Pith Number

pith:XJ6OOCLQ

pith:2010:XJ6OOCLQRDUQWFHDOHSJRCPSGJ

not attested not anchored not stored refs pending

Boundary quotients of the Toeplitz algebra of the affine semigroup over the natural numbers

Astrid an Huef, Iain Raeburn, Marcelo Laca, Nathan Brownlowe

arxiv:1009.3678 v1 · 2010-09-20 · 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{XJ6OOCLQRDUQWFHDOHSJRCPSGJ}

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	2026-05-18T04:40:44.207831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba7ce7097088e90b14e371e49889f23274fa81fab83f2509022ca0af162b5958

Aliases

arxiv: 1009.3678 · arxiv_version: 1009.3678v1 · doi: 10.48550/arxiv.1009.3678 · pith_short_12: XJ6OOCLQRDUQ · pith_short_16: XJ6OOCLQRDUQWFHD · pith_short_8: XJ6OOCLQ

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/XJ6OOCLQRDUQWFHDOHSJRCPSGJ \
  | 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: ba7ce7097088e90b14e371e49889f23274fa81fab83f2509022ca0af162b5958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80c024c4a495e5655df993eacf73252ee9ba9e9115bfd7ba7ccdb0664e452ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-09-20T01:56:28Z",
    "title_canon_sha256": "617b9077fb137fb1a08f6fe585eb95a423fe56a7c02cc7322968dcb8e1193b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3678",
    "kind": "arxiv",
    "version": 1
  }
}