Pith Number

pith:DGN4PYZH

pith:2013:DGN4PYZH7ODZAKN3ATEMDXRZWS

not attested not anchored not stored refs pending

FKN Theorem on the biased cube

Piotr Nayar

arxiv:1311.3179 v1 · 2013-11-13 · 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{DGN4PYZH7ODZAKN3ATEMDXRZWS}

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	2026-05-18T03:07:12.799188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

199bc7e327fb879029bb04c8c1de39b495bc1406e3df890bbfdda72b260ea427

Aliases

arxiv: 1311.3179 · arxiv_version: 1311.3179v1 · doi: 10.48550/arxiv.1311.3179 · pith_short_12: DGN4PYZH7ODZ · pith_short_16: DGN4PYZH7ODZAKN3 · pith_short_8: DGN4PYZH

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/DGN4PYZH7ODZAKN3ATEMDXRZWS \
  | 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: 199bc7e327fb879029bb04c8c1de39b495bc1406e3df890bbfdda72b260ea427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c273cfb2d7cc694ed990cfd26207118bc40f4224ea96e178f8d60a82ae0febfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-13T15:44:10Z",
    "title_canon_sha256": "af0d5f8bdaa5dc9d3f4af37d336f262dbc5d4444c0c29dee620863003dfd794a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3179",
    "kind": "arxiv",
    "version": 1
  }
}