Pith Number

pith:C27QB7E2

pith:2014:C27QB7E2XH7UOF6JHUAQNIIGLG

not attested not anchored not stored refs pending

The maximal jump and local convergence of continuous-state branching processes

Xin He, Zenghu Li

arxiv:1412.4615 v1 · 2014-12-15 · 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{C27QB7E2XH7UOF6JHUAQNIIGLG}

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	2026-05-18T02:31:18.698420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16bf00fc9ab9ff4717c93d0106a10659b43da92657717f19b7f5210884826b10

Aliases

arxiv: 1412.4615 · arxiv_version: 1412.4615v1 · doi: 10.48550/arxiv.1412.4615 · pith_short_12: C27QB7E2XH7U · pith_short_16: C27QB7E2XH7UOF6J · pith_short_8: C27QB7E2

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/C27QB7E2XH7UOF6JHUAQNIIGLG \
  | 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: 16bf00fc9ab9ff4717c93d0106a10659b43da92657717f19b7f5210884826b10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4636851db541da29c6f86cf041eb20358da679c848c83e6a207a2596bbbe4c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-15T14:34:25Z",
    "title_canon_sha256": "c3cb539c01d46b0b552d11e89b75a66735490e78cadd7a4a75950a358d4cc65b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4615",
    "kind": "arxiv",
    "version": 1
  }
}