Pith Number

pith:DH3Q6QMJ

pith:2011:DH3Q6QMJ2ZBRBMWGQBIWIEUGDF

not attested not anchored not stored refs pending

Approximation of the Fokker-Planck equation of the stochastic chemostat

Fabien Campillo (INRIA Sophia Antipolis, Ir\`ene Larramendy-Valverde (I3M), Marc Joannides (I3M), MISTEA)

arxiv:1111.5716 v1 · 2011-11-24 · 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{DH3Q6QMJ2ZBRBMWGQBIWIEUGDF}

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	2026-05-18T04:07:42.510572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f70f4189d64310b2c680516412861943e8646dcaaa189b285078da9c5013eb

Aliases

arxiv: 1111.5716 · arxiv_version: 1111.5716v1 · doi: 10.48550/arxiv.1111.5716 · pith_short_12: DH3Q6QMJ2ZBR · pith_short_16: DH3Q6QMJ2ZBRBMWG · pith_short_8: DH3Q6QMJ

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/DH3Q6QMJ2ZBRBMWGQBIWIEUGDF \
  | 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: 19f70f4189d64310b2c680516412861943e8646dcaaa189b285078da9c5013eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ff018fdda0537713651d9863bb9e574e02d1def16872aa67685b3c1a25b4e02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-24T10:59:51Z",
    "title_canon_sha256": "a4b00f680820a03eac0629c427f3c3362fbbbb7664f087301b1c7074de062e3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5716",
    "kind": "arxiv",
    "version": 1
  }
}