Pith Number

pith:R73NQOQO

pith:2007:R73NQOQOM6SZJGYD6QDPR4CTHL

not attested not anchored not stored refs pending

Circular law for non-central random matrices

Djalil Chafai (LAMA)

arxiv:0709.0036 v3 · 2007-09-01 · 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{R73NQOQOM6SZJGYD6QDPR4CTHL}

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	2026-05-18T04:36:51.545740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ff6d83a0e67a5949b03f406f8f0533aca7105678d02c7c5e431c9f107138a65

Aliases

arxiv: 0709.0036 · arxiv_version: 0709.0036v3 · doi: 10.48550/arxiv.0709.0036 · pith_short_12: R73NQOQOM6SZ · pith_short_16: R73NQOQOM6SZJGYD · pith_short_8: R73NQOQO

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/R73NQOQOM6SZJGYD6QDPR4CTHL \
  | 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: 8ff6d83a0e67a5949b03f406f8f0533aca7105678d02c7c5e431c9f107138a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0538c66bb3a4bc7631623a4082657fd09983f1d2e020f4bd679dc37e1ac7db16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-09-01T06:57:30Z",
    "title_canon_sha256": "3887d9044b47fc8bf8183a7f9b4e714549ea1476e7bcb2faba9e50995def9d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0036",
    "kind": "arxiv",
    "version": 3
  }
}