Pith Number

pith:OVOBQWTK

pith:2018:OVOBQWTKKRMCLG56OHFUZO5JT7

not attested not anchored not stored refs pending

Hadamard Asymptotics for Eigenvalues of the Dirichlet Laplacian

Johan Thim, Vladimir Kozlov

arxiv:1809.08580 v1 · 2018-09-23 · 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{OVOBQWTKKRMCLG56OHFUZO5JT7}

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	2026-05-18T00:05:04.040035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

755c185a6a5458259bbe71cb4cbba99fdd72fa3890628a8f4a8d66f5791d702a

Aliases

arxiv: 1809.08580 · arxiv_version: 1809.08580v1 · doi: 10.48550/arxiv.1809.08580 · pith_short_12: OVOBQWTKKRMC · pith_short_16: OVOBQWTKKRMCLG56 · pith_short_8: OVOBQWTK

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/OVOBQWTKKRMCLG56OHFUZO5JT7 \
  | 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: 755c185a6a5458259bbe71cb4cbba99fdd72fa3890628a8f4a8d66f5791d702a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0f7018494de89c84c1154e3831e506a92a4c9e5df8ddd70487afeb273f92ad6",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-23T11:40:20Z",
    "title_canon_sha256": "b5990e3409bbce8b5f5268b69f28a5a9e4ea63e770b0a649c97d68854fff50df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08580",
    "kind": "arxiv",
    "version": 1
  }
}