Pith Number

pith:FZBP4RXI

pith:2019:FZBP4RXIOJNY5W5RVEMAR4NMWE

not attested not anchored not stored refs pending

Approximate Numerical Integration of the Chemical Master Equation for Stochastic Reaction Networks

Linar Mikeev, Werner Sandmann

arxiv:1907.10245 v1 · 2019-07-24 · q-bio.MN · cs.NA · math.NA · q-bio.BM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZBP4RXIOJNY5W5RVEMAR4NMWE}

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	2026-05-17T23:39:38.496587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e42fe46e8725b8edbb1a91808f1acb101f4847b9494432606d5bfdf1a931772

Aliases

arxiv: 1907.10245 · arxiv_version: 1907.10245v1 · doi: 10.48550/arxiv.1907.10245 · pith_short_12: FZBP4RXIOJNY · pith_short_16: FZBP4RXIOJNY5W5R · pith_short_8: FZBP4RXI

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/FZBP4RXIOJNY5W5RVEMAR4NMWE \
  | 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: 2e42fe46e8725b8edbb1a91808f1acb101f4847b9494432606d5bfdf1a931772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9a6928624dab58189ce28287fa979364b43253b5d1d1787556f1b56e35f603b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "q-bio.BM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2019-07-24T05:44:25Z",
    "title_canon_sha256": "639c4a177cc2ddc6977f76f4a9c3dfb5ef894b95dfe7da340bcfdb3e120c6422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10245",
    "kind": "arxiv",
    "version": 1
  }
}