Pith Number

pith:5Y2B7KAA

pith:2010:5Y2B7KAA7NU6ST46QHHGWXGU4A

not attested not anchored not stored refs pending

Limit Distributions of Eigenvalues for Random Block Toeplitz and Hankel Matrices

Dang-Zheng Liu, Yi-Ting Li, Zheng-Dong Wang

arxiv:1010.3191 v1 · 2010-10-15 · 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{5Y2B7KAA7NU6ST46QHHGWXGU4A}

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	2026-05-18T04:39:17.494973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee341fa800fb69e94f9e81ce6b5cd4e014397f03d06aa90f176fc6b262c524bc

Aliases

arxiv: 1010.3191 · arxiv_version: 1010.3191v1 · doi: 10.48550/arxiv.1010.3191 · pith_short_12: 5Y2B7KAA7NU6 · pith_short_16: 5Y2B7KAA7NU6ST46 · pith_short_8: 5Y2B7KAA

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/5Y2B7KAA7NU6ST46QHHGWXGU4A \
  | 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: ee341fa800fb69e94f9e81ce6b5cd4e014397f03d06aa90f176fc6b262c524bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8db22a6dfc0a73bc10c55b90181554786d141c6a355116134ecfbcd9b64726c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-15T15:08:05Z",
    "title_canon_sha256": "50e8c805b357dc656e85927cb5d62738d16cac4af17f532084a22430650b972d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3191",
    "kind": "arxiv",
    "version": 1
  }
}