Pith Number

pith:CZXMLMPT

pith:2012:CZXMLMPTLPPQPXUZLRMGO3RTWT

not attested not anchored not stored refs pending

Eigenfunctions of the Cosine and Sine Transforms

Victor Katsnelson

arxiv:1203.2427 v3 · 2012-03-12 · 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{CZXMLMPTLPPQPXUZLRMGO3RTWT}

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	2026-05-18T03:37:53.010559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166ec5b1f35bdf07de995c58676e33b4c3862359b2803a1a4ca8c05f5a5d1a13

Aliases

arxiv: 1203.2427 · arxiv_version: 1203.2427v3 · doi: 10.48550/arxiv.1203.2427 · pith_short_12: CZXMLMPTLPPQ · pith_short_16: CZXMLMPTLPPQPXUZ · pith_short_8: CZXMLMPT

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/CZXMLMPTLPPQPXUZLRMGO3RTWT \
  | 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: 166ec5b1f35bdf07de995c58676e33b4c3862359b2803a1a4ca8c05f5a5d1a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fbf8bb726729ddde188574f8a23844d283b3c2dcea7d9314d7bca570bd790bc",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-12T09:11:18Z",
    "title_canon_sha256": "5915da6abd1f50170b765a473ac978fb63e8958d068b81416d28ac7919f31cc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2427",
    "kind": "arxiv",
    "version": 3
  }
}