Pith Number

pith:UNTQS3NN

pith:2015:UNTQS3NNWTY6TEMKIRU55EQFVH

not attested not anchored not stored refs pending

Product-form Poisson-like distributions and complex balanced reaction systems

Carsten Wiuf, Daniele Cappelletti

arxiv:1507.02195 v3 · 2015-07-08 · math.PR · math.DS · q-bio.MN · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UNTQS3NNWTY6TEMKIRU55EQFVH}

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	2026-05-18T00:15:38.274805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a367096dadb4f1e9918a4469de9205a9ffd6427221d98086bda14066753e4cdf

Aliases

arxiv: 1507.02195 · arxiv_version: 1507.02195v3 · doi: 10.48550/arxiv.1507.02195 · pith_short_12: UNTQS3NNWTY6 · pith_short_16: UNTQS3NNWTY6TEMK · pith_short_8: UNTQS3NN

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/UNTQS3NNWTY6TEMKIRU55EQFVH \
  | 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: a367096dadb4f1e9918a4469de9205a9ffd6427221d98086bda14066753e4cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb000439ea81efffbb51d71285a1b812b924858ad150a7787ca326b53291490b",
    "cross_cats_sorted": [
      "math.DS",
      "q-bio.MN",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-08T15:21:23Z",
    "title_canon_sha256": "d563525751a62a0ac377d70f67087f97721b949e6b6f5c49159821afe5f0c4fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02195",
    "kind": "arxiv",
    "version": 3
  }
}