Pith Number

pith:V2OUSEEY

pith:2013:V2OUSEEYEY4ZKGFBR7ZHSOOQCD

not attested not anchored not stored refs pending

A family of Alltop functions that are EA-inequivalent to the cubic function

Asha Rao, Joanne L. Hall, Stephen M. Gagola III

arxiv:1302.4498 v2 · 2013-02-19 · math.CO · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2OUSEEYEY4ZKGFBR7ZHSOOQCD}

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	2026-05-18T03:05:44.592841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae9d49109826399518a18ff27939d010e0c91b1859500926d2881c7766538124

Aliases

arxiv: 1302.4498 · arxiv_version: 1302.4498v2 · doi: 10.48550/arxiv.1302.4498 · pith_short_12: V2OUSEEYEY4Z · pith_short_16: V2OUSEEYEY4ZKGFB · pith_short_8: V2OUSEEY

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/V2OUSEEYEY4ZKGFBR7ZHSOOQCD \
  | 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: ae9d49109826399518a18ff27939d010e0c91b1859500926d2881c7766538124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6835e13da81b5384b2d4acc53a1b616b91bfc9ff3d6807fbded7aba9dd9ded39",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-19T01:15:35Z",
    "title_canon_sha256": "08ab446a33cd55c880f5c61a3db5654fa2e75018a337c3272e55a04865007eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4498",
    "kind": "arxiv",
    "version": 2
  }
}