Pith Number

pith:32VAN7XR

pith:2012:32VAN7XRAGRQ6RUGCG6ZT37JBG

not attested not anchored not stored refs pending

The {-3}-reconstruction and the {-3}-self duality of tournaments

Abderrahim Boussairi, Mouna Achour, Youssef Boudabbous

arxiv:1204.2513 v1 · 2012-04-11 · 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{32VAN7XRAGRQ6RUGCG6ZT37JBG}

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	2026-05-18T03:58:04.880863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deaa06fef101a30f468611bd99efe9099bf4038860cb792de30e9c183f06bf92

Aliases

arxiv: 1204.2513 · arxiv_version: 1204.2513v1 · doi: 10.48550/arxiv.1204.2513 · pith_short_12: 32VAN7XRAGRQ · pith_short_16: 32VAN7XRAGRQ6RUG · pith_short_8: 32VAN7XR

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/32VAN7XRAGRQ6RUGCG6ZT37JBG \
  | 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: deaa06fef101a30f468611bd99efe9099bf4038860cb792de30e9c183f06bf92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36bddeb7fcd5debb000e5479b7c12e23e58fe2ab5b41044384e414ec7428dee3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-11T18:26:56Z",
    "title_canon_sha256": "776f153fa2c930b8d075867951b4b49d55e1fbd30a3ee8b958c4ba9371afb6b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2513",
    "kind": "arxiv",
    "version": 1
  }
}