Pith Number

pith:3AJPC454

pith:2010:3AJPC454PVDKVF4ZG77U5LYGQB

not attested not anchored not stored refs pending

Random graphs with a given degree sequence

Allan Sly, Persi Diaconis, Sourav Chatterjee

arxiv:1005.1136 v5 · 2010-05-07 · math.PR · math.CO · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AJPC454PVDKVF4ZG77U5LYGQB}

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	2026-05-18T04:14:29.614561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d812f173bc7d46aa979937ff4eaf068044aff4a2671f9a95a98e596a1ec7f10a

Aliases

arxiv: 1005.1136 · arxiv_version: 1005.1136v5 · doi: 10.48550/arxiv.1005.1136 · pith_short_12: 3AJPC454PVDK · pith_short_16: 3AJPC454PVDKVF4Z · pith_short_8: 3AJPC454

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/3AJPC454PVDKVF4ZG77U5LYGQB \
  | 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: d812f173bc7d46aa979937ff4eaf068044aff4a2671f9a95a98e596a1ec7f10a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d3abb52249a139ccf1ba3fc9432e03e3dff283d57f53cfdbffb75d3a122243d",
    "cross_cats_sorted": [
      "math.CO",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-07T06:05:00Z",
    "title_canon_sha256": "155f69c3309d5fe97e3fb0aa59a9fc3e56bc59bfbec50974a62c9b2a2ed7a661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1136",
    "kind": "arxiv",
    "version": 5
  }
}