Pith Number

pith:ZPHJUMZX

pith:2026:ZPHJUMZXYMGHSUOWAOYWXDVMWJ

not attested not anchored not stored refs pending

On generating functions and Mehler--Heine formulas for discrete Charlier and Meixner Sobolev-type orthogonal polynomials

Anier Soria Lorente, Junior Michel

arxiv:2607.12889 v1 · 2026-07-14 · 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{ZPHJUMZXYMGHSUOWAOYWXDVMWJ}

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	2026-07-15T01:22:23.434872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbce9a3337c30c7951d603b16b8eacb2447f7f18841f89256234a855b28a77e9

Aliases

arxiv: 2607.12889 · arxiv_version: 2607.12889v1 · doi: 10.48550/arxiv.2607.12889 · pith_short_12: ZPHJUMZXYMGH · pith_short_16: ZPHJUMZXYMGHSUOW · pith_short_8: ZPHJUMZX

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/ZPHJUMZXYMGHSUOWAOYWXDVMWJ \
  | 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: cbce9a3337c30c7951d603b16b8eacb2447f7f18841f89256234a855b28a77e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ee5664d2478f2097722e24908b305ef1bd7a1ec87ac29d68c8106351fa1e93",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-14T15:32:54Z",
    "title_canon_sha256": "353557b5bc6d8c8080253ac815971d1bd48d9c76f9b6eec69de97bb72879134e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12889",
    "kind": "arxiv",
    "version": 1
  }
}