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Pith Number

pith:KYYK3X76

pith:2012:KYYK3X76XMVT2C42QJUJ5UIZFV
not attested not anchored not stored refs pending

New developments of an old identity

Ant\'onio Guedes de Oliveira, Rui Duarte

arxiv:1203.5424 v4 · 2012-03-24 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KYYK3X76XMVT2C42QJUJ5UIZFV}

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 2026-05-18T00:57:38.684098Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5630addffebb2b3d0b9a82689ed1192d59456ddab03a35e0e35d2b8d2ddb31ee

Aliases

arxiv: 1203.5424 · arxiv_version: 1203.5424v4 · doi: 10.48550/arxiv.1203.5424 · pith_short_12: KYYK3X76XMVT · pith_short_16: KYYK3X76XMVT2C42 · pith_short_8: KYYK3X76
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KYYK3X76XMVT2C42QJUJ5UIZFV \
  | 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: 5630addffebb2b3d0b9a82689ed1192d59456ddab03a35e0e35d2b8d2ddb31ee
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f17b1bc7048b3c723709719c3b9ccf3f535f4577d15b5ced2cc604c22ae68970",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-24T15:38:01Z",
    "title_canon_sha256": "5544d4235f95dc077bb1c106c21ad24bd6c960b0bfa0c9e4a0acba596fce9d59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5424",
    "kind": "arxiv",
    "version": 4
  }
}