Pith Number

pith:KVW56XFH

pith:2012:KVW56XFHMCUUYNMY56PFH6WXWR

not attested not anchored not stored refs pending

Unique continuation principle for spectral projections of Schr\" odinger operators and optimal Wegner estimates for non-ergodic random Schr\" odinger operators

Abel Klein

arxiv:1209.4863 v3 · 2012-09-21 · 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{KVW56XFHMCUUYNMY56PFH6WXWR}

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	2026-05-18T03:36:56.350770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

556ddf5ca760a94c3598ef9e53fad7b4686ce22135073cb35ca333656a5963e0

Aliases

arxiv: 1209.4863 · arxiv_version: 1209.4863v3 · doi: 10.48550/arxiv.1209.4863 · pith_short_12: KVW56XFHMCUU · pith_short_16: KVW56XFHMCUUYNMY · pith_short_8: KVW56XFH

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/KVW56XFHMCUUYNMY56PFH6WXWR \
  | 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: 556ddf5ca760a94c3598ef9e53fad7b4686ce22135073cb35ca333656a5963e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7709fe52631524b1dca1ae05f7be88b7a45bda50dde14b83a9db2d4c7820d11b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-21T17:12:30Z",
    "title_canon_sha256": "6079ab2d09ed34a13791b7db07434ca8fc53d2d32aa8f6de2d49609bf67e815d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4863",
    "kind": "arxiv",
    "version": 3
  }
}