Pith Number

pith:ZM7LS4JA

pith:2011:ZM7LS4JARDD575QDF5GICE2VV3

not attested not anchored not stored refs pending

A comprehensive proof of localization for continuous Anderson models with singular random potentials

Abel Klein, Fran\c{c}ois Germinet

arxiv:1105.0213 v3 · 2011-05-01 · 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{ZM7LS4JARDD575QDF5GICE2VV3}

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	2026-05-18T03:37:41.877885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb3eb9712088c7dff6032f4c811355aee4d85aa92328edf4b9b150abc194d4af

Aliases

arxiv: 1105.0213 · arxiv_version: 1105.0213v3 · doi: 10.48550/arxiv.1105.0213 · pith_short_12: ZM7LS4JARDD5 · pith_short_16: ZM7LS4JARDD575QD · pith_short_8: ZM7LS4JA

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/ZM7LS4JARDD575QDF5GICE2VV3 \
  | 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: cb3eb9712088c7dff6032f4c811355aee4d85aa92328edf4b9b150abc194d4af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b88edccd6c631ac54e730d461540b1e8d752d0cacfe41b7400f95f468faf5787",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-01T22:08:22Z",
    "title_canon_sha256": "ce3a439a4938233e00a669326340befd7d0d0663755c36342b17035c00aec9c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0213",
    "kind": "arxiv",
    "version": 3
  }
}