Pith Number

pith:IE4W2A4L

pith:2011:IE4W2A4LU5MMEPXH5CJV3ZTDTH

not attested not anchored not stored refs pending

Counting function of the embedded eigenvalues for some manifold with cusps, and magnetic Laplacian

Abderemane Morame (LMJL), Francoise Truc (IF)

arxiv:1109.1995 v2 · 2011-09-09 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IE4W2A4LU5MMEPXH5CJV3ZTDTH}

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	2026-05-18T03:39:05.389114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41396d038ba758c23ee7e8935de66399c0f64532859e7f60082f228f70b233ef

Aliases

arxiv: 1109.1995 · arxiv_version: 1109.1995v2 · doi: 10.48550/arxiv.1109.1995 · pith_short_12: IE4W2A4LU5MM · pith_short_16: IE4W2A4LU5MMEPXH · pith_short_8: IE4W2A4L

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/IE4W2A4LU5MMEPXH5CJV3ZTDTH \
  | 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: 41396d038ba758c23ee7e8935de66399c0f64532859e7f60082f228f70b233ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f96ef91f49ace277fe3b39c37b649533fbc25f2a36bb0d0872c40f91576f65b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-09T13:05:28Z",
    "title_canon_sha256": "dc9d8d32a63ff56cc4f5810591f45072a65e0ca64d47685cc76c0cee9ea020d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1995",
    "kind": "arxiv",
    "version": 2
  }
}