Pith Number

pith:DA5HX23S

pith:2012:DA5HX23S4A5WDUKAQKGPKGG3UM

not attested not anchored not stored refs pending

Bispectral extensions of the Askey-Wilson polynomials

Plamen Iliev

arxiv:1212.0137 v2 · 2012-12-01 · math.QA · 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{DA5HX23S4A5WDUKAQKGPKGG3UM}

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	2026-05-18T03:02:21.228227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

183a7beb72e03b61d140828cf518dba339bb984d97034757bf67040c9e035e03

Aliases

arxiv: 1212.0137 · arxiv_version: 1212.0137v2 · doi: 10.48550/arxiv.1212.0137 · pith_short_12: DA5HX23S4A5W · pith_short_16: DA5HX23S4A5WDUKA · pith_short_8: DA5HX23S

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/DA5HX23S4A5WDUKAQKGPKGG3UM \
  | 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: 183a7beb72e03b61d140828cf518dba339bb984d97034757bf67040c9e035e03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "085aa389bbc59a572ec347a22a6649a117cc0601bc169cf04fae3f4e20138dac",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-12-01T17:40:31Z",
    "title_canon_sha256": "663c6f0cb90b04efc3b310da625b28bf39535b917d06dc7719f03727cd538e99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0137",
    "kind": "arxiv",
    "version": 2
  }
}