Pith Number

pith:BDR7VFFR

pith:2013:BDR7VFFRYHNBAZWHSYHLHJ7CFI

not attested not anchored not stored refs pending

On the universality of spectral limit for random matrices with martingale differences entries

Costel Peligrad, Florence Merlev\`ede, Magda Peligrad

arxiv:1306.2048 v3 · 2013-06-09 · 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{BDR7VFFRYHNBAZWHSYHLHJ7CFI}

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	2026-05-18T02:57:45.013805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e3fa94b1c1da1066c7960eb3a7e22a0ba65695886e9f2dc4d364ec11234fca

Aliases

arxiv: 1306.2048 · arxiv_version: 1306.2048v3 · doi: 10.48550/arxiv.1306.2048 · pith_short_12: BDR7VFFRYHNB · pith_short_16: BDR7VFFRYHNBAZWH · pith_short_8: BDR7VFFR

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/BDR7VFFRYHNBAZWHSYHLHJ7CFI \
  | 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: 08e3fa94b1c1da1066c7960eb3a7e22a0ba65695886e9f2dc4d364ec11234fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a3241f519fede4d8e08c4f240a4ce4fc0d20407d8b5c3f7487c9f864ed4b215",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-09T18:15:20Z",
    "title_canon_sha256": "e927f2920e4564499515276bd7f36d2e0b73a1793bc320a4f6cafb0c22fe86f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2048",
    "kind": "arxiv",
    "version": 3
  }
}