Pith Number

pith:IM3GKAGQ

pith:2014:IM3GKAGQ3VA3CMRFPZ5QBHN6EH

not attested not anchored not stored refs pending

The multivariate Hahn polynomials and the singular oscillator

Luc Vinet, Vincent X. Genest

arxiv:1406.6719 v3 · 2014-06-25 · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IM3GKAGQ3VA3CMRFPZ5QBHN6EH}

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	2026-05-18T01:42:50.175390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43366500d0dd41b132257e7b009dbe21f8013c966df311da912c516e0fd1f5f8

Aliases

arxiv: 1406.6719 · arxiv_version: 1406.6719v3 · doi: 10.48550/arxiv.1406.6719 · pith_short_12: IM3GKAGQ3VA3 · pith_short_16: IM3GKAGQ3VA3CMRF · pith_short_8: IM3GKAGQ

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/IM3GKAGQ3VA3CMRFPZ5QBHN6EH \
  | 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: 43366500d0dd41b132257e7b009dbe21f8013c966df311da912c516e0fd1f5f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f0ee6c435fdf5539c8342b599785f8e8ccb4e2ae152666fa7fd65259d699121",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-25T21:43:01Z",
    "title_canon_sha256": "d7a152669cd4bc79b439fec47146480abcc2bbae7510a4c9db1a37296787682f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6719",
    "kind": "arxiv",
    "version": 3
  }
}