Pith Number

pith:WHUKGEJV

pith:2012:WHUKGEJVTAOTCPDSKPRYNFLBT5

not attested not anchored not stored refs pending

Distribution of the largest eigenvalue for real Wishart and Gaussian random matrices and a simple approximation for the Tracy-Widom distribution

Marco Chiani

arxiv:1209.3394 v5 · 2012-09-15 · cs.IT · math.IT · math.ST · stat.TH

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	2026-05-18T02:39:54.395223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e8a31135981d313c7253e38695619f6d73cf3a2275ea39b38b0185edb0a9b2

Aliases

arxiv: 1209.3394 · arxiv_version: 1209.3394v5 · doi: 10.48550/arxiv.1209.3394 · pith_short_12: WHUKGEJVTAOT · pith_short_16: WHUKGEJVTAOTCPDS · pith_short_8: WHUKGEJV

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/WHUKGEJVTAOTCPDSKPRYNFLBT5 \
  | 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: b1e8a31135981d313c7253e38695619f6d73cf3a2275ea39b38b0185edb0a9b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e346c2e45e2469789f8da0f7dd605bdda442f041c0e0b0834720b6ba6c667704",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-15T11:58:28Z",
    "title_canon_sha256": "bb22f87d4337d35b1325ecd7bbdac385d005fc9dd57644bb6c7254668c5320a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3394",
    "kind": "arxiv",
    "version": 5
  }
}