Pith Number

pith:TNEDJQ7Z

pith:2016:TNEDJQ7Z5VIJZPYXFJULM4G63S

not attested not anchored not stored refs pending

Derivatives of isotropic positive definite functions on spheres

Johanna F. Ziegel, Mara Tr\"ubner

arxiv:1603.06727 v1 · 2016-03-22 · math.ST · math.CA · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNEDJQ7Z5VIJZPYXFJULM4G63S}

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	2026-05-18T01:18:34.847470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4834c3f9ed509cbf172a68b670dedcb47f4785b0de684b1f0699db68e039cb

Aliases

arxiv: 1603.06727 · arxiv_version: 1603.06727v1 · doi: 10.48550/arxiv.1603.06727 · pith_short_12: TNEDJQ7Z5VIJ · pith_short_16: TNEDJQ7Z5VIJZPYX · pith_short_8: TNEDJQ7Z

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/TNEDJQ7Z5VIJZPYXFJULM4G63S \
  | 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: 9b4834c3f9ed509cbf172a68b670dedcb47f4785b0de684b1f0699db68e039cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bbf8b631c3be6615e333e74ac6ce89d4a086ccae97da728e63a87db4b9278cd",
    "cross_cats_sorted": [
      "math.CA",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-03-22T10:35:14Z",
    "title_canon_sha256": "c45b7ed8b607f853a3d0dd1b3ad2695e998ae1e0424873e20aea25cc2ae35536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06727",
    "kind": "arxiv",
    "version": 1
  }
}