Pith Number

pith:GRIG2CC7

pith:2018:GRIG2CC7KXCE4IDUPXO6ZNW42F

not attested not anchored not stored refs pending

A Family of Maximal Algebras of Block Toeplitz matrices

Muhammad Ahsan Khan

arxiv:1810.01083 v1 · 2018-10-02 · 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{GRIG2CC7KXCE4IDUPXO6ZNW42F}

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	2026-05-18T00:04:18.906357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34506d085f55c44e20747dddecb6dcd1419f453fa25671f319934a5c06763298

Aliases

arxiv: 1810.01083 · arxiv_version: 1810.01083v1 · doi: 10.48550/arxiv.1810.01083 · pith_short_12: GRIG2CC7KXCE · pith_short_16: GRIG2CC7KXCE4IDU · pith_short_8: GRIG2CC7

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/GRIG2CC7KXCE4IDUPXO6ZNW42F \
  | 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: 34506d085f55c44e20747dddecb6dcd1419f453fa25671f319934a5c06763298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e38a015de1068b02aad2304c0c79c8500f8392eb05f3ad312f24e86511b00a7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-02T06:08:30Z",
    "title_canon_sha256": "7efab8006bc2b591c7d41bfa4ac7caac1dc22d92606f6d71402c2182cb38d58f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01083",
    "kind": "arxiv",
    "version": 1
  }
}