Pith Number

pith:2OOWL3EO

pith:2013:2OOWL3EOWWFTHFJCLTQSNKVNKJ

not attested not anchored not stored refs pending

Distance between two random k-out digraphs, with and without preferential attachment

Boris Pittel, Nicholas R. Peterson

arxiv:1311.5961 v2 · 2013-11-23 · math.CO · 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{2OOWL3EOWWFTHFJCLTQSNKVNKJ}

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	2026-05-18T02:44:40.334612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39d65ec8eb58b3395225ce126aaad524974e3d0f29309ac4c0926af1255d8fa

Aliases

arxiv: 1311.5961 · arxiv_version: 1311.5961v2 · doi: 10.48550/arxiv.1311.5961 · pith_short_12: 2OOWL3EOWWFT · pith_short_16: 2OOWL3EOWWFTHFJC · pith_short_8: 2OOWL3EO

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/2OOWL3EOWWFTHFJCLTQSNKVNKJ \
  | 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: d39d65ec8eb58b3395225ce126aaad524974e3d0f29309ac4c0926af1255d8fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2398f8f74c868ff5c42714f3723c8561e0f0738b6aab1ae4c8c19e228f5f7933",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-23T05:04:39Z",
    "title_canon_sha256": "6815feb2df5f2aceefc70c6b31bba91e61b0f66233b4f7c9b8e16bdc4c9c747b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5961",
    "kind": "arxiv",
    "version": 2
  }
}