Pith Number

pith:XYRBZKNY

pith:2011:XYRBZKNYDTMQ5KDGDJN2GMPUHB

not attested not anchored not stored refs pending

Limiting Spectral Distribution of Block Matrices with Toeplitz Block Structure

Arup Bose, Rajat Subhra Hazra, Riddhipratim Basu, Shirshendu Ganguly

arxiv:1111.1901 v1 · 2011-11-08 · 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{XYRBZKNYDTMQ5KDGDJN2GMPUHB}

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	2026-05-18T04:09:24.478438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be221ca9b81cd90ea8661a5ba331f43864c9a4040d1cec943a389d82965d2eae

Aliases

arxiv: 1111.1901 · arxiv_version: 1111.1901v1 · doi: 10.48550/arxiv.1111.1901 · pith_short_12: XYRBZKNYDTMQ · pith_short_16: XYRBZKNYDTMQ5KDG · pith_short_8: XYRBZKNY

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/XYRBZKNYDTMQ5KDGDJN2GMPUHB \
  | 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: be221ca9b81cd90ea8661a5ba331f43864c9a4040d1cec943a389d82965d2eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f07d0f8267205f6745853c63f989dd92cced2f2cb5518e3aed1ed1c839f02363",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-08T13:22:53Z",
    "title_canon_sha256": "77b39f101310718047051815e016b2dbb311773bf9d0ebc1900c5871e0f3fff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1901",
    "kind": "arxiv",
    "version": 1
  }
}