Pith Number

pith:OCFGDZIW

pith:2010:OCFGDZIWBHIDIMLOZRREZYKK7C

not attested not anchored not stored refs pending

Spectral statistics for random Schr\"odinger operators in the localized regime

Fran\c{c}ois Germinet (AGM), Fr\'ed\'eric Klopp (LAGA)

arxiv:1011.1832 v3 · 2010-11-08 · math.SP · 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{OCFGDZIWBHIDIMLOZRREZYKK7C}

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	2026-05-18T03:43:40.644029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

708a61e51609d034316ecc624ce14af89f219dafcc0b81e52c02a615c7134dd6

Aliases

arxiv: 1011.1832 · arxiv_version: 1011.1832v3 · doi: 10.48550/arxiv.1011.1832 · pith_short_12: OCFGDZIWBHID · pith_short_16: OCFGDZIWBHIDIMLO · pith_short_8: OCFGDZIW

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/OCFGDZIWBHIDIMLOZRREZYKK7C \
  | 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: 708a61e51609d034316ecc624ce14af89f219dafcc0b81e52c02a615c7134dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d1b6313c18a03ef1477ceb1f0cc33e954f1893e86d2938c6b17aea70507a52f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-11-08T15:43:51Z",
    "title_canon_sha256": "99554943d779f18746c43857c1813c1ae738bfe08d64ae2440ae174b5b5b232e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1832",
    "kind": "arxiv",
    "version": 3
  }
}