Pith Number

pith:MKFYCDSM

pith:2012:MKFYCDSMOTI5TN4TPSGZFHBWF5

not attested not anchored not stored refs pending

Commutators and linear spans of projections in certain finite C*-algebras

Ping W. Ng, Shuang Zhang, Victor Kaftal

arxiv:1208.1949 v1 · 2012-08-09 · 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{MKFYCDSMOTI5TN4TPSGZFHBWF5}

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	2026-05-18T03:49:09.618752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

628b810e4c74d1d9b7937c8d929c362f722ec46def5ee983ac7b377d6975736a

Aliases

arxiv: 1208.1949 · arxiv_version: 1208.1949v1 · doi: 10.48550/arxiv.1208.1949 · pith_short_12: MKFYCDSMOTI5 · pith_short_16: MKFYCDSMOTI5TN4T · pith_short_8: MKFYCDSM

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/MKFYCDSMOTI5TN4TPSGZFHBWF5 \
  | 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: 628b810e4c74d1d9b7937c8d929c362f722ec46def5ee983ac7b377d6975736a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb4f8402c706c097092b55f0fd777c4f545bfff42346d5d17fec6c6b555032ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-08-09T15:27:30Z",
    "title_canon_sha256": "437e0851d89aff632951fa521b85c221e7da87077fce175463d4ed880cb8b354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1949",
    "kind": "arxiv",
    "version": 1
  }
}