Pith Number

pith:LNH7YMC3

pith:2015:LNH7YMC3EZI2OGYM4RL73UNBWG

not attested not anchored not stored refs pending

Eigenvalues of the fractional Laplace operator in the unit ball

Alexey Kuznetsov, Bart{\l}omiej Dyda, Mateusz Kwa\'snicki

arxiv:1509.08533 v2 · 2015-09-28 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNH7YMC3EZI2OGYM4RL73UNBWG}

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	2026-05-18T00:44:25.167363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b4ffc305b2651a71b0ce457fdd1a1b198c0d8576ce0d40c81fd34c83e4b74df

Aliases

arxiv: 1509.08533 · arxiv_version: 1509.08533v2 · doi: 10.48550/arxiv.1509.08533 · pith_short_12: LNH7YMC3EZI2 · pith_short_16: LNH7YMC3EZI2OGYM · pith_short_8: LNH7YMC3

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/LNH7YMC3EZI2OGYM4RL73UNBWG \
  | 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: 5b4ffc305b2651a71b0ce457fdd1a1b198c0d8576ce0d40c81fd34c83e4b74df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bc3ccaace394aa79e4611c350c8fce0428ee5e0381c4880c45eff09a2368254",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-28T22:53:38Z",
    "title_canon_sha256": "ddbb1ecf5d5b857c32701fb05ccbea67b873cb537dc1a341deb8871da941f966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08533",
    "kind": "arxiv",
    "version": 2
  }
}