Pith Number

pith:HJFXT5N6

pith:2010:HJFXT5N67YLXSWXJ24QFDSJ3FC

not attested not anchored not stored refs pending

A simple proof of a generalization of the Chu-Vandermonde identity

Annalisa Cerquetti

arxiv:1012.1243 v1 · 2010-12-06 · math.PR · 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{HJFXT5N67YLXSWXJ24QFDSJ3FC}

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	2026-05-18T04:34:01.663573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4b79f5befe17795ae9d72051c93b2898f89b0db86a137a84bdd4a18fe8e213

Aliases

arxiv: 1012.1243 · arxiv_version: 1012.1243v1 · doi: 10.48550/arxiv.1012.1243 · pith_short_12: HJFXT5N67YLX · pith_short_16: HJFXT5N67YLXSWXJ · pith_short_8: HJFXT5N6

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/HJFXT5N67YLXSWXJ24QFDSJ3FC \
  | 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: 3a4b79f5befe17795ae9d72051c93b2898f89b0db86a137a84bdd4a18fe8e213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6412b1f2430c3b0b613e3a1238a96a28cadfd7bac5dd8842913efa113618a907",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-06T16:59:33Z",
    "title_canon_sha256": "aa5e6417e35a25a1536a89bccf90156a6319349b55ab77ad76541ff81bc4cf78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1243",
    "kind": "arxiv",
    "version": 1
  }
}