Pith Number

pith:36NQTJYZ

pith:2018:36NQTJYZGGAEK3YWEIXOX4LBNK

not attested not anchored not stored refs pending

Random band matrices in the delocalized phase, III: Averaging fluctuations

Fan Yang, Jun Yin

arxiv:1807.02447 v3 · 2018-07-06 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36NQTJYZGGAEK3YWEIXOX4LBNK}

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.

Cited by

1 paper in Pith

Universality of the least singular value for the sum of random matrices

Receipt and verification

First computed	2026-07-05T01:27:41.365044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9b09a7193180456f16222eebf1616a9116428e308a928139dfd7b6256411fa

Aliases

arxiv: 1807.02447 · arxiv_version: 1807.02447v3 · doi: 10.48550/arxiv.1807.02447 · pith_short_12: 36NQTJYZGGAE · pith_short_16: 36NQTJYZGGAEK3YW · pith_short_8: 36NQTJYZ

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/36NQTJYZGGAEK3YWEIXOX4LBNK \
  | 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: df9b09a7193180456f16222eebf1616a9116428e308a928139dfd7b6256411fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "886d1fd0953a227bb48b2dd0b34a0ce9769c16210e77bd2dc7d11fec8464e82f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-06T15:22:06Z",
    "title_canon_sha256": "dd54df2df92ad923fe7545007ba1a4e8ca922b2f350cc643b3461f68e41216da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02447",
    "kind": "arxiv",
    "version": 3
  }
}