Pith Number

pith:4PWDDZKM

pith:2015:4PWDDZKM3GIM6S23G7QNH5P3X3

not attested not anchored not stored refs pending

On the score sheets of a round-robin football tournament

Bogdan Ichim, Julio Jos\'e Moyano-Fern\'andez

arxiv:1512.00533 v2 · 2015-12-02 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PWDDZKM3GIM6S23G7QNH5P3X3}

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	2026-05-18T00:43:35.969509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ec31e54cd990cf4b5b37e0d3f5fbbec3fb053133e17ede73d22985a0c85185

Aliases

arxiv: 1512.00533 · arxiv_version: 1512.00533v2 · doi: 10.48550/arxiv.1512.00533 · pith_short_12: 4PWDDZKM3GIM · pith_short_16: 4PWDDZKM3GIM6S23 · pith_short_8: 4PWDDZKM

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/4PWDDZKM3GIM6S23G7QNH5P3X3 \
  | 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: e3ec31e54cd990cf4b5b37e0d3f5fbbec3fb053133e17ede73d22985a0c85185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89ee20ff7f06ef93ed9ebfde7eb014657ab7b61f0d3e46505ffde2647bdc2497",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-02T00:40:31Z",
    "title_canon_sha256": "6a8a3f74d9056fc5907f6efab18c717f921fdbeb7a464c4cb4fcdd109e2ad793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00533",
    "kind": "arxiv",
    "version": 2
  }
}