Pith Number

pith:BYY7FGLG

pith:2016:BYY7FGLGZ5UE66WXDZRHRRUUYI

not attested not anchored not stored refs pending

Minimal energy problems for strongly singular Riesz kernels

Helmut Harbrecht, Natalia Zorii, Wolfgang L. Wendland

arxiv:1602.08544 v1 · 2016-02-27 · math.CA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYY7FGLGZ5UE66WXDZRHRRUUYI}

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	2026-05-18T01:19:52.528661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e31f29966cf684f7ad71e6278c694c23f6d31ddd595f0b380b14b8fe70361e5

Aliases

arxiv: 1602.08544 · arxiv_version: 1602.08544v1 · doi: 10.48550/arxiv.1602.08544 · pith_short_12: BYY7FGLGZ5UE · pith_short_16: BYY7FGLGZ5UE66WX · pith_short_8: BYY7FGLG

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/BYY7FGLGZ5UE66WXDZRHRRUUYI \
  | 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: 0e31f29966cf684f7ad71e6278c694c23f6d31ddd595f0b380b14b8fe70361e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d348473d57b022b6bd0f15bb6ef5ecc44ddb5b961d25122e992d9202061e958",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-27T02:29:49Z",
    "title_canon_sha256": "1733d4e538aa2164d759e4ab8fcbbd1f0bc791632d4021f164c05e17387551eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08544",
    "kind": "arxiv",
    "version": 1
  }
}