Pith Number

pith:XGNU3A3F

pith:2012:XGNU3A3FOPFQN47IX4STP7ZYFW

not attested not anchored not stored refs pending

Uniqueness property for $C^*$-algebras given by relations with circular symmetry

B. K. Kwasniewski

arxiv:1209.0087 v1 · 2012-09-01 · 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{XGNU3A3FOPFQN47IX4STP7ZYFW}

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	2026-05-18T02:40:47.671948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b99b4d836573cb06f3e8bf2537ff382dab5199fc1b9e925a732f697580b92596

Aliases

arxiv: 1209.0087 · arxiv_version: 1209.0087v1 · doi: 10.48550/arxiv.1209.0087 · pith_short_12: XGNU3A3FOPFQ · pith_short_16: XGNU3A3FOPFQN47I · pith_short_8: XGNU3A3F

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/XGNU3A3FOPFQN47IX4STP7ZYFW \
  | 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: b99b4d836573cb06f3e8bf2537ff382dab5199fc1b9e925a732f697580b92596

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407699fe666dbc014f23e08d7f1c5230cbc259328dddbb8a213a2966d4108b93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-09-01T12:44:37Z",
    "title_canon_sha256": "f2a28b03d2abc39db5e62d3d5d57488866a6d123078f10c9c17f414296ab1fac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0087",
    "kind": "arxiv",
    "version": 1
  }
}