Pith Number

pith:4XWWDGO4

pith:2016:4XWWDGO4ZVRECOTARDXZZ36OCE

not attested not anchored not stored refs pending

Multivariate Gaussian extended quadrature method of moments for turbulent disperse multiphase flow

Aymeric Vi\'e (EM2C, Christophe Chalons (LM-Versailles), FR3487), Fr\'ed\'erique Laurent (EM2C, Marc Massot (EM2C

arxiv:1609.00139 v1 · 2016-09-01 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XWWDGO4ZVRECOTARDXZZ36OCE}

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	2026-05-18T00:06:26.779562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ed6199dccd62413a6088ef9cefce11213e4df76a7c936d608e27fa94ac6698

Aliases

arxiv: 1609.00139 · arxiv_version: 1609.00139v1 · doi: 10.48550/arxiv.1609.00139 · pith_short_12: 4XWWDGO4ZVRE · pith_short_16: 4XWWDGO4ZVRECOTA · pith_short_8: 4XWWDGO4

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/4XWWDGO4ZVRECOTARDXZZ36OCE \
  | 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: e5ed6199dccd62413a6088ef9cefce11213e4df76a7c936d608e27fa94ac6698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dcb00f62b6b5b0d1dd2b347702c035b7b5ddf99195f4e5f5b9f4f5597dd7dd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-01T08:00:47Z",
    "title_canon_sha256": "906edd7056e246b76aa4336cbb042c82eb27a0dbe9fc8e7d00fab17e69226c0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00139",
    "kind": "arxiv",
    "version": 1
  }
}