Pith Number

pith:4B75BOAN

pith:2017:4B75BOANURDUZXYVAPOSFWNNA3

not attested not anchored not stored refs pending

A $q$-analogue of $\bar\alpha$-Whitney Numbers

B. S. El-Desouky, F. A. Shiha

arxiv:1702.02067 v1 · 2017-02-07 · 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{4B75BOANURDUZXYVAPOSFWNNA3}

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	2026-05-18T00:11:23.903815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07fd0b80da4474cdf1503dd22d9ad06f9b11cfcfbb0a3a0cb77e2de0d74c05f

Aliases

arxiv: 1702.02067 · arxiv_version: 1702.02067v1 · doi: 10.48550/arxiv.1702.02067 · pith_short_12: 4B75BOANURDU · pith_short_16: 4B75BOANURDUZXYV · pith_short_8: 4B75BOAN

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/4B75BOANURDUZXYVAPOSFWNNA3 \
  | 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: e07fd0b80da4474cdf1503dd22d9ad06f9b11cfcfbb0a3a0cb77e2de0d74c05f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ccd6e8ec8738225c7b2afd5640583cd1084fc396a23ad3fb10fe969690f2d2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-07T15:42:24Z",
    "title_canon_sha256": "8ca78a89292c93b9105d5734982d1dd6d02e1b8be9e1c8dc589bb04ce1aab2b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02067",
    "kind": "arxiv",
    "version": 1
  }
}