Pith Number

pith:XWCW53TI

pith:2015:XWCW53TIECJZWXTDMYUT4WSSQ4

not attested not anchored not stored refs pending

An extension of a theorem of Schoenberg to products of spheres

Ana P. Peron, J. C. Guella, V. A. Menegatto

arxiv:1503.08174 v1 · 2015-03-27 · 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{XWCW53TIECJZWXTDMYUT4WSSQ4}

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	2026-05-18T00:50:23.203598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd856eee6820939b5e6366293e5a5287301774888f38a8a8bfdd2f04abc22d55

Aliases

arxiv: 1503.08174 · arxiv_version: 1503.08174v1 · doi: 10.48550/arxiv.1503.08174 · pith_short_12: XWCW53TIECJZ · pith_short_16: XWCW53TIECJZWXTD · pith_short_8: XWCW53TI

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/XWCW53TIECJZWXTDMYUT4WSSQ4 \
  | 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: bd856eee6820939b5e6366293e5a5287301774888f38a8a8bfdd2f04abc22d55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b7f69721a7dd2812f346a028a280475b2e19359dcbce439620d41012110ba3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-27T18:25:07Z",
    "title_canon_sha256": "dc7c7b17a8f5ce57bea744be870ce19a79cb4d24bcc22b474c31c44ddc820a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08174",
    "kind": "arxiv",
    "version": 1
  }
}