Pith Number

pith:U2G4IS2Q

pith:2014:U2G4IS2QT7VK4EP7Q5TEJDV7AW

not attested not anchored not stored refs pending

Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres

Valdir A. Menegatto, Victor S. Barbosa

arxiv:1410.4125 v2 · 2014-10-13 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2G4IS2QT7VK4EP7Q5TEJDV7AW}

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	2026-05-18T02:27:07.629927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a68dc44b509feaae11ff8766448ebf0594fdddfaf8ddf86a74d67c3a87c7452c

Aliases

arxiv: 1410.4125 · arxiv_version: 1410.4125v2 · doi: 10.48550/arxiv.1410.4125 · pith_short_12: U2G4IS2QT7VK · pith_short_16: U2G4IS2QT7VK4EP7 · pith_short_8: U2G4IS2Q

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/U2G4IS2QT7VK4EP7Q5TEJDV7AW \
  | 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: a68dc44b509feaae11ff8766448ebf0594fdddfaf8ddf86a74d67c3a87c7452c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fea5e309c888254de94dc84b10a87dd16c672bebd59b2cd644a40a4aa7436642",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-13T21:30:51Z",
    "title_canon_sha256": "192bc4cad17853b83509e5281771135be5fea6495b63cbd561ee89bc943ef0a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4125",
    "kind": "arxiv",
    "version": 2
  }
}