Pith Number

pith:OTB4KJSL

pith:2017:OTB4KJSLDKDBONLVZCS3OJ4TM6

not attested not anchored not stored refs pending

The survival probability of critical and subcritical branching processes in finite state space Markovian environment

Emile Le Page, Ion Grama, Ronan Lauvergnat

arxiv:1708.00233 v1 · 2017-08-01 · 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{OTB4KJSLDKDBONLVZCS3OJ4TM6}

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	2026-05-18T00:39:05.736843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74c3c5264b1a86173575c8a5b7279367b632a6dbdb8fb2cf254c36dc743d0b09

Aliases

arxiv: 1708.00233 · arxiv_version: 1708.00233v1 · doi: 10.48550/arxiv.1708.00233 · pith_short_12: OTB4KJSLDKDB · pith_short_16: OTB4KJSLDKDBONLV · pith_short_8: OTB4KJSL

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/OTB4KJSLDKDBONLVZCS3OJ4TM6 \
  | 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: 74c3c5264b1a86173575c8a5b7279367b632a6dbdb8fb2cf254c36dc743d0b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5622723e7fae3bdb5c4bd16010873634439bed48a073fede8257799959e76fb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-01T10:24:34Z",
    "title_canon_sha256": "ad7fba381985b516458f3f91be57c7b59a2fd980e8bc41b0bc7e62bd4fa910c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00233",
    "kind": "arxiv",
    "version": 1
  }
}