Pith Number

pith:ZAAVBN45

pith:2015:ZAAVBN45KVQPUODYUIHUFPNIAN

not attested not anchored not stored refs pending

Random walk on sparse random digraphs

Charles Bordenave, Justin Salez, Pietro Caputo

arxiv:1508.06600 v3 · 2015-08-26 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAAVBN45KVQPUODYUIHUFPNIAN}

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	2026-05-18T00:25:27.401829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c80150b79d5560fa3878a20f42bda80369ee95f7b9becd8e7601b9fdc011bb75

Aliases

arxiv: 1508.06600 · arxiv_version: 1508.06600v3 · doi: 10.48550/arxiv.1508.06600 · pith_short_12: ZAAVBN45KVQP · pith_short_16: ZAAVBN45KVQPUODY · pith_short_8: ZAAVBN45

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/ZAAVBN45KVQPUODYUIHUFPNIAN \
  | 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: c80150b79d5560fa3878a20f42bda80369ee95f7b9becd8e7601b9fdc011bb75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb5ffde2daa6af1e6d391d69587c41dd6ee55863d28c911cec8dfff575a987d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-26T18:35:05Z",
    "title_canon_sha256": "65501a916fca158ae05113afd7dc5710cfa4183e04425a1b760a62b25b3691dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06600",
    "kind": "arxiv",
    "version": 3
  }
}