Pith Number

pith:PIKTBP7N

pith:2010:PIKTBP7NDYMXBKSFSOPP3EARCM

not attested not anchored not stored refs pending

Spectrum of non-Hermitian heavy tailed random matrices

Charles Bordenave (IMT), Djalil Chafai (LAMA), Pietro Caputo

arxiv:1006.1713 v5 · 2010-06-09 · math.PR · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIKTBP7NDYMXBKSFSOPP3EARCM}

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	2026-05-18T04:05:15.172186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1530bfed1e1970aa45939efd90111333613c21582496e21d0ca843ec406f0a

Aliases

arxiv: 1006.1713 · arxiv_version: 1006.1713v5 · doi: 10.48550/arxiv.1006.1713 · pith_short_12: PIKTBP7NDYMX · pith_short_16: PIKTBP7NDYMXBKSF · pith_short_8: PIKTBP7N

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/PIKTBP7NDYMXBKSFSOPP3EARCM \
  | 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: 7a1530bfed1e1970aa45939efd90111333613c21582496e21d0ca843ec406f0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b75b7f455c4afcf0c8a74967ec78b93e5ac25a114a2a2a7b256ec89988233a49",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-06-09T06:36:01Z",
    "title_canon_sha256": "02f49feacf8c206a97b5150fb3355cb151d156e23f953452afe3e684051b547b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1713",
    "kind": "arxiv",
    "version": 5
  }
}