Pith Number

pith:CGUPGIVC

pith:2009:CGUPGIVCVRIN6EWUHRI3KAWQT3

not attested not anchored not stored refs pending

Complete Dynamical Localization in Disordered Quantum Multi-Particle Systems

Michael Aizenman, Simone Warzel

arxiv:0909.5432 v2 · 2009-09-29 · math-ph · cond-mat.quant-gas · 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{CGUPGIVCVRIN6EWUHRI3KAWQT3}

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	2026-05-18T00:37:23.224272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a8f322a2ac50df12d43c51b502d09ee811b52b78c48148e2e816b8b24991fd

Aliases

arxiv: 0909.5432 · arxiv_version: 0909.5432v2 · doi: 10.48550/arxiv.0909.5432 · pith_short_12: CGUPGIVCVRIN · pith_short_16: CGUPGIVCVRIN6EWU · pith_short_8: CGUPGIVC

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/CGUPGIVCVRIN6EWUHRI3KAWQT3 \
  | 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: 11a8f322a2ac50df12d43c51b502d09ee811b52b78c48148e2e816b8b24991fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76262e1fd94b734bef4c3bb2b0eec72c57c0a8cf7b31a83fbaa4b8f1ceccc5e7",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-09-29T20:20:28Z",
    "title_canon_sha256": "5801edb2f0216738ef73ca277bd1edac521d93a01748d89eb0824c2a47b4d37a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5432",
    "kind": "arxiv",
    "version": 2
  }
}