Pith Number

pith:3LOBGPQW

pith:2019:3LOBGPQWDT5ALQGLBDT5LSXLWL

not attested not anchored not stored refs pending

Lifschitz tail for alloy-type models driven by the fractional Laplacian

Kamil Kaleta, Katarzyna Pietruska-Pa{\l}uba

arxiv:1906.03419 v1 · 2019-06-08 · math.PR · math-ph · math.FA · math.MP · 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{3LOBGPQWDT5ALQGLBDT5LSXLWL}

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	2026-05-17T23:43:48.536958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dadc133e161cfa05c0cb08e7d5caebb2ef9ebee1df45bc6c7877bb68aa523baa

Aliases

arxiv: 1906.03419 · arxiv_version: 1906.03419v1 · doi: 10.48550/arxiv.1906.03419 · pith_short_12: 3LOBGPQWDT5A · pith_short_16: 3LOBGPQWDT5ALQGL · pith_short_8: 3LOBGPQW

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/3LOBGPQWDT5ALQGLBDT5LSXLWL \
  | 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: dadc133e161cfa05c0cb08e7d5caebb2ef9ebee1df45bc6c7877bb68aa523baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce8750387bbefe0af57bebf0ac53971ba0b18675c3d971840d34e1a1ee741da",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-08T08:46:07Z",
    "title_canon_sha256": "af86569e5eec77bfdfae9b1a275cda004f3c8d0d098f18dc3b57ad219a496e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03419",
    "kind": "arxiv",
    "version": 1
  }
}