Pith Number

pith:PVHGEFDN

pith:2012:PVHGEFDNF37WZ6HKITYXVCILD6

not attested not anchored not stored refs pending

The groupies of random multipartite graphs

Hongyun Wang, Marius Portmann

arxiv:1209.3316 v1 · 2012-09-14 · 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{PVHGEFDNF37WZ6HKITYXVCILD6}

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	2026-05-18T03:45:31.224957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d4e62146d2eff6cf8ea44f17a890b1fbed2f715ac3213fc67e3505eaf406abb

Aliases

arxiv: 1209.3316 · arxiv_version: 1209.3316v1 · doi: 10.48550/arxiv.1209.3316 · pith_short_12: PVHGEFDNF37W · pith_short_16: PVHGEFDNF37WZ6HK · pith_short_8: PVHGEFDN

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/PVHGEFDNF37WZ6HKITYXVCILD6 \
  | 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: 7d4e62146d2eff6cf8ea44f17a890b1fbed2f715ac3213fc67e3505eaf406abb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b274304d07e84ace4ff3c3644a86d2caa886d810a02f7b4ad7a65010769dd00",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-14T20:24:17Z",
    "title_canon_sha256": "4835a9f8ea95366cb4ca3e79a7f287f57dea4fb73ad4b18af4b909b47d77ac15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3316",
    "kind": "arxiv",
    "version": 1
  }
}