Pith Number

pith:EUZZHBKQ

pith:2016:EUZZHBKQ3MNIYLQDJJR7LBK7CK

not attested not anchored not stored refs pending

Sharp spectral estimates for the perturbed Landau Hamiltonian with $L^p$ potentials

Jean-Claude Cuenin

arxiv:1607.05648 v1 · 2016-07-19 · math.SP · 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{EUZZHBKQ3MNIYLQDJJR7LBK7CK}

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	2026-05-18T01:10:46.381910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2533938550db1a8c2e034a63f5855f12bd34e706087d04246cff59de497b899e

Aliases

arxiv: 1607.05648 · arxiv_version: 1607.05648v1 · doi: 10.48550/arxiv.1607.05648 · pith_short_12: EUZZHBKQ3MNI · pith_short_16: EUZZHBKQ3MNIYLQD · pith_short_8: EUZZHBKQ

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/EUZZHBKQ3MNIYLQDJJR7LBK7CK \
  | 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: 2533938550db1a8c2e034a63f5855f12bd34e706087d04246cff59de497b899e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1360c3f30598b799b4bc9b2a0f4abfb8d534790e430f6815fcbc11de1825677",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-07-19T16:19:02Z",
    "title_canon_sha256": "694649bfb619c18e5d0830e835073b25fd4ab3da60d387f95e7d1405ee8577b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05648",
    "kind": "arxiv",
    "version": 1
  }
}