Pith Number

pith:ZOP6QGKE

pith:2026:ZOP6QGKEYQDVP6BPSNNIVEFYKS

not attested not anchored not stored refs pending

Lagrangian single-particle, multi-particle and topological analyses in turbulent Rayleigh-B\'enard convection

J\"org Schumacher, Matti Ettel, Michael Chertkov, Roshan J. Samuel

arxiv:2605.22326 v1 · 2026-05-21 · 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{ZOP6QGKEYQDVP6BPSNNIVEFYKS}

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	2026-05-22T01:04:37.922783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb9fe81944c40757f82f935a8a90b85483816900d2ed8f585abdc0dabedec6cd

Aliases

arxiv: 2605.22326 · arxiv_version: 2605.22326v1 · doi: 10.48550/arxiv.2605.22326 · pith_short_12: ZOP6QGKEYQDV · pith_short_16: ZOP6QGKEYQDVP6BP · pith_short_8: ZOP6QGKE

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/ZOP6QGKEYQDVP6BPSNNIVEFYKS \
  | 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: cb9fe81944c40757f82f935a8a90b85483816900d2ed8f585abdc0dabedec6cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec487d25d98cb0799ebadd1eb341f3ce372ae37d780d82c0a3268cf62604a63c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-21T11:18:10Z",
    "title_canon_sha256": "9c08ea4c644acd31e9a02adf084f5da869f8961a0e4f380938b0447267484997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22326",
    "kind": "arxiv",
    "version": 1
  }
}