Pith Number

pith:QNJ6CANZ

pith:2019:QNJ6CANZDQ7YUNRDHLCVER7Z3I

not attested not anchored not stored refs pending

A short note on Multilevel Toeplitz Matrices

Lei Cao, Selcuk Koyuncu

arxiv:1906.10596 v1 · 2019-06-25 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNJ6CANZDQ7YUNRDHLCVER7Z3I}

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	2026-05-17T23:42:15.871863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8353e101b91c3f8a36233ac55247f9da15f06b707295d3e3d3d6d8ee69837c6f

Aliases

arxiv: 1906.10596 · arxiv_version: 1906.10596v1 · doi: 10.48550/arxiv.1906.10596 · pith_short_12: QNJ6CANZDQ7Y · pith_short_16: QNJ6CANZDQ7YUNRD · pith_short_8: QNJ6CANZ

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/QNJ6CANZDQ7YUNRDHLCVER7Z3I \
  | 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: 8353e101b91c3f8a36233ac55247f9da15f06b707295d3e3d3d6d8ee69837c6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d81320aa366371cabc79aee417c4d48a9cf7c71da540765e7e80d1dc8950a6f3",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-25T15:16:05Z",
    "title_canon_sha256": "9f5d2b762dc0e4cf57ed6c64b7edb41b3d526e1ca1fb1decdadc771c5117b28c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10596",
    "kind": "arxiv",
    "version": 1
  }
}