Pith Number

pith:ZKUHRUCY

pith:2015:ZKUHRUCYFWOY4VBHCU7IAZT4SQ

not attested not anchored not stored refs pending

On the overlap distribution of branching random walks

Aukosh Jagannath

arxiv:1509.07527 v4 · 2015-09-24 · 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{ZKUHRUCYFWOY4VBHCU7IAZT4SQ}

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	2026-05-18T00:42:39.696660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa878d0582d9d8e5427153e80667c942c40c37d9a01889e333e65066d010cf4

Aliases

arxiv: 1509.07527 · arxiv_version: 1509.07527v4 · doi: 10.48550/arxiv.1509.07527 · pith_short_12: ZKUHRUCYFWOY · pith_short_16: ZKUHRUCYFWOY4VBH · pith_short_8: ZKUHRUCY

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/ZKUHRUCYFWOY4VBHCU7IAZT4SQ \
  | 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: caa878d0582d9d8e5427153e80667c942c40c37d9a01889e333e65066d010cf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "482c311d92568c7fa7cbcdcaaea22c9fab9aea6441834b862d4daeddd7ae53c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-24T20:24:31Z",
    "title_canon_sha256": "5362fa316e278e558551c5e404002cbfec3ec2f86c7407eb5f64fe203b766fdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07527",
    "kind": "arxiv",
    "version": 4
  }
}