Pith Number

pith:VMEYSBYE

pith:2011:VMEYSBYEWT6Y7ORFQB7FHIYFGT

not attested not anchored not stored refs pending

A note on eigenvalues of random block Toeplitz matrices with slowly growing bandwidth

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

arxiv:1108.2810 v1 · 2011-08-13 · 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{VMEYSBYEWT6Y7ORFQB7FHIYFGT}

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	2026-05-18T04:15:35.578187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab09890704b4fd8fba25807e53a30534c5657b60d51bd16d48002d281fbe108d

Aliases

arxiv: 1108.2810 · arxiv_version: 1108.2810v1 · doi: 10.48550/arxiv.1108.2810 · pith_short_12: VMEYSBYEWT6Y · pith_short_16: VMEYSBYEWT6Y7ORF · pith_short_8: VMEYSBYE

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/VMEYSBYEWT6Y7ORFQB7FHIYFGT \
  | 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: ab09890704b4fd8fba25807e53a30534c5657b60d51bd16d48002d281fbe108d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31013dd6035522a4f2dda4c93860c0386d7d315de522d01a06e72792a9254f04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-13T18:18:23Z",
    "title_canon_sha256": "80275adc53219daa7bc1b5d1ceb234354474ca76986e008e813f9053d9fefd5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2810",
    "kind": "arxiv",
    "version": 1
  }
}