Pith Number

pith:IENIIGBN

pith:2012:IENIIGBNFMLIE6SQPM5HF3CZMW

not attested not anchored not stored refs pending

Classical and Sobolev Orthogonality of the Nonclassical Jacobi Polynomials with Parameters {\alpha}={\beta}=-1

Andrea Bruder, Lance Littlejohn

arxiv:1205.5085 v1 · 2012-05-23 · math.CA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IENIIGBNFMLIE6SQPM5HF3CZMW}

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	2026-05-18T03:55:02.247086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

411a84182d2b16827a507b3a72ec5965ad0c264f46fceb9c7db46b5a9109aa68

Aliases

arxiv: 1205.5085 · arxiv_version: 1205.5085v1 · doi: 10.48550/arxiv.1205.5085 · pith_short_12: IENIIGBNFMLI · pith_short_16: IENIIGBNFMLIE6SQ · pith_short_8: IENIIGBN

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/IENIIGBNFMLIE6SQPM5HF3CZMW \
  | 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: 411a84182d2b16827a507b3a72ec5965ad0c264f46fceb9c7db46b5a9109aa68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6242ad3f4d22185d2a5a12bed9a3b2845811ea4dec87ee9727e408bd6765c068",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-23T02:37:41Z",
    "title_canon_sha256": "458d9cde2460db07004be560025923e93bd66be39e1b030b787c10e7383f364e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5085",
    "kind": "arxiv",
    "version": 1
  }
}