Pith Number

pith:SNMHZELR

pith:2019:SNMHZELRGMBKP53TU4KUWT6SJ2

not attested not anchored not stored refs pending

On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains--with some numerics--

Bernard Helffer, Corentin L\'ena, Fran\c{c}ois Jauberteau, Thomas Hoffmann-Ostenhof

arxiv:1903.05998 v1 · 2019-03-14 · 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{SNMHZELRGMBKP53TU4KUWT6SJ2}

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	2026-05-17T23:51:15.618778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93587c91713302a7f773a7154b4fd24e96fa6d353195ee9e077f27621bd1ede6

Aliases

arxiv: 1903.05998 · arxiv_version: 1903.05998v1 · doi: 10.48550/arxiv.1903.05998 · pith_short_12: SNMHZELRGMBK · pith_short_16: SNMHZELRGMBKP53T · pith_short_8: SNMHZELR

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/SNMHZELRGMBKP53TU4KUWT6SJ2 \
  | 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: 93587c91713302a7f773a7154b4fd24e96fa6d353195ee9e077f27621bd1ede6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eb33a3fd2dbabc4dc13ee53f4dec557e5d2f4253f0530b50ada32f2ca21db88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-03-14T13:50:42Z",
    "title_canon_sha256": "a362fcb940d8a554b6a047f37b0a3bc22de2a2e32e664d719f9a714303838910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05998",
    "kind": "arxiv",
    "version": 1
  }
}