Pith Number

pith:AQUIXYV5

pith:2018:AQUIXYV5QJCK7DWNOJ7LNQDNYA

not attested not anchored not stored refs pending

The largest projective cube-free subsets of $\mathbb{Z}_{2^n}$

Adam Zsolt Wagner, Jason Long

arxiv:1810.01225 v1 · 2018-10-02 · 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{AQUIXYV5QJCK7DWNOJ7LNQDNYA}

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	2026-05-18T00:04:18.482453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04288be2bd8244af8ecd727eb6c06dc03e23534d24f2a052fa46cbb2d0575ffc

Aliases

arxiv: 1810.01225 · arxiv_version: 1810.01225v1 · doi: 10.48550/arxiv.1810.01225 · pith_short_12: AQUIXYV5QJCK · pith_short_16: AQUIXYV5QJCK7DWN · pith_short_8: AQUIXYV5

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/AQUIXYV5QJCK7DWNOJ7LNQDNYA \
  | 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: 04288be2bd8244af8ecd727eb6c06dc03e23534d24f2a052fa46cbb2d0575ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e04c8ca190431e84f9c7b249a8f24b145e19ac87b0542352978610863ef583db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-02T13:20:45Z",
    "title_canon_sha256": "caf2c2c3da4fe0a70421d477b8889578e11b6bc2437d46fd1f69bfaec356a269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01225",
    "kind": "arxiv",
    "version": 1
  }
}