Pith Number

pith:RU7KG5KJ

pith:2012:RU7KG5KJQMJPJJSWQPYSOJWRC4

not attested not anchored not stored refs pending

Factors of Some Lacunary q-Binomial Sums

Hao Pan

arxiv:1201.5963 v3 · 2012-01-28 · 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{RU7KG5KJQMJPJJSWQPYSOJWRC4}

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	2026-05-18T03:54:25.747054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d3ea375498312f4a65683f12726d117107173927d511f54a548b6ab353051a7

Aliases

arxiv: 1201.5963 · arxiv_version: 1201.5963v3 · doi: 10.48550/arxiv.1201.5963 · pith_short_12: RU7KG5KJQMJP · pith_short_16: RU7KG5KJQMJPJJSW · pith_short_8: RU7KG5KJ

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/RU7KG5KJQMJPJJSWQPYSOJWRC4 \
  | 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: 8d3ea375498312f4a65683f12726d117107173927d511f54a548b6ab353051a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cce13693d2f93280da59ee5b83372eccc0caad777582f2cbdab3d12d2ff223b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-28T14:02:35Z",
    "title_canon_sha256": "53414efae7bbdf31f4bba4122c953e42409e226bacc8e393695020db638be09c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5963",
    "kind": "arxiv",
    "version": 3
  }
}