Pith Number

pith:KCNDE7KB

pith:2011:KCNDE7KBGBYAXWJTRU4INZGD26

not attested not anchored not stored refs pending

Understanding the Random Displacement Model: From Ground-State Properties to Localization

Fr\'ed\'eric Klopp, G\"unter Stolz, Michael Loss, Shu Nakamura

arxiv:1107.0386 v2 · 2011-07-02 · 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{KCNDE7KBGBYAXWJTRU4INZGD26}

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	2026-05-18T00:27:03.337579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509a327d4130700bd9338d3886e4c3d7a6e48228021eb4e51d5379b404c247b0

Aliases

arxiv: 1107.0386 · arxiv_version: 1107.0386v2 · doi: 10.48550/arxiv.1107.0386 · pith_short_12: KCNDE7KBGBYA · pith_short_16: KCNDE7KBGBYAXWJT · pith_short_8: KCNDE7KB

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/KCNDE7KBGBYAXWJTRU4INZGD26 \
  | 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: 509a327d4130700bd9338d3886e4c3d7a6e48228021eb4e51d5379b404c247b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca6a976ca17201e08048db1a6c570f2f322b76b2c99dd34d3b4d2ff11758dfe4",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-02T15:13:09Z",
    "title_canon_sha256": "5ac252bf3c9a3da933a76e04f012a4c88473ffb5f8d7f5d75317a58446f0af97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0386",
    "kind": "arxiv",
    "version": 2
  }
}