Pith Number

pith:D5DWOY3L

pith:2018:D5DWOY3LUIPOJ6EFJB5YQKEDPS

not attested not anchored not stored refs pending

Algebras of block Toeplitz matrices with commuting entries

Dan Timotin, Muhammad Ahsan Khan

arxiv:1811.04252 v2 · 2018-11-10 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5DWOY3LUIPOJ6EFJB5YQKEDPS}

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	2026-05-17T23:49:33.217092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f4767636ba21ee4f885487b8828837ca7a34f436143e41d29ff6444f02a32d5

Aliases

arxiv: 1811.04252 · arxiv_version: 1811.04252v2 · doi: 10.48550/arxiv.1811.04252 · pith_short_12: D5DWOY3LUIPO · pith_short_16: D5DWOY3LUIPOJ6EF · pith_short_8: D5DWOY3L

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/D5DWOY3LUIPOJ6EFJB5YQKEDPS \
  | 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: 1f4767636ba21ee4f885487b8828837ca7a34f436143e41d29ff6444f02a32d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75fff1158a0b34d48587993c0d694ce6a7e39a2b97af571ac95e6f108819985d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-10T13:14:34Z",
    "title_canon_sha256": "b55f116ce6bc94ae50accafe07c4c6e75e125fe3084073fb1382ebcf19558904"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04252",
    "kind": "arxiv",
    "version": 2
  }
}