Pith Number

pith:PFSJL3ST

pith:2012:PFSJL3ST6VEFUFNCFUM45IETYK

not attested not anchored not stored refs pending

Multidimensional Heisenberg convolutions and product formulas for multivariate Laguerre polynomials

Michael Voit

arxiv:1201.3776 v1 · 2012-01-18 · math.CA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFSJL3ST6VEFUFNCFUM45IETYK}

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	2026-05-18T04:04:18.054993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

796495ee53f5485a15a22d19cea093c2b768e5a9cbe6669374550bf3fa6922fb

Aliases

arxiv: 1201.3776 · arxiv_version: 1201.3776v1 · doi: 10.48550/arxiv.1201.3776 · pith_short_12: PFSJL3ST6VEF · pith_short_16: PFSJL3ST6VEFUFNC · pith_short_8: PFSJL3ST

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/PFSJL3ST6VEFUFNCFUM45IETYK \
  | 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: 796495ee53f5485a15a22d19cea093c2b768e5a9cbe6669374550bf3fa6922fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d95345802984b6aabf615b19cdbd332e900f2461d3c54c66421635dd771acbd",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-18T13:02:32Z",
    "title_canon_sha256": "e50ffc17f9cba30be425cd113c2f1ab4ede829e7d8e1a00356ca14ca3fd96bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3776",
    "kind": "arxiv",
    "version": 1
  }
}