Pith Number

pith:BZOZZ7ZN

pith:2013:BZOZZ7ZN2KLTSIVLHL5C5PIIZM

not attested not anchored not stored refs pending

A short proof of Weyl's law for fractional differential operators

Leander Geisinger

arxiv:1309.1867 v1 · 2013-09-07 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZOZZ7ZN2KLTSIVLHL5C5PIIZM}

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	2026-05-18T01:47:48.754542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e5d9cff2dd2973922ab3afa2ebd08cb23c3263dca3520a49d524108b8686563

Aliases

arxiv: 1309.1867 · arxiv_version: 1309.1867v1 · doi: 10.48550/arxiv.1309.1867 · pith_short_12: BZOZZ7ZN2KLT · pith_short_16: BZOZZ7ZN2KLTSIVL · pith_short_8: BZOZZ7ZN

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/BZOZZ7ZN2KLTSIVLHL5C5PIIZM \
  | 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: 0e5d9cff2dd2973922ab3afa2ebd08cb23c3263dca3520a49d524108b8686563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce61c45e5ad16438b1a28ea621382ea6c748bfe6c174b988a33fe67e5a84180c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-09-07T13:39:41Z",
    "title_canon_sha256": "2da81a60b78b4cfb4a284d413d946798c8a67c8810e2a5de9cb7612bfd1f54e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1867",
    "kind": "arxiv",
    "version": 1
  }
}