Pith Number

pith:JRBRIRGT

pith:2017:JRBRIRGTPVUT2UKISHSHAET54B

not attested not anchored not stored refs pending

A Note on Some Approximation Kernels on the Sphere

Peter J. Grabner

arxiv:1706.09456 v1 · 2017-06-28 · 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{JRBRIRGTPVUT2UKISHSHAET54B}

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	2026-05-18T00:41:17.245996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c431444d37d693d514891e470127de05f2949d3062ce486da8c2234ab2c0a40

Aliases

arxiv: 1706.09456 · arxiv_version: 1706.09456v1 · doi: 10.48550/arxiv.1706.09456 · pith_short_12: JRBRIRGTPVUT · pith_short_16: JRBRIRGTPVUT2UKI · pith_short_8: JRBRIRGT

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/JRBRIRGTPVUT2UKISHSHAET54B \
  | 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: 4c431444d37d693d514891e470127de05f2949d3062ce486da8c2234ab2c0a40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e1a8b35423e1ecf477923ee12638c53708b003ed63b4dffbb632b2287f0acc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-28T19:50:06Z",
    "title_canon_sha256": "c7b406e91817a1312eafe236ed8bdca410f95c792eb337d3aaa0057ca0c95a3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09456",
    "kind": "arxiv",
    "version": 1
  }
}