Pith Number

pith:FGJNR5J3

pith:2011:FGJNR5J32L75354TOFBUYUP6MF

not attested not anchored not stored refs pending

Asymptotic properties of eigenmatrices of a large sample covariance matrix

H. X. Liu, W. K. Wong, Z. D. Bai

arxiv:1201.0086 v1 · 2011-12-30 · math.PR

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

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	2026-05-18T04:05:26.268223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2992d8f53bd2ffddf79371434c51fe6149878e32488aa57702e0e725cebec6b3

Aliases

arxiv: 1201.0086 · arxiv_version: 1201.0086v1 · doi: 10.48550/arxiv.1201.0086 · pith_short_12: FGJNR5J32L75 · pith_short_16: FGJNR5J32L75354T · pith_short_8: FGJNR5J3

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/FGJNR5J32L75354TOFBUYUP6MF \
  | 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: 2992d8f53bd2ffddf79371434c51fe6149878e32488aa57702e0e725cebec6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05624e2097cde92c3bac9067fbb15716fc7f9e56b7cd4524dd25a572b7a5e0d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-30T09:12:40Z",
    "title_canon_sha256": "7ba68f5d8a0c2ebd8a0f9b224bd45c878332f56ad2b852ea805142e98ab3da54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0086",
    "kind": "arxiv",
    "version": 1
  }
}