Pith Number

pith:VP5HPMX7

pith:2018:VP5HPMX7GEE3ZFVVERQX27SUGH

not attested not anchored not stored refs pending

Linearization and Krein-like functionals of hypergeometric orthogonal polynomials

I.V. Toranzo, J. J. Moreno-Balc\'azar, J.S. Dehesa

arxiv:1812.07231 v1 · 2018-12-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VP5HPMX7GEE3ZFVVERQX27SUGH}

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	2026-05-17T23:55:18.759458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abfa77b2ff3109bc96b524617d7e5431c2f7c21c34c4d49327da65eb64f1c24c

Aliases

arxiv: 1812.07231 · arxiv_version: 1812.07231v1 · doi: 10.48550/arxiv.1812.07231 · pith_short_12: VP5HPMX7GEE3 · pith_short_16: VP5HPMX7GEE3ZFVV · pith_short_8: VP5HPMX7

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/VP5HPMX7GEE3ZFVVERQX27SUGH \
  | 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: abfa77b2ff3109bc96b524617d7e5431c2f7c21c34c4d49327da65eb64f1c24c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db3f1041a8c52d43e54dc7c14654672df1d8adf10878dbf20ef11b74527113b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-18T08:39:27Z",
    "title_canon_sha256": "8a24906bd1782f7292a5a270a77480d54b833ac5e5ba32158bf67a96055d6366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07231",
    "kind": "arxiv",
    "version": 1
  }
}