Pith Number

pith:WRT7HWGK

pith:2018:WRT7HWGKJMGSORKO5J74ERHD4W

not attested not anchored not stored refs pending

Convergence of the empirical spectral distribution of Gaussian matrix-valued processes

Arturo Jaramillo, Jos\'e Luis P\'erez, Juan Carlos Pardo

arxiv:1801.02111 v1 · 2018-01-07 · 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{WRT7HWGKJMGSORKO5J74ERHD4W}

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	2026-05-18T00:26:34.857520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b467f3d8ca4b0d27454eea7fc244e3e5a849b167cc20207f0bdecd0c5d9a64cf

Aliases

arxiv: 1801.02111 · arxiv_version: 1801.02111v1 · doi: 10.48550/arxiv.1801.02111 · pith_short_12: WRT7HWGKJMGS · pith_short_16: WRT7HWGKJMGSORKO · pith_short_8: WRT7HWGK

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/WRT7HWGKJMGSORKO5J74ERHD4W \
  | 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: b467f3d8ca4b0d27454eea7fc244e3e5a849b167cc20207f0bdecd0c5d9a64cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4c13e5bf1674fe1e07b46e98bf6f0b5c3ddf49c99e838abd2af6ebbd1fab3aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-07T01:52:14Z",
    "title_canon_sha256": "bb82d71a23e7caa3889a2173d4d0d3cb656b5e48cf198bbc9a98c84633aecb2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02111",
    "kind": "arxiv",
    "version": 1
  }
}