Pith Number

pith:WPE4GCZR

pith:2012:WPE4GCZRNHPITWGL4JCHWVSUDS

not attested not anchored not stored refs pending

DJKM algebras and non-classical orthogonal polynomials

Ben Cox, Juan A.Tirao, Vyacheslav Futorny

arxiv:1210.2129 v2 · 2012-10-08 · math.CA · math-ph · math.MP · 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{WPE4GCZRNHPITWGL4JCHWVSUDS}

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	2026-05-18T02:43:24.572040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c9c30b3169de89d8cbe2447b56541c9dd769b961e886779c4c60294495f09c

Aliases

arxiv: 1210.2129 · arxiv_version: 1210.2129v2 · doi: 10.48550/arxiv.1210.2129 · pith_short_12: WPE4GCZRNHPI · pith_short_16: WPE4GCZRNHPITWGL · pith_short_8: WPE4GCZR

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/WPE4GCZRNHPITWGL4JCHWVSUDS \
  | 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: b3c9c30b3169de89d8cbe2447b56541c9dd769b961e886779c4c60294495f09c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4122f805cd5226d4189fc112aa7a89d8de8658786d8bb8a7f5bda911181b7b13",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-08T01:31:01Z",
    "title_canon_sha256": "9df690a4b9550b51f0cf23c8791e4604416f88089d0b9df88eabc32ae69b7a77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2129",
    "kind": "arxiv",
    "version": 2
  }
}