Pith Number

pith:CQI6GLFE

pith:2015:CQI6GLFEM6X2YU3KVTDYIYBR2Q

not attested not anchored not stored refs pending

Diameter and Stationary Distribution of Random $r$-out Digraphs

Borja Balle, Guillem Perarnau, Louigi Addario-Berry

arxiv:1504.06840 v1 · 2015-04-26 · math.PR · cs.DM · 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{CQI6GLFEM6X2YU3KVTDYIYBR2Q}

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	2026-05-18T02:17:44.276724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1411e32ca467afac536aacc7846031d413048bf3a0d3ea4b35b8fa60cf40948f

Aliases

arxiv: 1504.06840 · arxiv_version: 1504.06840v1 · doi: 10.48550/arxiv.1504.06840 · pith_short_12: CQI6GLFEM6X2 · pith_short_16: CQI6GLFEM6X2YU3K · pith_short_8: CQI6GLFE

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/CQI6GLFEM6X2YU3KVTDYIYBR2Q \
  | 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: 1411e32ca467afac536aacc7846031d413048bf3a0d3ea4b35b8fa60cf40948f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf2f1d20052f7601e5824df384a75e7e8b86207965b9f9059082b24f474ce2c8",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-26T15:58:22Z",
    "title_canon_sha256": "78c314ee59618da4ab73e64e801ae8aa86ccd54e5ea3587764ee86ddfaa4e1d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06840",
    "kind": "arxiv",
    "version": 1
  }
}