Pith Number

pith:DNGS5QKT

pith:2009:DNGS5QKTPJMGWTSUQU6RARTJ4Q

not attested not anchored not stored refs pending

Stochastic modelling of reaction-diffusion processes: algorithms for bimolecular reactions

Radek Erban, S Jonathan Chapman

arxiv:0903.1298 v1 · 2009-03-06 · physics.bio-ph · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNGS5QKTPJMGWTSUQU6RARTJ4Q}

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.

Cited by

1 paper in Pith

Solving linear-rate ODE hierarchies (like master equations) using closures and operator splitting

Receipt and verification

First computed	2026-05-18T02:14:36.725726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b4d2ec1537a586b4e54853d104669e413255fa17e148fb53a0f5f939f707749

Aliases

arxiv: 0903.1298 · arxiv_version: 0903.1298v1 · doi: 10.48550/arxiv.0903.1298 · pith_short_12: DNGS5QKTPJMG · pith_short_16: DNGS5QKTPJMGWTSU · pith_short_8: DNGS5QKT

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/DNGS5QKTPJMGWTSUQU6RARTJ4Q \
  | 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: 1b4d2ec1537a586b4e54853d104669e413255fa17e148fb53a0f5f939f707749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f66c3102526549ad0dac235f301682dfbd352cf4eb4448ec718f71f201344cb7",
    "cross_cats_sorted": [
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2009-03-06T21:29:18Z",
    "title_canon_sha256": "0808779a532284f7804489cb28c50cd9c46228a658c8a8dbb7f9a21f368893a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1298",
    "kind": "arxiv",
    "version": 1
  }
}