Pith Number

pith:GM75B6ZM

pith:2010:GM75B6ZMYEP5MUKODYXJG7SQRF

not attested not anchored not stored refs pending

A Bijection between Atomic Partitions and Unsplitable Partitions

David G.L. Wang, Teresa X.S. Li, William Y.C. Chen

arxiv:1009.0661 v1 · 2010-09-03 · 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{GM75B6ZMYEP5MUKODYXJG7SQRF}

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	2026-05-18T04:16:12.149338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333fd0fb2cc11fd6514e1e2e937e508979ed582a148d2caadf28a80c68f0bcfc

Aliases

arxiv: 1009.0661 · arxiv_version: 1009.0661v1 · doi: 10.48550/arxiv.1009.0661 · pith_short_12: GM75B6ZMYEP5 · pith_short_16: GM75B6ZMYEP5MUKO · pith_short_8: GM75B6ZM

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/GM75B6ZMYEP5MUKODYXJG7SQRF \
  | 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: 333fd0fb2cc11fd6514e1e2e937e508979ed582a148d2caadf28a80c68f0bcfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1391e28477e75d1bbe11194c57c3da2233b5ce68b6705ddf6abc92f09c355e70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-03T13:30:43Z",
    "title_canon_sha256": "bf6abd124daab8e52618bbf895b67edce25ba35bb3c6e7337c0d55c719f5e8e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0661",
    "kind": "arxiv",
    "version": 1
  }
}