Pith Number

pith:VJ3CVRU7

pith:2016:VJ3CVRU7XQJQ2ORBVLLXHYOIGY

not attested not anchored not stored refs pending

Simple nuclear C*-algebras not equivariantly isomorphic to their opposites

Ilan Hirshberg, Marius Dadarlat, N.Christopher Phillips

arxiv:1602.04612 v1 · 2016-02-15 · 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{VJ3CVRU7XQJQ2ORBVLLXHYOIGY}

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	2026-05-18T01:20:49.534234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa762ac69fbc130d3a21aad773e1c83600845fb647ba00fb018adf65690e2e08

Aliases

arxiv: 1602.04612 · arxiv_version: 1602.04612v1 · doi: 10.48550/arxiv.1602.04612 · pith_short_12: VJ3CVRU7XQJQ · pith_short_16: VJ3CVRU7XQJQ2ORB · pith_short_8: VJ3CVRU7

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/VJ3CVRU7XQJQ2ORBVLLXHYOIGY \
  | 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: aa762ac69fbc130d3a21aad773e1c83600845fb647ba00fb018adf65690e2e08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f65c537aa91d7062f37afc980850fafedea4f80aae7b34848dd0e93417bf809b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-02-15T10:20:47Z",
    "title_canon_sha256": "b604322f79656ce615c7274815db313a6bf1ca44ab65abd07fedb50ab4772ef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04612",
    "kind": "arxiv",
    "version": 1
  }
}