Pith Number

pith:QXLWX4J5

pith:2005:QXLWX4J5JUJCEBA6P4GRDGK6QC

not attested not anchored not stored refs pending

Localization for random perturbations of periodic Schroedinger operators with regular Floquet eigenvalues

Ivan Veselic'

arxiv:math-ph/0510063 v1 · 2005-10-17 · 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{QXLWX4J5JUJCEBA6P4GRDGK6QC}

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	2026-05-18T01:23:17.161009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d76bf13d4d1222041e7f0d11995e80836069ee04abed59fc5831f934c4df90

Aliases

arxiv: math-ph/0510063 · arxiv_version: math-ph/0510063v1 · doi: 10.48550/arxiv.math-ph/0510063 · pith_short_12: QXLWX4J5JUJC · pith_short_16: QXLWX4J5JUJCEBA6 · pith_short_8: QXLWX4J5

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/QXLWX4J5JUJCEBA6P4GRDGK6QC \
  | 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: 85d76bf13d4d1222041e7f0d11995e80836069ee04abed59fc5831f934c4df90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43204297dcb789058094775ee845d54cf25f940bde926c586e5e0813da913f9d",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-10-17T11:25:41Z",
    "title_canon_sha256": "7daecfd2285295efba05330ba690843c75719835b9cdab92d63ee1ad3365556e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0510063",
    "kind": "arxiv",
    "version": 1
  }
}