Pith Number

pith:3SNZ5K7A

pith:2017:3SNZ5K7AWERDAJWTIDASB5UZ63

not attested not anchored not stored refs pending

Factors of sums involving $q$-binomial coefficients and powers of $q$-integers

Su-Dan Wang, Victor J. W. Guo

arxiv:1701.07016 v2 · 2017-01-24 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SNZ5K7AWERDAJWTIDASB5UZ63}

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	2026-05-18T00:39:12.765447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc9b9eabe0b1223026d340c120f699f6dda8162e92aa4dcf73adf8cab72a06bc

Aliases

arxiv: 1701.07016 · arxiv_version: 1701.07016v2 · doi: 10.48550/arxiv.1701.07016 · pith_short_12: 3SNZ5K7AWERD · pith_short_16: 3SNZ5K7AWERDAJWT · pith_short_8: 3SNZ5K7A

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/3SNZ5K7AWERDAJWTIDASB5UZ63 \
  | 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: dc9b9eabe0b1223026d340c120f699f6dda8162e92aa4dcf73adf8cab72a06bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5108b2fb991033c5e26d96e989e1737351abeba40b6c96706aa60e4127c5a47e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-24T03:36:08Z",
    "title_canon_sha256": "3da8ddc656c386438c68ffe03ce6ea5a1257fe12459903e35ef1dca6af53cacd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07016",
    "kind": "arxiv",
    "version": 2
  }
}