Pith Number

pith:J7SZJTIB

pith:2013:J7SZJTIBVH7NOJZ7J5DMEHCGJC

not attested not anchored not stored refs pending

Using $\D$-operators to construct orthogonal polynomials satisfying higher order difference or differential equations

Antonio J. Dur\'an

arxiv:1302.0881 v1 · 2013-02-04 · 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{J7SZJTIBVH7NOJZ7J5DMEHCGJC}

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	2026-05-18T03:34:26.872523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe594cd01a9fed7273f4f46c21c46488b9b8d0e30391377cfcc848a64c66f0d

Aliases

arxiv: 1302.0881 · arxiv_version: 1302.0881v1 · doi: 10.48550/arxiv.1302.0881 · pith_short_12: J7SZJTIBVH7N · pith_short_16: J7SZJTIBVH7NOJZ7 · pith_short_8: J7SZJTIB

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/J7SZJTIBVH7NOJZ7J5DMEHCGJC \
  | 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: 4fe594cd01a9fed7273f4f46c21c46488b9b8d0e30391377cfcc848a64c66f0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fddca9e702798ad5eb0bad74ac69354c9adc327552f56cf8c70862b3f16c0f94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-02-04T21:53:36Z",
    "title_canon_sha256": "38abbe6d7fa23cd73783e37838f28bba3ba3381f54809967a1d36581c912bb07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0881",
    "kind": "arxiv",
    "version": 1
  }
}