Pith Number

pith:ONYW3HP2

pith:2011:ONYW3HP2CSA7EEMMZK6U53HQ4O

not attested not anchored not stored refs pending

Avoiding 3/2-powers over the natural numbers

Eric Rowland, Jeffrey Shallit

arxiv:1101.3535 v1 · 2011-01-18 · 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{ONYW3HP2CSA7EEMMZK6U53HQ4O}

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	2026-05-18T02:54:05.459405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73716d9dfa1481f2118ccabd4eecf0e3869e7a61841ec74991be10b002862bf2

Aliases

arxiv: 1101.3535 · arxiv_version: 1101.3535v1 · doi: 10.48550/arxiv.1101.3535 · pith_short_12: ONYW3HP2CSA7 · pith_short_16: ONYW3HP2CSA7EEMM · pith_short_8: ONYW3HP2

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/ONYW3HP2CSA7EEMMZK6U53HQ4O \
  | 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: 73716d9dfa1481f2118ccabd4eecf0e3869e7a61841ec74991be10b002862bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc924ae74321fda0289dec16fd722465a256db021a6885f509e85fd8be485bbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-18T20:08:24Z",
    "title_canon_sha256": "ded4e8b5f465e8216ea56b682f3dc3d1006edb731ed7bf096a1bd144193c44ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3535",
    "kind": "arxiv",
    "version": 1
  }
}