Pith Number

pith:TCBHDO3D

pith:2012:TCBHDO3DANZYHXARVEBKBPE7PR

not attested not anchored not stored refs pending

Extinction probabilities of branching processes with countably infinitely many types

Giang Nguyen, Guy Latouche, Sophie Hautphenne

arxiv:1211.4129 v1 · 2012-11-17 · 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{TCBHDO3DANZYHXARVEBKBPE7PR}

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	2026-05-18T02:57:06.867885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

988271bb63037383dc11a902a0bc9f7c60b54e5d5627555047cbbf9371f6943a

Aliases

arxiv: 1211.4129 · arxiv_version: 1211.4129v1 · doi: 10.48550/arxiv.1211.4129 · pith_short_12: TCBHDO3DANZY · pith_short_16: TCBHDO3DANZYHXAR · pith_short_8: TCBHDO3D

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/TCBHDO3DANZYHXARVEBKBPE7PR \
  | 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: 988271bb63037383dc11a902a0bc9f7c60b54e5d5627555047cbbf9371f6943a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eefaf52cc1b3bb92577fc91bf1e996ba42b40070689e1df4f844cf0873a39fbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-17T14:58:41Z",
    "title_canon_sha256": "e39ad5fb3951688f20c008801233a051f988852e01557e95a750e47f28640f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4129",
    "kind": "arxiv",
    "version": 1
  }
}