Pith Number

pith:RZXKMB24

pith:2013:RZXKMB24R2W7AC7TW55K6BZUFH

not attested not anchored not stored refs pending

Conditional limit theorems for critical continuous-state branching processes

Guo-Huan Zhao, Ting Yang, Yan-Xia Ren

arxiv:1309.7761 v1 · 2013-09-30 · 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{RZXKMB24R2W7AC7TW55K6BZUFH}

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	2026-05-18T01:47:24.610850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e6ea6075c8eadf00bf3b77aaf073429f57021bebd49614d110a5b256e3681e5

Aliases

arxiv: 1309.7761 · arxiv_version: 1309.7761v1 · doi: 10.48550/arxiv.1309.7761 · pith_short_12: RZXKMB24R2W7 · pith_short_16: RZXKMB24R2W7AC7T · pith_short_8: RZXKMB24

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/RZXKMB24R2W7AC7TW55K6BZUFH \
  | 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: 8e6ea6075c8eadf00bf3b77aaf073429f57021bebd49614d110a5b256e3681e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f856633752a4b6f202d7613ff3e190c6aadb3252c931b5c5bc40fea381fd4002",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-30T09:01:46Z",
    "title_canon_sha256": "3f6cd24b83de778dffdeadefd64bfac31a3bea1866810275ebefaa7f24ceec99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7761",
    "kind": "arxiv",
    "version": 1
  }
}