Pith Number

pith:CEECCJUA

pith:2011:CEECCJUAESAJPZBXHALDLKVD5V

not attested not anchored not stored refs pending

Convergence in law for the branching random walk seen from its tip

Thomas Madaule

arxiv:1107.2543 v5 · 2011-07-13 · 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{CEECCJUAESAJPZBXHALDLKVD5V}

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	2026-05-18T01:34:36.202205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1108212680248097e437381635aaa3ed6323dddb2c0da6a138179b8371e28f8f

Aliases

arxiv: 1107.2543 · arxiv_version: 1107.2543v5 · doi: 10.48550/arxiv.1107.2543 · pith_short_12: CEECCJUAESAJ · pith_short_16: CEECCJUAESAJPZBX · pith_short_8: CEECCJUA

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/CEECCJUAESAJPZBXHALDLKVD5V \
  | 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: 1108212680248097e437381635aaa3ed6323dddb2c0da6a138179b8371e28f8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66208ef9a2a8a8b81380521dc8efadc4324902ce370d5b73d406de80a23a7fef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-13T13:21:50Z",
    "title_canon_sha256": "3723e115cb88bebf85917fc8396ce667277c8aa80cc4690a567bea4d912a47f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2543",
    "kind": "arxiv",
    "version": 5
  }
}