Pith Number

pith:ZL6C4AL3

pith:2018:ZL6C4AL3WOIRRQEUEUOMQHPWUO

not attested not anchored not stored refs pending

Reduced critical Bellman-Harris branching processes for small populations

Vladimir Vatutin, Wenming Hong, Yao Ji

arxiv:1809.05029 v2 · 2018-09-13 · 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{ZL6C4AL3WOIRRQEUEUOMQHPWUO}

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	2026-05-18T00:05:44.729352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cafc2e017bb39118c094251cc81df6a39491abb9ece3f6c9790f4c8e23be7788

Aliases

arxiv: 1809.05029 · arxiv_version: 1809.05029v2 · doi: 10.48550/arxiv.1809.05029 · pith_short_12: ZL6C4AL3WOIR · pith_short_16: ZL6C4AL3WOIRRQEU · pith_short_8: ZL6C4AL3

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/ZL6C4AL3WOIRRQEUEUOMQHPWUO \
  | 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: cafc2e017bb39118c094251cc81df6a39491abb9ece3f6c9790f4c8e23be7788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7ca71244a2193a0b92e19285e71828a9f270aa2e47c44f35b13969bcff5cb7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-13T16:03:44Z",
    "title_canon_sha256": "87fc8d62e2592e97b0565b7a29c629a65997ffbeb1f2ccfb7c2de8ddf6186d55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05029",
    "kind": "arxiv",
    "version": 2
  }
}