Pith Number

pith:UJVC2XNQ

pith:2013:UJVC2XNQ7MRAOZL7LV3LOBLKYM

not attested not anchored not stored refs pending

A short proof of a famous combinatorial identity

Ant\'onio Guedes de Oliveira, Rui Duarte

arxiv:1307.6693 v1 · 2013-07-25 · 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{UJVC2XNQ7MRAOZL7LV3LOBLKYM}

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	2026-05-18T03:17:34.956795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a26a2d5db0fb2207657f5d76b7056ac32654a91397934bd86cbd4bec969da43b

Aliases

arxiv: 1307.6693 · arxiv_version: 1307.6693v1 · doi: 10.48550/arxiv.1307.6693 · pith_short_12: UJVC2XNQ7MRA · pith_short_16: UJVC2XNQ7MRAOZL7 · pith_short_8: UJVC2XNQ

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/UJVC2XNQ7MRAOZL7LV3LOBLKYM \
  | 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: a26a2d5db0fb2207657f5d76b7056ac32654a91397934bd86cbd4bec969da43b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4867b4ce6d5a6f1b0caa99c0a3497af704bf237d1b52b16ce939eec1528af118",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-25T10:43:09Z",
    "title_canon_sha256": "9f7bab7f49f00b7024cbd2e0502b3116e665c8ba3b5b79aeff1eae928a0d9ab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6693",
    "kind": "arxiv",
    "version": 1
  }
}