Pith Number

pith:DY5QAXJN

pith:2009:DY5QAXJNOSAJSZJSG2VDW7SZYW

not attested not anchored not stored refs pending

A Stochastic Algorithm for Parametric Sensitivity in Smoluchowski's Coagulation Equation

I. Bailleul, M. Kraft, P.L.W. Man

arxiv:0910.4072 v1 · 2009-10-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DY5QAXJNOSAJSZJSG2VDW7SZYW}

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	2026-05-18T01:04:59.606204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e3b005d2d748099653236aa3b7e59c5b636e0fc01a0b1719c3084fd82a20b48

Aliases

arxiv: 0910.4072 · arxiv_version: 0910.4072v1 · doi: 10.48550/arxiv.0910.4072 · pith_short_12: DY5QAXJNOSAJ · pith_short_16: DY5QAXJNOSAJSZJS · pith_short_8: DY5QAXJN

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/DY5QAXJNOSAJSZJSG2VDW7SZYW \
  | 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: 1e3b005d2d748099653236aa3b7e59c5b636e0fc01a0b1719c3084fd82a20b48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "998ddacd93e2d70466047e684448fce95936ac16438e539a4f9bcea304f93413",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-21T12:32:21Z",
    "title_canon_sha256": "42691030d2d04ac8ded2652fb7dbeb5bcff31205425af655845b0170dbf31cbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4072",
    "kind": "arxiv",
    "version": 1
  }
}