Pith Number

pith:KO2S3V2T

pith:2009:KO2S3V2TCUOCYZGCJS3SPQOWVQ

not attested not anchored not stored refs pending

Universality of Random Matrices and Local Relaxation Flow

Benjamin Schlein, Horng-Tzer Yau, Laszlo Erdos

arxiv:0907.5605 v5 · 2009-07-31 · 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{KO2S3V2TCUOCYZGCJS3SPQOWVQ}

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	2026-05-18T04:34:54.411383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b52dd753151c2c64c24cb727c1d6ac23b2a79ce0e51fbe58c6bf19a9784565

Aliases

arxiv: 0907.5605 · arxiv_version: 0907.5605v5 · doi: 10.48550/arxiv.0907.5605 · pith_short_12: KO2S3V2TCUOC · pith_short_16: KO2S3V2TCUOCYZGC · pith_short_8: KO2S3V2T

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/KO2S3V2TCUOCYZGCJS3SPQOWVQ \
  | 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: 53b52dd753151c2c64c24cb727c1d6ac23b2a79ce0e51fbe58c6bf19a9784565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c981c1ff0e3ec603b100c82628a85b78c6d97e543c39fc9cc0824a03f7961fdd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-07-31T19:57:51Z",
    "title_canon_sha256": "e6044cfe7b3e4e13f20927bd58c97b35a80e93861b7cccea19906087d9ac59b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5605",
    "kind": "arxiv",
    "version": 5
  }
}