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Pith Number

pith:5MLBAUXQ

pith:2013:5MLBAUXQ6BMLNUYRGG5LLBYHOJ
not attested not anchored not stored refs pending

Multiple collisions in turbulent flows

Alain Pumir, Emmanuel L\'ev\^eque, Michael Wilkinson, Michel Vo{\ss}kuhle

arxiv:1310.1521 v1 · 2013-10-05 · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5MLBAUXQ6BMLNUYRGG5LLBYHOJ}

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 2026-05-18T01:17:44.372540Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eb161052f0f058b6d31131bab587077244d61cedef469ddb010806c628240646

Aliases

arxiv: 1310.1521 · arxiv_version: 1310.1521v1 · doi: 10.48550/arxiv.1310.1521 · pith_short_12: 5MLBAUXQ6BML · pith_short_16: 5MLBAUXQ6BMLNUYR · pith_short_8: 5MLBAUXQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5MLBAUXQ6BMLNUYRGG5LLBYHOJ \
  | 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: eb161052f0f058b6d31131bab587077244d61cedef469ddb010806c628240646
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "368d4040af7c35c4c954b7fcfa835ffeaaee4ba9c6d72466b747bceae5f1091c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2013-10-05T22:47:14Z",
    "title_canon_sha256": "8ea8fa786b97fbf42aa2b6ea52a385861180ed4b81314d9b92a2ebc4cf018576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1521",
    "kind": "arxiv",
    "version": 1
  }
}