Pith Number

pith:RVOCYBDZ

pith:2026:RVOCYBDZ5XBPZARP7RWF77MU2U

not attested not anchored not stored refs pending

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula

Lahcen Oussi, Matthias Schork, Toufik Mansour

arxiv:2607.11693 v1 · 2026-07-13 · 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{RVOCYBDZ5XBPZARP7RWF77MU2U}

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	2026-07-14T02:22:19.378562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d5c2c0479edc2fc822ffc6c5ffd94d535c4c052e4818aafaf22d2a4f53670c9

Aliases

arxiv: 2607.11693 · arxiv_version: 2607.11693v1 · doi: 10.48550/arxiv.2607.11693 · pith_short_12: RVOCYBDZ5XBP · pith_short_16: RVOCYBDZ5XBPZARP · pith_short_8: RVOCYBDZ

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/RVOCYBDZ5XBPZARP7RWF77MU2U \
  | 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: 8d5c2c0479edc2fc822ffc6c5ffd94d535c4c052e4818aafaf22d2a4f53670c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ffdf2e15fb5e1bc315a0975d2af167dcddfebeb1f0078dadeeab3e26263524a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-13T15:26:31Z",
    "title_canon_sha256": "d6de5ce8f22d9979fcb0764c246a288a0a8255f2445b4608b2cd898f03eef10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11693",
    "kind": "arxiv",
    "version": 1
  }
}