Pith Number

pith:RC34LMNE

pith:2010:RC34LMNE2B5YGEGHO33ZDW3ZQM

not attested not anchored not stored refs pending

Vertices of high degree in the preferential attachment tree

Graham Brightwell, Malwina J. Luczak

arxiv:1012.5550 v2 · 2010-12-26 · 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{RC34LMNE2B5YGEGHO33ZDW3ZQM}

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	2026-05-18T04:03:43.488719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b7c5b1a4d07b8310c776f791db79833580ed8b681e2cad6df9e3cbc37034aa

Aliases

arxiv: 1012.5550 · arxiv_version: 1012.5550v2 · doi: 10.48550/arxiv.1012.5550 · pith_short_12: RC34LMNE2B5Y · pith_short_16: RC34LMNE2B5YGEGH · pith_short_8: RC34LMNE

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/RC34LMNE2B5YGEGHO33ZDW3ZQM \
  | 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: 88b7c5b1a4d07b8310c776f791db79833580ed8b681e2cad6df9e3cbc37034aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "548459c79e19f972e4b9cbf3b72445400d54575b2d13192aed302669ee820d6f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-26T23:47:51Z",
    "title_canon_sha256": "e73e913712cd906943f99f26f411f2db12ee8672f0324ffad63be8dd70191b06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5550",
    "kind": "arxiv",
    "version": 2
  }
}