Pith Number

pith:Z2JQOVJJ

pith:2010:Z2JQOVJJB2JEYYABNBKYX6IUO3

not attested not anchored not stored refs pending

On perfect hashing of numbers with sparse digit representation via multiplication by a constant

Maurizio Monge

arxiv:1003.3196 v2 · 2010-03-16 · math.NT · 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{Z2JQOVJJB2JEYYABNBKYX6IUO3}

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	2026-05-18T04:10:57.244768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce930755290e924c600168558bf91476fd8d2b2f6e5066b7d5d06f6845ca3280

Aliases

arxiv: 1003.3196 · arxiv_version: 1003.3196v2 · doi: 10.48550/arxiv.1003.3196 · pith_short_12: Z2JQOVJJB2JE · pith_short_16: Z2JQOVJJB2JEYYAB · pith_short_8: Z2JQOVJJ

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/Z2JQOVJJB2JEYYABNBKYX6IUO3 \
  | 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: ce930755290e924c600168558bf91476fd8d2b2f6e5066b7d5d06f6845ca3280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a106eae92e47ff371b587642471743566bab791188c55307013fc4fff2fb10d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-16T17:31:09Z",
    "title_canon_sha256": "a51dd0790b9a68c07ed144f8f3c352d7a95bb0a80fc94f2b2dae31f700e1f23d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3196",
    "kind": "arxiv",
    "version": 2
  }
}