Pith Number

pith:YKHLY4IM

pith:2017:YKHLY4IMRASVREXFZ5GAUTAV4S

not attested not anchored not stored refs pending

Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups

P. L. De N\'apoli, P. R. Stinga

arxiv:1709.00448 v2 · 2017-09-01 · math.AP · math.CA · math.DG · math.FA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKHLY4IMRASVREXFZ5GAUTAV4S}

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	2026-05-18T00:12:48.725369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c28ebc710c88255892e5cf4c0a4c15e4adfa175b27873747980cde73641f64a6

Aliases

arxiv: 1709.00448 · arxiv_version: 1709.00448v2 · doi: 10.48550/arxiv.1709.00448 · pith_short_12: YKHLY4IMRASV · pith_short_16: YKHLY4IMRASVREXF · pith_short_8: YKHLY4IM

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/YKHLY4IMRASVREXFZ5GAUTAV4S \
  | 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: c28ebc710c88255892e5cf4c0a4c15e4adfa175b27873747980cde73641f64a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eaf9e24c9b1131ac8a0aa0392b2de2ee87d6ff2d08ff380efcff0cbf1ea2768",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG",
      "math.FA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-01T19:09:00Z",
    "title_canon_sha256": "425a0eb2ab7d067d57c492fdb208ab5fc1423aa2618771bb28bb5ef98a9ef234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00448",
    "kind": "arxiv",
    "version": 2
  }
}