Pith Number

pith:GMPKO6KG

pith:2011:GMPKO6KG5RDTLPC2TPFRONE662

not attested not anchored not stored refs pending

Asymptotic Density of Eigenvalue Clusters for the Perturbed Landau Hamiltonian

Alexander Pushnitski, Carlos Villegas-Blas, Georgi Raikov

arxiv:1110.3098 v2 · 2011-10-14 · 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{GMPKO6KG5RDTLPC2TPFRONE662}

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	2026-05-18T02:00:12.503881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

331ea77946ec4735bc5a9bcb17349ef6809208077a973556f5ce729f5c6a2326

Aliases

arxiv: 1110.3098 · arxiv_version: 1110.3098v2 · doi: 10.48550/arxiv.1110.3098 · pith_short_12: GMPKO6KG5RDT · pith_short_16: GMPKO6KG5RDTLPC2 · pith_short_8: GMPKO6KG

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/GMPKO6KG5RDTLPC2TPFRONE662 \
  | 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: 331ea77946ec4735bc5a9bcb17349ef6809208077a973556f5ce729f5c6a2326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd1beee8beebeff2d63d50714309cc37f6c7b9af32b0f052a9da1d9a36e2c63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-10-14T00:29:12Z",
    "title_canon_sha256": "3c983cd179e2ee387935115a9c7a90b24410519bc464d1df5c33735bd1d3a883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3098",
    "kind": "arxiv",
    "version": 2
  }
}