Pith Number

pith:JTVPRKDK

pith:2018:JTVPRKDKOPZ4QE6WR7RA7UFNDV

not attested not anchored not stored refs pending

The Circular Law for Random Matrices with Intra-row Dependence

Chris Connell, Pawan Patel

arxiv:1801.04659 v1 · 2018-01-15 · 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{JTVPRKDKOPZ4QE6WR7RA7UFNDV}

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	2026-05-18T00:26:03.703026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ceaf8a86a73f3c813d68fe20fd0ad1d7d7198517dc8240d9978ceca39f95a2d

Aliases

arxiv: 1801.04659 · arxiv_version: 1801.04659v1 · doi: 10.48550/arxiv.1801.04659 · pith_short_12: JTVPRKDKOPZ4 · pith_short_16: JTVPRKDKOPZ4QE6W · pith_short_8: JTVPRKDK

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/JTVPRKDKOPZ4QE6WR7RA7UFNDV \
  | 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: 4ceaf8a86a73f3c813d68fe20fd0ad1d7d7198517dc8240d9978ceca39f95a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2d7df1f7574385d99690be1df62495d1ce9963df4bac4dffa667800acfc5657",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-15T03:46:00Z",
    "title_canon_sha256": "a1bc92764fe5776e858d6c1b9319f61ef6be8b9d0da12d2631f637eda5cfd669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04659",
    "kind": "arxiv",
    "version": 1
  }
}