Pith Number

pith:BEHKJIZX

pith:2012:BEHKJIZXIYXQZB7JPFAZJJHJEC

not attested not anchored not stored refs pending

Plancherel_Rotach Asymptotics for q-Orthogonal Polynomials

Mourad E. H. Ismail, Xin Li

arxiv:1206.4737 v1 · 2012-06-20 · 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{BEHKJIZXIYXQZB7JPFAZJJHJEC}

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	2026-05-18T03:53:03.871432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090ea4a337462f0c87e9794194a4e9209870523db132ade4d7fc138a1b5893d4

Aliases

arxiv: 1206.4737 · arxiv_version: 1206.4737v1 · doi: 10.48550/arxiv.1206.4737 · pith_short_12: BEHKJIZXIYXQ · pith_short_16: BEHKJIZXIYXQZB7J · pith_short_8: BEHKJIZX

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/BEHKJIZXIYXQZB7JPFAZJJHJEC \
  | 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: 090ea4a337462f0c87e9794194a4e9209870523db132ade4d7fc138a1b5893d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "711c5307b92dd803fce754b84843de251ca4aecd05dd0cc69c3756b5275e6392",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-20T23:15:46Z",
    "title_canon_sha256": "f6c5dade27263c8b6775fb6b75f1911ad917f22c0fa6ab3fc01bae7759072035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4737",
    "kind": "arxiv",
    "version": 1
  }
}