Pith Number

pith:AF2RRKE7

pith:2013:AF2RRKE7AQYK5ZHR5SRTFPKQZQ

not attested not anchored not stored refs pending

Decomposition rank of UHF-absorbing C*-algebras

Hiroki Matui, Yasuhiko Sato

arxiv:1303.4371 v2 · 2013-03-18 · 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{AF2RRKE7AQYK5ZHR5SRTFPKQZQ}

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	2026-05-18T02:29:25.371338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017518a89f0430aee4f1eca332bd50cc3683354f6579d090965708e30c7da808

Aliases

arxiv: 1303.4371 · arxiv_version: 1303.4371v2 · doi: 10.48550/arxiv.1303.4371 · pith_short_12: AF2RRKE7AQYK · pith_short_16: AF2RRKE7AQYK5ZHR · pith_short_8: AF2RRKE7

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/AF2RRKE7AQYK5ZHR5SRTFPKQZQ \
  | 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: 017518a89f0430aee4f1eca332bd50cc3683354f6579d090965708e30c7da808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8144c3ad2ba6a0587e2174202e5b1b136eee7737b5e039a599a32925c60e17b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-03-18T19:38:19Z",
    "title_canon_sha256": "da24f6330c11318511e5d83fc52e686fdef3ca467ddfa03479e0693998f89ee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4371",
    "kind": "arxiv",
    "version": 2
  }
}