Pith Number

pith:MM7UI7HN

pith:2012:MM7UI7HNEUYBJRWMBRVLBEYCNY

not attested not anchored not stored refs pending

Asymptotic behavior of CLS estimators for $2$-type doubly symmetric critical Galton-Watson processes with immigration

Gyula Pap, Krist\'of K\"ormendi, M\'arton Isp\'any

arxiv:1210.8315 v2 · 2012-10-31 · 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{MM7UI7HNEUYBJRWMBRVLBEYCNY}

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	2026-05-18T02:40:02.348398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

633f447ced253014c6cc0c6ab093026e19ab6064c7122dd52597d495ee88843d

Aliases

arxiv: 1210.8315 · arxiv_version: 1210.8315v2 · doi: 10.48550/arxiv.1210.8315 · pith_short_12: MM7UI7HNEUYB · pith_short_16: MM7UI7HNEUYBJRWM · pith_short_8: MM7UI7HN

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/MM7UI7HNEUYBJRWMBRVLBEYCNY \
  | 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: 633f447ced253014c6cc0c6ab093026e19ab6064c7122dd52597d495ee88843d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6df855607b03e586dde9b86f76050da7731ab95324ab8d446c438f01146cdbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-31T12:51:00Z",
    "title_canon_sha256": "b7ae3c662c0c81bad69029c9b19f5ed2ab74d63a8880ae85fa516b8b53a89700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8315",
    "kind": "arxiv",
    "version": 2
  }
}