Pith Number

pith:2VFSEYKT

pith:2013:2VFSEYKTMMMRBKLBL4LYNT3AHO

not attested not anchored not stored refs pending

Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk

Antonio J. Dur\'an, Manuel D. de la Iglesia

arxiv:1307.1326 v1 · 2013-07-04 · 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{2VFSEYKTMMMRBKLBL4LYNT3AHO}

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	2026-05-18T03:19:14.070562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d54b226153631910a9615f1786cf603b94445089e0743e9c8075d6297f9d674a

Aliases

arxiv: 1307.1326 · arxiv_version: 1307.1326v1 · doi: 10.48550/arxiv.1307.1326 · pith_short_12: 2VFSEYKTMMMR · pith_short_16: 2VFSEYKTMMMRBKLB · pith_short_8: 2VFSEYKT

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/2VFSEYKTMMMRBKLBL4LYNT3AHO \
  | 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: d54b226153631910a9615f1786cf603b94445089e0743e9c8075d6297f9d674a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adb88098f52f17c20f93a5d5e5846397c2ee20769b442fbd89c38f9ccb30246b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-04T13:41:15Z",
    "title_canon_sha256": "c022bd9af25a5ec23e0ac691b924a66b7cdcb56ad43c1a5bb22db66a8cd15614"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1326",
    "kind": "arxiv",
    "version": 1
  }
}