Pith Number

pith:KC3PEKV2

pith:2011:KC3PEKV2IWG2BK2NVIMTAKX3TL

not attested not anchored not stored refs pending

Local Wegner and Lifshitz tails estimates for the density of states for continuous random Schr\"odinger operators

Abel Klein, Fran\c{c}ois Germinet, Jean-Michel Combes

arxiv:1111.4674 v2 · 2011-11-20 · math-ph · math.MP · 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{KC3PEKV2IWG2BK2NVIMTAKX3TL}

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	2026-05-18T03:13:11.069540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b6f22aba458da0ab4daa19302afb9ae8acbd4b5321f51a268414cf22906002

Aliases

arxiv: 1111.4674 · arxiv_version: 1111.4674v2 · doi: 10.48550/arxiv.1111.4674 · pith_short_12: KC3PEKV2IWG2 · pith_short_16: KC3PEKV2IWG2BK2N · pith_short_8: KC3PEKV2

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/KC3PEKV2IWG2BK2NVIMTAKX3TL \
  | 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: 50b6f22aba458da0ab4daa19302afb9ae8acbd4b5321f51a268414cf22906002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62170e7354c8db44c2804ffe4e6c98b0cfbc1911d2df88c16d95d6bc3a5e9717",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-20T20:42:42Z",
    "title_canon_sha256": "258c426d4bea937a248fa5672875c3105e620ac6db17d615df4d3a8895390b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4674",
    "kind": "arxiv",
    "version": 2
  }
}