Pith Number

pith:JPIYFNW7

pith:2016:JPIYFNW7KVNBSPDVF7A22KYREX

not attested not anchored not stored refs pending

P\'olya's conjecture fails for the fractional Laplacian

Bart{\l}omiej A. Siudeja, Mateusz Kwa\'snicki, Richard S. Laugesen

arxiv:1608.06905 v1 · 2016-08-24 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPIYFNW7KVNBSPDVF7A22KYREX}

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	2026-05-18T01:07:56.449502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd182b6df555a193c752fc1ad2b1125dcd8d1abe29a358dcf209cea7ccaa56e

Aliases

arxiv: 1608.06905 · arxiv_version: 1608.06905v1 · doi: 10.48550/arxiv.1608.06905 · pith_short_12: JPIYFNW7KVNB · pith_short_16: JPIYFNW7KVNBSPDV · pith_short_8: JPIYFNW7

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/JPIYFNW7KVNBSPDVF7A22KYREX \
  | 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: 4bd182b6df555a193c752fc1ad2b1125dcd8d1abe29a358dcf209cea7ccaa56e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8403c67aca6c6f378679dc62864b3965700326f98090336de9b99736bfd44084",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-08-24T17:28:46Z",
    "title_canon_sha256": "c2b682f4ab74bd72c7fcb57fb47b56c990e2f2d43b93f17f21fb394c20b5d9cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06905",
    "kind": "arxiv",
    "version": 1
  }
}