Pith Number

pith:QE4OKJZL

pith:2016:QE4OKJZLDFVOVKTSQCXXBX6ONW

not attested not anchored not stored refs pending

New identities for binary Krawtchouk polynomials, binomial coefficients and Catalan numbers

Ricardo A. Podest\'a

arxiv:1603.09156 v2 · 2016-03-30 · 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{QE4OKJZLDFVOVKTSQCXXBX6ONW}

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	2026-05-18T01:10:37.764109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8138e5272b196aeaaa7280af70dfce6d982d3580a6f61be5a5fb643552665438

Aliases

arxiv: 1603.09156 · arxiv_version: 1603.09156v2 · doi: 10.48550/arxiv.1603.09156 · pith_short_12: QE4OKJZLDFVO · pith_short_16: QE4OKJZLDFVOVKTS · pith_short_8: QE4OKJZL

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/QE4OKJZLDFVOVKTSQCXXBX6ONW \
  | 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: 8138e5272b196aeaaa7280af70dfce6d982d3580a6f61be5a5fb643552665438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e7c6549c8623d9229f0cd9f54811f9928c77c6c5f3b200a890b3163e6d918b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-30T12:34:49Z",
    "title_canon_sha256": "cca451e4d78c9ee3114738cfa2795b6954d9c7ee164637a0f094ac7fb451b751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09156",
    "kind": "arxiv",
    "version": 2
  }
}