Pith Number

pith:I4BKTDBW

pith:2007:I4BKTDBW5NGRTNXSMEEIBSHAPQ

not attested not anchored not stored refs pending

Numerical simulation of spray coalescence in an eulerian framework : direct quadrature method of moments and multi-fluid method

Fr\'ed\'erique Laurent (EM2C), Marc Massot (EM2C), Rodney O. Fox

arxiv:0706.3781 v1 · 2007-06-26 · math.NA · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4BKTDBW5NGRTNXSMEEIBSHAPQ}

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	2026-05-18T04:36:09.156540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4702a98c36eb4d19b6f2610880c8e07c0ebb63d5cb44858c7302d00f139d979a

Aliases

arxiv: 0706.3781 · arxiv_version: 0706.3781v1 · doi: 10.48550/arxiv.0706.3781 · pith_short_12: I4BKTDBW5NGR · pith_short_16: I4BKTDBW5NGRTNXS · pith_short_8: I4BKTDBW

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/I4BKTDBW5NGRTNXSMEEIBSHAPQ \
  | 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: 4702a98c36eb4d19b6f2610880c8e07c0ebb63d5cb44858c7302d00f139d979a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0130d8ce23b8d1406e3b1dbc4947e4834f12ac347776a6f254aaf09240e15115",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2007-06-26T09:07:44Z",
    "title_canon_sha256": "d24be1fb4979b1a8c75961f55eeff5d204ea717ebf6be87e9852aa7911a19841"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3781",
    "kind": "arxiv",
    "version": 1
  }
}