Pith Number

pith:UABOIUD3

pith:2007:UABOIUD3CZWETGTAK4A6NL75YE

not attested not anchored not stored refs pending

Biased random walks on a Galton-Watson tree with leaves

Alan Hammond, Alexander Fribergh (CIMS), G\'erard Ben Arous (CIMS), Nina Gantert

arxiv:0711.3686 v4 · 2007-11-23 · 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{UABOIUD3CZWETGTAK4A6NL75YE}

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	2026-05-18T04:35:47.969924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a002e4507b166c499a605701e6affdc11b417c2ac434dc3d0af55627dd25a974

Aliases

arxiv: 0711.3686 · arxiv_version: 0711.3686v4 · doi: 10.48550/arxiv.0711.3686 · pith_short_12: UABOIUD3CZWE · pith_short_16: UABOIUD3CZWETGTA · pith_short_8: UABOIUD3

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/UABOIUD3CZWETGTAK4A6NL75YE \
  | 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: a002e4507b166c499a605701e6affdc11b417c2ac434dc3d0af55627dd25a974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "064b8be77e2b236a02cb6ae2d9bb4fe79d08d007d1a82a457fad23db57a3ac8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-11-23T09:37:11Z",
    "title_canon_sha256": "5eea675b20793c83f1a9cb545a6799d8835f3c650c610af3f0f8ede95d920cf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.3686",
    "kind": "arxiv",
    "version": 4
  }
}