Pith Number

pith:FO27U2AM

pith:2018:FO27U2AMDHS63MSBD2QPBCHRTD

not attested not anchored not stored refs pending

Zernike Polynomials: Evaluation, Quadrature, and Interpolation

Kirill Serkh, Philip Greengard

arxiv:1811.02720 v1 · 2018-11-07 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FO27U2AMDHS63MSBD2QPBCHRTD}

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	2026-05-18T00:01:20.953267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb5fa680c19e5edb2411ea0f088f198fef8ea6e0fa5318501200d6a5627ff49

Aliases

arxiv: 1811.02720 · arxiv_version: 1811.02720v1 · doi: 10.48550/arxiv.1811.02720 · pith_short_12: FO27U2AMDHS6 · pith_short_16: FO27U2AMDHS63MSB · pith_short_8: FO27U2AM

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/FO27U2AMDHS63MSBD2QPBCHRTD \
  | 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: 2bb5fa680c19e5edb2411ea0f088f198fef8ea6e0fa5318501200d6a5627ff49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f2dbc6f4346a3711c70f8a1ba22775c61e6c93b4c953145aad12607ddf3190",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-11-07T01:44:54Z",
    "title_canon_sha256": "e467bf56b876005182eda94de9a2b42b921e56445124100a6b07c0907aaf5819"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02720",
    "kind": "arxiv",
    "version": 1
  }
}