Pith Number

pith:NV5UU55W

pith:2014:NV5UU55WCNUP4UPKGDYJ4SH5U6

not attested not anchored not stored refs pending

Extremal Eigenvalues of the Laplacian on Euclidean domains and closed surfaces

Ahmad El Soufi (LMPT), Bruno Colbois

arxiv:1403.1993 v1 · 2014-03-08 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NV5UU55WCNUP4UPKGDYJ4SH5U6}

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	2026-05-18T02:42:46.380145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d7b4a77b61368fe51ea30f09e48fda7bdd3a36fcdd95aeaf12f75784486452b

Aliases

arxiv: 1403.1993 · arxiv_version: 1403.1993v1 · doi: 10.48550/arxiv.1403.1993 · pith_short_12: NV5UU55WCNUP · pith_short_16: NV5UU55WCNUP4UPK · pith_short_8: NV5UU55W

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/NV5UU55WCNUP4UPKGDYJ4SH5U6 \
  | 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: 6d7b4a77b61368fe51ea30f09e48fda7bdd3a36fcdd95aeaf12f75784486452b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cbd758dd30f2ccc86b43aaa17fd312e27abd2d11e0dd3233b6dde42b49c8497",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-03-08T18:15:08Z",
    "title_canon_sha256": "8a8c25b87239659fe4b734b03df10aacaca063b4e1256e33df544cd61336fe6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1993",
    "kind": "arxiv",
    "version": 1
  }
}