Pith Number

pith:YRYWF455

pith:2010:YRYWF455XHHN5XBRN37CH42ILC

not attested not anchored not stored refs pending

Wegner estimate and Anderson localization for random magnetic fields

David Hasler, Laszlo Erdoes

arxiv:1012.5185 v1 · 2010-12-23 · 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{YRYWF455XHHN5XBRN37CH42ILC}

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	2026-05-18T04:32:35.643580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c47162f3bdb9cededc316efe23f3485886442c3c36667e07897bbb40b9b685ee

Aliases

arxiv: 1012.5185 · arxiv_version: 1012.5185v1 · doi: 10.48550/arxiv.1012.5185 · pith_short_12: YRYWF455XHHN · pith_short_16: YRYWF455XHHN5XBR · pith_short_8: YRYWF455

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/YRYWF455XHHN5XBRN37CH42ILC \
  | 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: c47162f3bdb9cededc316efe23f3485886442c3c36667e07897bbb40b9b685ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30e61deaeac80f0f18212faa45cc2b86f18d7fff0ef8af126176ba92e01959b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-23T12:21:30Z",
    "title_canon_sha256": "77068703b96d01a5ff0975ebdcc836f29e4d2b27f1fef536dc41cd922a6712ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5185",
    "kind": "arxiv",
    "version": 1
  }
}