Pith Number

pith:ZUJXFNAZ

pith:2011:ZUJXFNAZWPZ5SH77TJWS45DWTW

not attested not anchored not stored refs pending

Convergence in law of the minimum of a branching random walk

Elie A\"id\'ekon

arxiv:1101.1810 v6 · 2011-01-10 · 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{ZUJXFNAZWPZ5SH77TJWS45DWTW}

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	2026-05-18T03:07:55.159073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd1372b419b3f3d91fff9a6d2e74769d969c13e7097a14a29df4c53714b17350

Aliases

arxiv: 1101.1810 · arxiv_version: 1101.1810v6 · doi: 10.48550/arxiv.1101.1810 · pith_short_12: ZUJXFNAZWPZ5 · pith_short_16: ZUJXFNAZWPZ5SH77 · pith_short_8: ZUJXFNAZ

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/ZUJXFNAZWPZ5SH77TJWS45DWTW \
  | 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: cd1372b419b3f3d91fff9a6d2e74769d969c13e7097a14a29df4c53714b17350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23c9ae937af9db2fc1479fb84f7d1cf9d468f731bb467324c719ca0a9eb1620c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-10T13:40:38Z",
    "title_canon_sha256": "b7d8dd38b2bc8ce249ad9d1e07d58a5d8ea819ac83973da0bbcffbf47738c6e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1810",
    "kind": "arxiv",
    "version": 6
  }
}