Pith Number

pith:7BZPJ2OJ

pith:2011:7BZPJ2OJK4XXDRRJTZGKWDP3KM

not attested not anchored not stored refs pending

A short proof for Dougall's $_2H_2$-series identity

Chuanan Wei, Jianbo Li, Qinglun Yan

arxiv:1111.1021 v1 · 2011-11-04 · 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{7BZPJ2OJK4XXDRRJTZGKWDP3KM}

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	2026-05-18T04:09:35.959096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f872f4e9c9572f71c6299e4cab0dfb531597de6df6fd81124207bb046b8e0bef

Aliases

arxiv: 1111.1021 · arxiv_version: 1111.1021v1 · doi: 10.48550/arxiv.1111.1021 · pith_short_12: 7BZPJ2OJK4XX · pith_short_16: 7BZPJ2OJK4XXDRRJ · pith_short_8: 7BZPJ2OJ

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/7BZPJ2OJK4XXDRRJTZGKWDP3KM \
  | 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: f872f4e9c9572f71c6299e4cab0dfb531597de6df6fd81124207bb046b8e0bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1a610958b02bd2cd2f31fd706229d9cdb8372a6f319c7647b04043aaa422278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-04T00:46:57Z",
    "title_canon_sha256": "8e349362d5c52747ca335fa0483670af1e3f909f8dea7f30e212d6258b5c9f1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1021",
    "kind": "arxiv",
    "version": 1
  }
}