Pith Number

pith:MTCU6L4X

pith:2016:MTCU6L4XLLIMIQWVLZGLY2CVJ6

not attested not anchored not stored refs pending

The generalized r-Whitney numbers

B. S. El-Desouky, Ethar M. Shokr, F. A. Shiha

arxiv:1606.04756 v1 · 2016-06-15 · 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{MTCU6L4XLLIMIQWVLZGLY2CVJ6}

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	2026-05-18T00:11:24.037480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c54f2f975ad0c442d55e4cbc68554fa16e438aef9d4c850cd982216a9a7687

Aliases

arxiv: 1606.04756 · arxiv_version: 1606.04756v1 · doi: 10.48550/arxiv.1606.04756 · pith_short_12: MTCU6L4XLLIM · pith_short_16: MTCU6L4XLLIMIQWV · pith_short_8: MTCU6L4X

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/MTCU6L4XLLIMIQWVLZGLY2CVJ6 \
  | 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: 64c54f2f975ad0c442d55e4cbc68554fa16e438aef9d4c850cd982216a9a7687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b46f90a2b052d560ff3f30c14c33c40fcc56da531b2e6b20673cd491c65208a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-15T13:32:31Z",
    "title_canon_sha256": "0f4dd4cd3453dc62f4cca017f6ed90e89dfb6d86adb4a35ebab1050b7c195dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04756",
    "kind": "arxiv",
    "version": 1
  }
}