Pith Number

pith:ISXG6HXR

pith:2011:ISXG6HXRIUV7JJOTF5ZUMGEKKV

not attested not anchored not stored refs pending

Three-dimensional Lagrangian Voronoi analysis for clustering of particles and bubbles in turbulence

Chao Sun, Detlef Lohse, Enrico Calzavarini, Julian Martinez Mercado, Vivek N. Prakash, Yoshiyuki Tagawa

arxiv:1104.2417 v3 · 2011-04-13 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISXG6HXRIUV7JJOTF5ZUMGEKKV}

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	2026-05-18T04:02:00.882759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ae6f1ef1452bf4a5d32f7346188a5565b11fa7adf47bea84adb363f12e9aeb

Aliases

arxiv: 1104.2417 · arxiv_version: 1104.2417v3 · doi: 10.48550/arxiv.1104.2417 · pith_short_12: ISXG6HXRIUV7 · pith_short_16: ISXG6HXRIUV7JJOT · pith_short_8: ISXG6HXR

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/ISXG6HXRIUV7JJOTF5ZUMGEKKV \
  | 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: 44ae6f1ef1452bf4a5d32f7346188a5565b11fa7adf47bea84adb363f12e9aeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d18324405d5e702fd5a6e1ec717678157ac2472fac55b729d93b623cdde952",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-04-13T08:45:33Z",
    "title_canon_sha256": "f47349f409ce29c4d718228b493ee4144bcaaada9743221575502810960001b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2417",
    "kind": "arxiv",
    "version": 3
  }
}