Pith Number

pith:PC2TF5NM

pith:2007:PC2TF5NMXM4HJRNMZEIY7HT73L

not attested not anchored not stored refs pending

Probabilistic implications of symmetries of q-Hermite and Al-Salam-Chihara polynomials

Pawe{\l} J. Szab{\l}owski

arxiv:0708.0563 v2 · 2007-08-03 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PC2TF5NMXM4HJRNMZEIY7HT73L}

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	2026-05-18T03:49:09.511272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b532f5acbb3874c5acc9118f9e7fdafbe02f0d4bdad75b2bfccce7728fc053

Aliases

arxiv: 0708.0563 · arxiv_version: 0708.0563v2 · doi: 10.48550/arxiv.0708.0563 · pith_short_12: PC2TF5NMXM4H · pith_short_16: PC2TF5NMXM4HJRNM · pith_short_8: PC2TF5NM

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/PC2TF5NMXM4HJRNMZEIY7HT73L \
  | 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: 78b532f5acbb3874c5acc9118f9e7fdafbe02f0d4bdad75b2bfccce7728fc053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa74e7852ffbc3595e158dee597620b67b0042a1ab1d0a453669b87966a666ce",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-08-03T18:50:33Z",
    "title_canon_sha256": "bd907ba1d76a7a73c9e66f53928c4ab64fb0cdddea47e8e916614760eaac6e06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0563",
    "kind": "arxiv",
    "version": 2
  }
}