Pith Number

pith:CDRX4U2A

pith:2006:CDRX4U2AOB263SAC3H2KC6HVLL

not attested not anchored not stored refs pending

Persistence of Anderson localization in Schr\"odinger operators with decaying random potentials

Abel Klein, Alexander Figotin, Fran\c{c}ois Germinet, Peter M\"uller

arxiv:math-ph/0604020 v1 · 2006-04-09 · 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{CDRX4U2AOB263SAC3H2KC6HVLL}

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	2026-05-18T03:32:32.277353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10e37e53407075edc802d9f4a178f55acb57594215384e202386df719864cb58

Aliases

arxiv: math-ph/0604020 · arxiv_version: math-ph/0604020v1 · doi: 10.48550/arxiv.math-ph/0604020 · pith_short_12: CDRX4U2AOB26 · pith_short_16: CDRX4U2AOB263SAC · pith_short_8: CDRX4U2A

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/CDRX4U2AOB263SAC3H2KC6HVLL \
  | 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: 10e37e53407075edc802d9f4a178f55acb57594215384e202386df719864cb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08b5bf5cca651547ec25eeb63abdcdf53f2e0e7e01e4212bf673dffe27d6f039",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-04-09T19:40:32Z",
    "title_canon_sha256": "cb5cc55ec5c27e766c1d6bddfce4f5545beead46311b57ec4ba19d5da69cc920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0604020",
    "kind": "arxiv",
    "version": 1
  }
}