pith. sign in
Pith Number

pith:7KIYHMWO

pith:2015:7KIYHMWO73JFWSO6UKUE54GTYI
not attested not anchored not stored refs pending

Optimal sampling patterns for Zernike polynomials

A. Martinez-Finkelshtein, D. Ramos-Lopez, M. A. Sanchez-Granero, M. Fernandez-Martinez

arxiv:1511.00449 v1 · 2015-11-02 · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7KIYHMWO73JFWSO6UKUE54GTYI}

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 2026-05-18T00:10:52.450876Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fa9183b2cefed25b49dea2a84ef0d3c20263f0f96d7d92bc453d8da84efe1f16

Aliases

arxiv: 1511.00449 · arxiv_version: 1511.00449v1 · doi: 10.48550/arxiv.1511.00449 · pith_short_12: 7KIYHMWO73JF · pith_short_16: 7KIYHMWO73JFWSO6 · pith_short_8: 7KIYHMWO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7KIYHMWO73JFWSO6UKUE54GTYI \
  | 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: fa9183b2cefed25b49dea2a84ef0d3c20263f0f96d7d92bc453d8da84efe1f16
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "92a02eab43eedf57fe20219df6cde6ad28803050d1b1977335bf60c926ceefa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-02T11:29:29Z",
    "title_canon_sha256": "f48536e5d16a4f17ff98158b381558e86b3f367e236e8ae0ff73c527c0d08080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00449",
    "kind": "arxiv",
    "version": 1
  }
}