Pith Number

pith:UMFQ526J

pith:2012:UMFQ526JAVOVTDA4DYYADGODCH

not attested not anchored not stored refs pending

Simulations and a conditional limit theorem for intermediately subcritical branching processes in random environment

Christian B\"oinghoff, G\"otz Kersting

arxiv:1209.1274 v1 · 2012-09-06 · 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{UMFQ526JAVOVTDA4DYYADGODCH}

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	2026-05-18T03:46:06.046124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a30b0eebc9055d598c1c1e300199c311c2a20900a7e62b50eefd30b3449b6202

Aliases

arxiv: 1209.1274 · arxiv_version: 1209.1274v1 · doi: 10.48550/arxiv.1209.1274 · pith_short_12: UMFQ526JAVOV · pith_short_16: UMFQ526JAVOVTDA4 · pith_short_8: UMFQ526J

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/UMFQ526JAVOVTDA4DYYADGODCH \
  | 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: a30b0eebc9055d598c1c1e300199c311c2a20900a7e62b50eefd30b3449b6202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "933e11bd3fb7dc1b976af9d4f0c135bcb326bc580d56a176e3c0416d4c1b2def",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-06T13:34:51Z",
    "title_canon_sha256": "f4ce052f7d5324bb010d46247553c277d481b6d720d1f7277ffa0cc481c3c275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1274",
    "kind": "arxiv",
    "version": 1
  }
}