Pith Number

pith:LEAIFVWZ

pith:2008:LEAIFVWZO3EW3OOHUDMLU4OCMW

not attested not anchored not stored refs pending

Bispectral commuting difference operators for multivariable Askey-Wilson polynomials

Plamen Iliev

arxiv:0801.4939 v3 · 2008-01-31 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEAIFVWZO3EW3OOHUDMLU4OCMW}

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	2026-05-18T03:56:23.167639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

590082d6d976c96db9c7a0d8ba71c265a94478e99cf514d7642ee7ad8d31f3b4

Aliases

arxiv: 0801.4939 · arxiv_version: 0801.4939v3 · doi: 10.48550/arxiv.0801.4939 · pith_short_12: LEAIFVWZO3EW · pith_short_16: LEAIFVWZO3EW3OOH · pith_short_8: LEAIFVWZ

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/LEAIFVWZO3EW3OOHUDMLU4OCMW \
  | 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: 590082d6d976c96db9c7a0d8ba71c265a94478e99cf514d7642ee7ad8d31f3b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6f7e7b9f313c7ae99c6d519d68a9d0d11036a9f0106979417b88c1cea078d67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-01-31T18:14:22Z",
    "title_canon_sha256": "1023d9e33a911dde5094af826ee0ab9c585d73565017ed1f4682c62e50efe10b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4939",
    "kind": "arxiv",
    "version": 3
  }
}