Pith Number

pith:DBAJQTH4

pith:2013:DBAJQTH4T5BR4AVXRXE4B5LVSO

not attested not anchored not stored refs pending

On the survival of a class of subcritical branching processes in random environment

Vincent Bansaye (CMAP), Vladimir Vatutin

arxiv:1307.3963 v2 · 2013-07-15 · 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{DBAJQTH4T5BR4AVXRXE4B5LVSO}

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	2026-05-18T03:04:15.290141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1840984cfc9f431e02b78dc9c0f57593a095b904fcb5575f375e57f151fa0a2a

Aliases

arxiv: 1307.3963 · arxiv_version: 1307.3963v2 · doi: 10.48550/arxiv.1307.3963 · pith_short_12: DBAJQTH4T5BR · pith_short_16: DBAJQTH4T5BR4AVX · pith_short_8: DBAJQTH4

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/DBAJQTH4T5BR4AVXRXE4B5LVSO \
  | 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: 1840984cfc9f431e02b78dc9c0f57593a095b904fcb5575f375e57f151fa0a2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8471f9ed1dd33b26e84c5e8781aa013a13f2115e0b9dcabd3cebde0cf07650e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-15T14:31:24Z",
    "title_canon_sha256": "23b82e5f4a6c6a7a4034eb2a5b434654df42b0acc24bb1e4d97fd96561d55b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3963",
    "kind": "arxiv",
    "version": 2
  }
}