Pith Number

pith:G3WMBNZX

pith:2007:G3WMBNZXP54MNAZBD3DQOBW6Y2

not attested not anchored not stored refs pending

Local Limit Theorems and Number of Connected Hypergraphs

Amin Coja-Oghlan, Michael Behrisch, Mihyun Kang

arxiv:0706.0497 v3 · 2007-06-04 · 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{G3WMBNZXP54MNAZBD3DQOBW6Y2}

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	2026-05-18T02:49:02.217850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36ecc0b7377f78c683211ec70706dec69e3398cb9f8d01b52da3774f57fac6b9

Aliases

arxiv: 0706.0497 · arxiv_version: 0706.0497v3 · doi: 10.48550/arxiv.0706.0497 · pith_short_12: G3WMBNZXP54M · pith_short_16: G3WMBNZXP54MNAZB · pith_short_8: G3WMBNZX

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/G3WMBNZXP54MNAZBD3DQOBW6Y2 \
  | 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: 36ecc0b7377f78c683211ec70706dec69e3398cb9f8d01b52da3774f57fac6b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e9a4a7cad79477a16db1251527f1264f14617d888a8a66b4f46dd5c906fd50",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2007-06-04T18:49:03Z",
    "title_canon_sha256": "f6af65549fdd04920e4a32fe441bd3b11cf91075cf00774c9feaf50dfba706dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0497",
    "kind": "arxiv",
    "version": 3
  }
}