Pith Number

pith:D3D3YGFC

pith:2010:D3D3YGFC56DGPHHY4ABK73E53B

not attested not anchored not stored refs pending

$L^p$-approximation of the integrated density of states for Schr\"odinger operators with finite local complexity

Daniel H. Lenz, Ivan Veseli\'c, Michael J. Gruber

arxiv:1004.3471 v2 · 2010-04-20 · 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{D3D3YGFC56DGPHHY4ABK73E53B}

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	2026-05-18T04:30:48.540683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ec7bc18a2ef86679cf8e002afec9dd87705ba5babef1ab98efd8e7d5ae56703

Aliases

arxiv: 1004.3471 · arxiv_version: 1004.3471v2 · doi: 10.48550/arxiv.1004.3471 · pith_short_12: D3D3YGFC56DG · pith_short_16: D3D3YGFC56DGPHHY · pith_short_8: D3D3YGFC

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/D3D3YGFC56DGPHHY4ABK73E53B \
  | 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: 1ec7bc18a2ef86679cf8e002afec9dd87705ba5babef1ab98efd8e7d5ae56703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6cf174d5970ba0ee6444c2722fc6f09cfd869c42d55fd3024e798a4a383a356",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-04-20T14:55:14Z",
    "title_canon_sha256": "8592bf9b580d354884f36727f1e236f3cb3bcabc9013bfdd3364fc72d2b83b31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3471",
    "kind": "arxiv",
    "version": 2
  }
}