

pith:2011:GQKB2LCUGJY6RYJ4PXKKJU2XWW

not attested not anchored not stored refs pending

Nonlinear superposition of direct and inverse cascades in two-dimensional turbulence forced at large and small scales

Angelo Vulpiani, Massimo Cencini, Paolo Muratore-Ginanneschi

arxiv:1107.2338 v2 · 2011-07-12 · physics.flu-dyn · physics.ao-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{GQKB2LCUGJY6RYJ4PXKKJU2XWW}

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	2026-05-18T04:10:12.085347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34141d2c543271e8e13c7dd4a4d357b5a17cd085e77c45593cc5d777c787ebd3

Aliases

arxiv: 1107.2338 · arxiv_version: 1107.2338v2 · doi: 10.48550/arxiv.1107.2338 · pith_short_12: GQKB2LCUGJY6 · pith_short_16: GQKB2LCUGJY6RYJ4 · pith_short_8: GQKB2LCU

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/GQKB2LCUGJY6RYJ4PXKKJU2XWW \
  | 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: 34141d2c543271e8e13c7dd4a4d357b5a17cd085e77c45593cc5d777c787ebd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6151ba4f32cb60d735a7d63a98a15c9128bbbc51e2f4b0d5c338c8d800b9c2be",
    "cross_cats_sorted": [
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-07-12T16:22:51Z",
    "title_canon_sha256": "919ffeff0d3908cdf05331015ef000f7d1a2946e32e3d081f9e8f6aabb10a556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2338",
    "kind": "arxiv",
    "version": 2
  }
}