Pith Number

pith:JFXKWQKR

pith:2010:JFXKWQKRISPRKQ32VJA5BCAWUX

not attested not anchored not stored refs pending

Generating all subsets of a finite set with disjoint unions

Benny Sudakov, David Ellis

arxiv:1010.4877 v2 · 2010-10-23 · 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{JFXKWQKRISPRKQ32VJA5BCAWUX}

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	2026-05-18T04:20:49.732811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

496eab4151449f15437aaa41d08816a5ca88028d7fa8f634b8c7b3c77078cfdc

Aliases

arxiv: 1010.4877 · arxiv_version: 1010.4877v2 · doi: 10.48550/arxiv.1010.4877 · pith_short_12: JFXKWQKRISPR · pith_short_16: JFXKWQKRISPRKQ32 · pith_short_8: JFXKWQKR

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/JFXKWQKRISPRKQ32VJA5BCAWUX \
  | 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: 496eab4151449f15437aaa41d08816a5ca88028d7fa8f634b8c7b3c77078cfdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1540987504fa6144d81d53bf001946df1c1a7d0475eccb8e65c9cf5d5119b9fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-23T13:11:00Z",
    "title_canon_sha256": "29ba2b4d2c8c6901ae1fbf09e2e551cd389062592d423b805f1476d71e14ed4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4877",
    "kind": "arxiv",
    "version": 2
  }
}