Pith Number

pith:3URPC7VC

pith:2009:3URPC7VC3FQYQFXF6W2LOFGSTY

not attested not anchored not stored refs pending

Sums and Products of Distinct Sets and Distinct Elements in $\mathbb{C}$

Karsten Chipeniuk

arxiv:0902.3506 v2 · 2009-02-20 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3URPC7VC3FQYQFXF6W2LOFGSTY}

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	2026-05-18T04:41:05.307257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd22f17ea2d9618816e5f5b4b714d29e132da403708206fc149c1d9436bfb331

Aliases

arxiv: 0902.3506 · arxiv_version: 0902.3506v2 · doi: 10.48550/arxiv.0902.3506 · pith_short_12: 3URPC7VC3FQY · pith_short_16: 3URPC7VC3FQYQFXF · pith_short_8: 3URPC7VC

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/3URPC7VC3FQYQFXF6W2LOFGSTY \
  | 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: dd22f17ea2d9618816e5f5b4b714d29e132da403708206fc149c1d9436bfb331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "251956fc4e845e6df225820873f7496ed40f07dbdacd0053c7da6e23dc5df7d2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-02-20T03:18:49Z",
    "title_canon_sha256": "3dea3bf09c6fbd3bad16440711b6d85216bcdc235b3185d435c679ed28c0ec75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3506",
    "kind": "arxiv",
    "version": 2
  }
}