Pith Number

pith:42HKBVU2

pith:2017:42HKBVU2SBLFORCAKUPXQ2OJXU

not attested not anchored not stored refs pending

Factors of sums and alternating sums of products of $q$-binomial coefficients and powers of $q$-integers

Su-Dan Wang, Victor J. W. Guo

arxiv:1705.06236 v1 · 2017-05-08 · 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{42HKBVU2SBLFORCAKUPXQ2OJXU}

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	2026-05-18T00:44:18.364737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68ea0d69a9056574440551f7869c9bd0d48e005c6491ebc4b5691b2686881b9

Aliases

arxiv: 1705.06236 · arxiv_version: 1705.06236v1 · doi: 10.48550/arxiv.1705.06236 · pith_short_12: 42HKBVU2SBLF · pith_short_16: 42HKBVU2SBLFORCA · pith_short_8: 42HKBVU2

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/42HKBVU2SBLFORCAKUPXQ2OJXU \
  | 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: e68ea0d69a9056574440551f7869c9bd0d48e005c6491ebc4b5691b2686881b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4acc74b252db908b73d95cab0449d14aaa00e871f49738c0256ec16d6fd6f0b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-08T11:13:06Z",
    "title_canon_sha256": "b5ec98f3255efa8f286b18cbed67e47560cd2faea7c86ec4fc0bf3cd82c07f17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06236",
    "kind": "arxiv",
    "version": 1
  }
}