Pith Number

pith:EKL7WWI5

pith:2010:EKL7WWI5IXE6P24ILMX6CU5USA

not attested not anchored not stored refs pending

On sums involving products of three binomial coefficients

Zhi-Wei Sun

arxiv:1012.3141 v6 · 2010-12-14 · math.NT · 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{EKL7WWI5IXE6P24ILMX6CU5USA}

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	2026-05-18T02:53:15.916679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2297fb591d45c9e7eb885b2fe153b4901938b4a5cb3e3c9364b797d7f826881b

Aliases

arxiv: 1012.3141 · arxiv_version: 1012.3141v6 · doi: 10.48550/arxiv.1012.3141 · pith_short_12: EKL7WWI5IXE6 · pith_short_16: EKL7WWI5IXE6P24I · pith_short_8: EKL7WWI5

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/EKL7WWI5IXE6P24ILMX6CU5USA \
  | 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: 2297fb591d45c9e7eb885b2fe153b4901938b4a5cb3e3c9364b797d7f826881b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fc80e85c1c8f2c81c68e905de1bb3b36a58147f53f40a15620ec6c19ddc0b34",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-14T19:26:16Z",
    "title_canon_sha256": "37de0ba3f954506de2b7a128f290e1e0e400902a5c7bdba028ec9e25d4cec83c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3141",
    "kind": "arxiv",
    "version": 6
  }
}