Pith Number

pith:YQVC2LEA

pith:2014:YQVC2LEALAI7KH3JEZXGHTC5F2

not attested not anchored not stored refs pending

A surgery result for the spectrum of the Dirichlet Laplacian

Dario Mazzoleni, Dorin Bucur

arxiv:1410.5179 v1 · 2014-10-20 · math.OC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQVC2LEALAI7KH3JEZXGHTC5F2}

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	2026-05-18T02:39:46.668633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c42a2d2c805811f51f69266e63cc5d2e97051f1ae1c64dc7f1e11b3054459166

Aliases

arxiv: 1410.5179 · arxiv_version: 1410.5179v1 · doi: 10.48550/arxiv.1410.5179 · pith_short_12: YQVC2LEALAI7 · pith_short_16: YQVC2LEALAI7KH3J · pith_short_8: YQVC2LEA

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/YQVC2LEALAI7KH3JEZXGHTC5F2 \
  | 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: c42a2d2c805811f51f69266e63cc5d2e97051f1ae1c64dc7f1e11b3054459166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9dc63cec27d518892d145855d1c20abb3bea72bf681b9bb47b1d17307edaa5f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-10-20T08:04:06Z",
    "title_canon_sha256": "e495d9b15a43e42e44d811ee5a65f38146ce615e9b3b194c614788e061167c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5179",
    "kind": "arxiv",
    "version": 1
  }
}