Pith Number

pith:BSMODBPD

pith:2015:BSMODBPDGZ56B7IW3FDQY4MWCJ

not attested not anchored not stored refs pending

Some asymptotic results on q-binomial coefficients

Fabrizio Zanello, Richard P. Stanley

arxiv:1503.06367 v2 · 2015-03-21 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BSMODBPDGZ56B7IW3FDQY4MWCJ}

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	2026-05-18T01:02:57.058680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c98e185e3367be0fd16d9470c7196127d8a65285f0d19eb6d028b2bce0ff45b

Aliases

arxiv: 1503.06367 · arxiv_version: 1503.06367v2 · doi: 10.48550/arxiv.1503.06367 · pith_short_12: BSMODBPDGZ56 · pith_short_16: BSMODBPDGZ56B7IW · pith_short_8: BSMODBPD

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/BSMODBPDGZ56B7IW3FDQY4MWCJ \
  | 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: 0c98e185e3367be0fd16d9470c7196127d8a65285f0d19eb6d028b2bce0ff45b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f9a52796398a8244fe9ed03e868b0a6d09cf8bd5110c13014c10876aec50130",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-21T23:43:10Z",
    "title_canon_sha256": "fccc395db9fad400205e2b8e58047afa37c23acc0a89a530dbf3961469302b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06367",
    "kind": "arxiv",
    "version": 2
  }
}