Pith Number

pith:CMPDXABD

pith:2013:CMPDXABDZZ7XOCGBK5B6PAXQSQ

not attested not anchored not stored refs pending

Scaling limits of spatial compartment models for chemical reaction networks

Lea Popovic, Peter Pfaffelhuber

arxiv:1302.0774 v2 · 2013-02-04 · 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{CMPDXABDZZ7XOCGBK5B6PAXQSQ}

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	2026-05-18T01:29:22.117988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

131e3b8023ce7f7708c15743e782f0942e1deb3406651a21e6b9faa8cb75c89b

Aliases

arxiv: 1302.0774 · arxiv_version: 1302.0774v2 · doi: 10.48550/arxiv.1302.0774 · pith_short_12: CMPDXABDZZ7X · pith_short_16: CMPDXABDZZ7XOCGB · pith_short_8: CMPDXABD

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/CMPDXABDZZ7XOCGBK5B6PAXQSQ \
  | 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: 131e3b8023ce7f7708c15743e782f0942e1deb3406651a21e6b9faa8cb75c89b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa4c5983b9b611d6cf262901e78bd23b6ea5adb4bb1ee696272f4ee842f05ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-04T17:50:37Z",
    "title_canon_sha256": "61214e09b8517afe5838de8bc1fb29b52852a13842c32280b7cc7559cef3ddc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0774",
    "kind": "arxiv",
    "version": 2
  }
}