Pith Number

pith:4QWVVY5E

pith:2013:4QWVVY5EI6BMY6VEM6IOICD74M

not attested not anchored not stored refs pending

Inequalities and bounds for the eigenvalues of the sub-Laplacian on a strictly pseudoconvex CR manifold

Ahmad El Soufi (LMPT), Amine Aribi (LMPT)

arxiv:1301.6493 v1 · 2013-01-28 · math.MG · math.DG · 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{4QWVVY5EI6BMY6VEM6IOICD74M}

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	2026-05-18T03:35:15.168061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e42d5ae3a44782cc7aa46790e4087fe308f5baa51223cf3d9604f5ec10b4b545

Aliases

arxiv: 1301.6493 · arxiv_version: 1301.6493v1 · doi: 10.48550/arxiv.1301.6493 · pith_short_12: 4QWVVY5EI6BM · pith_short_16: 4QWVVY5EI6BMY6VE · pith_short_8: 4QWVVY5E

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/4QWVVY5EI6BMY6VEM6IOICD74M \
  | 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: e42d5ae3a44782cc7aa46790e4087fe308f5baa51223cf3d9604f5ec10b4b545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c99485e3348996b0af814f585b8528d04eb34ce92edac4d545328ee83b49a047",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-01-28T09:47:13Z",
    "title_canon_sha256": "27c89f70ec6d0e46ad5ad41edb19f0e638220d7a666c4c3ddc1a82da42ec7378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6493",
    "kind": "arxiv",
    "version": 1
  }
}