Pith Number

pith:T2IUBOOB

pith:2005:T2IUBOOBY3ML3GNYBZ7AGJLRGT

not attested not anchored not stored refs pending

Random graphs with arbitrary i.i.d. degrees

Dmitri Znamenski, Gerard Hooghiemstra, Remco van der Hofstad

arxiv:math/0502580 v2 · 2005-02-28 · 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{T2IUBOOBY3ML3GNYBZ7AGJLRGT}

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	2026-07-04T14:58:03.366072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9140b9c1c6d8bd99b80e7e03257134f1d84b6a1044811d9dafc12a376434f6

Aliases

arxiv: math/0502580 · arxiv_version: math/0502580v2 · doi: 10.48550/arxiv.math/0502580 · pith_short_12: T2IUBOOBY3ML · pith_short_16: T2IUBOOBY3ML3GNY · pith_short_8: T2IUBOOB

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/T2IUBOOBY3ML3GNYBZ7AGJLRGT \
  | 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: 9e9140b9c1c6d8bd99b80e7e03257134f1d84b6a1044811d9dafc12a376434f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7e495b958205e0c8dc57a4604579ca60183b18a39abc87a8e36361d67451718",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-02-28T16:44:55Z",
    "title_canon_sha256": "1d327388d41a22dadb5cbac4c485caa1b44bb9982a9ebaa2bc25ccb9fab9cd63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502580",
    "kind": "arxiv",
    "version": 2
  }
}