Pith Number

pith:AWTJWOPK

pith:2015:AWTJWOPKZC6E2YBBO3PJPJGM4G

not attested not anchored not stored refs pending

Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants

Alan A. Sola, Catherine B\'en\'eteau, Constanze Liaw, Daniel Seco, Dmitry Khavinson

arxiv:1509.04807 v2 · 2015-09-16 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWTJWOPKZC6E2YBBO3PJPJGM4G}

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	2026-05-18T00:54:09.065696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a69b39eac8bc4d602176de97a4cce1a1e2d8a6bf97d3e5729de070baf2681a

Aliases

arxiv: 1509.04807 · arxiv_version: 1509.04807v2 · doi: 10.48550/arxiv.1509.04807 · pith_short_12: AWTJWOPKZC6E · pith_short_16: AWTJWOPKZC6E2YBB · pith_short_8: AWTJWOPK

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/AWTJWOPKZC6E2YBBO3PJPJGM4G \
  | 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: 05a69b39eac8bc4d602176de97a4cce1a1e2d8a6bf97d3e5729de070baf2681a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fd3b9b3e57de556150b3e623b09abd9c0e781e41914d83a1c57c5ecaa128923",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-16T04:04:57Z",
    "title_canon_sha256": "d395518a52d95e2a97f1d93a4cbc9db4b698b5ddff4e49eb21d181aafd8ff0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04807",
    "kind": "arxiv",
    "version": 2
  }
}