Pith Number

pith:TFXY76AI

pith:2000:TFXY76AITGS4ZEGQ7NBD3WF5L6

not attested not anchored not stored refs pending

Upper bounds on the density of states of single Landau levels broadened by Gaussian random potentials

Hajo Leschke, Simone Warzel, Thomas Hupfer

arxiv:math-ph/0011010 v3 · 2000-11-07 · math-ph · cond-mat.dis-nn · cond-mat.mes-hall · 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{TFXY76AITGS4ZEGQ7NBD3WF5L6}

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	2026-05-18T01:38:34.598043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

996f8ff80899a5cc90d0fb423dd8bd5fb7056054e1bfd2618e5a3dfddaaa5a92

Aliases

arxiv: math-ph/0011010 · arxiv_version: math-ph/0011010v3 · doi: 10.48550/arxiv.math-ph/0011010 · pith_short_12: TFXY76AITGS4 · pith_short_16: TFXY76AITGS4ZEGQ · pith_short_8: TFXY76AI

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/TFXY76AITGS4ZEGQ7NBD3WF5L6 \
  | 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: 996f8ff80899a5cc90d0fb423dd8bd5fb7056054e1bfd2618e5a3dfddaaa5a92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "174324fcaf112498c85d788d9599c63c01457da44c71e0a52cc572597989432c",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.mes-hall",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-11-07T11:14:29Z",
    "title_canon_sha256": "20baf03b39782124a3051f8aad464fa0b1e02f977a406731b545b60cafc60cc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0011010",
    "kind": "arxiv",
    "version": 3
  }
}