Pith Number

pith:VJP6YY6D

pith:2018:VJP6YY6DJ2OML7WATTJ6NZXKJ2

not attested not anchored not stored refs pending

No eigenvalues outside the limiting support of the spectral distribution of general sample covariance matrices

Yanqing Yin

arxiv:1801.03319 v1 · 2018-01-10 · 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{VJP6YY6DJ2OML7WATTJ6NZXKJ2}

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	2026-05-18T00:26:17.405450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa5fec63c34e9cc5fec09cd3e6e6ea4eb4344a531aba3cae0b27006e47366b36

Aliases

arxiv: 1801.03319 · arxiv_version: 1801.03319v1 · doi: 10.48550/arxiv.1801.03319 · pith_short_12: VJP6YY6DJ2OM · pith_short_16: VJP6YY6DJ2OML7WA · pith_short_8: VJP6YY6D

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/VJP6YY6DJ2OML7WATTJ6NZXKJ2 \
  | 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: aa5fec63c34e9cc5fec09cd3e6e6ea4eb4344a531aba3cae0b27006e47366b36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53c9c84b0444144307bdceb61e74bfde6f421064e631b6e9b37466a76aa274e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-10T11:45:46Z",
    "title_canon_sha256": "c6d45e4e721123e796f56b4052a8c271f633ad25a4829aa48cdcfdf6f87ec6e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03319",
    "kind": "arxiv",
    "version": 1
  }
}