Pith Number

pith:XPDJTQUA

pith:2012:XPDJTQUAEGWHWQXCWSJ3UJQBHN

not attested not anchored not stored refs pending

The Lagrangian dynamics of thermal tracer particles in Navier-Stokes fluids

Alessandro Soranzo, Claudio Asci, Claudio Cremaschini, Gino Tironi, Marco Tessarotto, Massimo Tessarotto

arxiv:1203.3902 v1 · 2012-03-17 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPDJTQUAEGWHWQXCWSJ3UJQBHN}

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	2026-05-18T03:59:48.688375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc699c28021ac7b42e2b493ba26013b4bc0f244a5f285e45ac62daff815d873

Aliases

arxiv: 1203.3902 · arxiv_version: 1203.3902v1 · doi: 10.48550/arxiv.1203.3902 · pith_short_12: XPDJTQUAEGWH · pith_short_16: XPDJTQUAEGWHWQXC · pith_short_8: XPDJTQUA

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/XPDJTQUAEGWHWQXCWSJ3UJQBHN \
  | 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: bbc699c28021ac7b42e2b493ba26013b4bc0f244a5f285e45ac62daff815d873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5059782cabeec438fe3fc4dc774266980ad3f9045c2ef38d244624748c5786af",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-17T22:27:38Z",
    "title_canon_sha256": "07fc882f29b7b80ecbb051739363b56d618c146411f9fd30ea3e4fc62f270b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3902",
    "kind": "arxiv",
    "version": 1
  }
}