Pith Number

pith:WWEL3J2P

pith:2018:WWEL3J2PGCFAMVAJV37TW6Q5RI

not attested not anchored not stored refs pending

The branching-ruin number as critical parameter of random processes on trees

Andrea Collevecchio, Cong Bang Huynh, Daniel Kious

arxiv:1811.08058 v1 · 2018-11-20 · 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{WWEL3J2PGCFAMVAJV37TW6Q5RI}

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	2026-05-18T00:00:16.977688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b588bda74f308a065409aeff3b7a1d8a0d3ae63b3489ee73a3a609f3f883401a

Aliases

arxiv: 1811.08058 · arxiv_version: 1811.08058v1 · doi: 10.48550/arxiv.1811.08058 · pith_short_12: WWEL3J2PGCFA · pith_short_16: WWEL3J2PGCFAMVAJ · pith_short_8: WWEL3J2P

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/WWEL3J2PGCFAMVAJV37TW6Q5RI \
  | 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: b588bda74f308a065409aeff3b7a1d8a0d3ae63b3489ee73a3a609f3f883401a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbdef600ee76b70f13e8b6d67afa84e7cc73591d66162e48f7e6e241cc8d2188",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-11-20T03:53:48Z",
    "title_canon_sha256": "972c9a8b49b3fa1114f4ca1622ae8fef1008872090673615ea386947f0ebb3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08058",
    "kind": "arxiv",
    "version": 1
  }
}