Pith Number

pith:2H6IO5OU

pith:2009:2H6IO5OU7HQZNE7T7H2T3K4CLS

not attested not anchored not stored refs pending

Front representation of set partitions

Jang Soo Kim

arxiv:0907.1485 v3 · 2009-07-09 · 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{2H6IO5OU7HQZNE7T7H2T3K4CLS}

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	2026-05-18T04:14:38.310289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1fc8775d4f9e19693f3f9f53dab825cbbabb59c5c31ddebfbfc9e4bd90d1d67

Aliases

arxiv: 0907.1485 · arxiv_version: 0907.1485v3 · doi: 10.48550/arxiv.0907.1485 · pith_short_12: 2H6IO5OU7HQZ · pith_short_16: 2H6IO5OU7HQZNE7T · pith_short_8: 2H6IO5OU

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/2H6IO5OU7HQZNE7T7H2T3K4CLS \
  | 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: d1fc8775d4f9e19693f3f9f53dab825cbbabb59c5c31ddebfbfc9e4bd90d1d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dfba4805207394ababb0983b70ed80a1fea49816b1e857d783e22352116f3d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-07-09T10:21:56Z",
    "title_canon_sha256": "6b15ad1d00563c9950593731672611e2d0b5472f54bc1a55850aa96ec936f048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1485",
    "kind": "arxiv",
    "version": 3
  }
}