Pith Number

pith:VSGG4JVY

pith:2013:VSGG4JVYB7CJMVA3LH45PJSWLL

not attested not anchored not stored refs pending

Eigenvalue order statistics for random Schr\"odinger operators with doubly-exponential tails

Marek Biskup, Wolfgang Koenig

arxiv:1311.0395 v1 · 2013-11-02 · math.PR · 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{VSGG4JVYB7CJMVA3LH45PJSWLL}

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	2026-05-18T01:15:01.042129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac8c6e26b80fc496541b59f9d7a6565af85066533c642838836efd34f36d24ea

Aliases

arxiv: 1311.0395 · arxiv_version: 1311.0395v1 · doi: 10.48550/arxiv.1311.0395 · pith_short_12: VSGG4JVYB7CJ · pith_short_16: VSGG4JVYB7CJMVA3 · pith_short_8: VSGG4JVY

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/VSGG4JVYB7CJMVA3LH45PJSWLL \
  | 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: ac8c6e26b80fc496541b59f9d7a6565af85066533c642838836efd34f36d24ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4c7c65f4926fe02a2bec479c9c7e36ce30d6b82875f3a781fc4851c82471a67",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-02T17:21:59Z",
    "title_canon_sha256": "a097ff7052fcc8d19107f5367c05fe48e57c7d3eec9508d641f036d9e10c840c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0395",
    "kind": "arxiv",
    "version": 1
  }
}