Pith Number

pith:3LFO3UMJ

pith:2011:3LFO3UMJ54O2B4VWMR72F6P6UW

not attested not anchored not stored refs pending

An Introduction to the Mathematics of Anderson Localization

G\"unter Stolz

arxiv:1104.2317 v1 · 2011-04-12 · 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{3LFO3UMJ54O2B4VWMR72F6P6UW}

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	2026-05-18T00:27:03.345388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dacaedd189ef1da0f2b6647fa2f9fea5b9d659fb8aa5c5c0354ec2b5ee541342

Aliases

arxiv: 1104.2317 · arxiv_version: 1104.2317v1 · doi: 10.48550/arxiv.1104.2317 · pith_short_12: 3LFO3UMJ54O2 · pith_short_16: 3LFO3UMJ54O2B4VW · pith_short_8: 3LFO3UMJ

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/3LFO3UMJ54O2B4VWMR72F6P6UW \
  | 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: dacaedd189ef1da0f2b6647fa2f9fea5b9d659fb8aa5c5c0354ec2b5ee541342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89df57fffaf50c25d4dc40fb91071b3a650404b5ff16789c620e21b4e5a25c7d",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-12T19:58:44Z",
    "title_canon_sha256": "976410ef8efd9030a940a9fda3218c69a9771945392eb639dd7080cf87271a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2317",
    "kind": "arxiv",
    "version": 1
  }
}