Pith Number

pith:LJAHIZ2B

pith:2015:LJAHIZ2BSE5Q2WTNCZLADWYVBB

not attested not anchored not stored refs pending

Gaussianity of normal vectors in random non-Hermitian matrices

Hoi H. Nguyen

arxiv:1511.04706 v5 · 2015-11-15 · 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{LJAHIZ2BSE5Q2WTNCZLADWYVBB}

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	2026-05-18T01:17:00.036941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a40746741913b0d5a6d165601db15087f1da6eb55cec11b44b854dba6340e9b

Aliases

arxiv: 1511.04706 · arxiv_version: 1511.04706v5 · doi: 10.48550/arxiv.1511.04706 · pith_short_12: LJAHIZ2BSE5Q · pith_short_16: LJAHIZ2BSE5Q2WTN · pith_short_8: LJAHIZ2B

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/LJAHIZ2BSE5Q2WTNCZLADWYVBB \
  | 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: 5a40746741913b0d5a6d165601db15087f1da6eb55cec11b44b854dba6340e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeb8c5871642f4ccdd6a95a8ee9c5707ac016191eb4d5bde996c3963130a8e65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-15T14:33:07Z",
    "title_canon_sha256": "f4cf771de5aacf31c9337350f7b4c4db1bf68c224332a1ab82a359a61c92e5e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04706",
    "kind": "arxiv",
    "version": 5
  }
}