Pith Number

pith:QEBCQIXH

pith:2015:QEBCQIXHS4MN5NV43YYIMITTJN

not attested not anchored not stored refs pending

Strictly positive definite kernels on a product of spheres

Jean C. Guella, Valdir A. Menegatto

arxiv:1505.03695 v1 · 2015-05-14 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QEBCQIXHS4MN5NV43YYIMITTJN}

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	2026-05-18T02:09:53.285181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81022822e79718deb6bcde308622734b576d9ae1baf79a83099dd4c5344cc4bb

Aliases

arxiv: 1505.03695 · arxiv_version: 1505.03695v1 · doi: 10.48550/arxiv.1505.03695 · pith_short_12: QEBCQIXHS4MN · pith_short_16: QEBCQIXHS4MN5NV4 · pith_short_8: QEBCQIXH

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/QEBCQIXHS4MN5NV43YYIMITTJN \
  | 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: 81022822e79718deb6bcde308622734b576d9ae1baf79a83099dd4c5344cc4bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcdeb35bca825da3a655ef791815a2fc78ed4161c51c642a96e0fad3edcecae6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-14T11:47:22Z",
    "title_canon_sha256": "3897a8e26fb0b44d9ce1092d255027a361085e678ec8450491a92dc021724772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03695",
    "kind": "arxiv",
    "version": 1
  }
}