Pith Number

pith:FIIU345J

pith:2012:FIIU345JJDLMKKH3T5AM4W5WUK

not attested not anchored not stored refs pending

Continuous-state branching processes

Zenghu Li

arxiv:1202.3223 v1 · 2012-02-15 · 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{FIIU345JJDLMKKH3T5AM4W5WUK}

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	2026-05-18T04:02:14.363475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a114df3a948d6c528fb9f40ce5bb6a29203a22c5b9c7450a694b2461b1754ae

Aliases

arxiv: 1202.3223 · arxiv_version: 1202.3223v1 · doi: 10.48550/arxiv.1202.3223 · pith_short_12: FIIU345JJDLM · pith_short_16: FIIU345JJDLMKKH3 · pith_short_8: FIIU345J

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/FIIU345JJDLMKKH3T5AM4W5WUK \
  | 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: 2a114df3a948d6c528fb9f40ce5bb6a29203a22c5b9c7450a694b2461b1754ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a713d2a80ff5cf4ece7129c85d81481dba2dc0028dccbff0f4d78879d8a21d41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-15T07:35:46Z",
    "title_canon_sha256": "120c6b97a32a837e43696bda6389122a7a72c4416bab78970bde753f30954156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3223",
    "kind": "arxiv",
    "version": 1
  }
}