Pith Number

pith:GTF3EOFW

pith:2012:GTF3EOFWQWGQUQGLWUFAYGLLBD

not attested not anchored not stored refs pending

Subtraction games with FES sets of size 3

Danny Sleator, Marla Slusky

arxiv:1201.3299 v1 · 2012-01-16 · 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{GTF3EOFWQWGQUQGLWUFAYGLLBD}

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	2026-05-18T04:04:31.669407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34cbb238b6858d0a40cbb50a0c196b08c3ff6071fd5c9005a0ff76569500ea0b

Aliases

arxiv: 1201.3299 · arxiv_version: 1201.3299v1 · doi: 10.48550/arxiv.1201.3299 · pith_short_12: GTF3EOFWQWGQ · pith_short_16: GTF3EOFWQWGQUQGL · pith_short_8: GTF3EOFW

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/GTF3EOFWQWGQUQGLWUFAYGLLBD \
  | 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: 34cbb238b6858d0a40cbb50a0c196b08c3ff6071fd5c9005a0ff76569500ea0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e464eaea748ccf69f1e4b60081132dad95b723df3130158f25a92da03d88e7db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-16T16:01:43Z",
    "title_canon_sha256": "83f857a4ffc67eabac2e4aa2e010edb3a0b725bcfee120ed8783cf419c114740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3299",
    "kind": "arxiv",
    "version": 1
  }
}