Pith Number

pith:XQOFFQ62

pith:2012:XQOFFQ62O57VEMY27DLTCZNJQ5

not attested not anchored not stored refs pending

Tracial Rokhlin property and non-commutative dimensions

Qingyun Wang

arxiv:1211.5450 v1 · 2012-11-23 · 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{XQOFFQ62O57VEMY27DLTCZNJQ5}

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	2026-05-18T03:40:04.374252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1c52c3da777f52331af8d73165a98772d2797a23a4b15f7c7d2f51d6e3613a

Aliases

arxiv: 1211.5450 · arxiv_version: 1211.5450v1 · doi: 10.48550/arxiv.1211.5450 · pith_short_12: XQOFFQ62O57V · pith_short_16: XQOFFQ62O57VEMY2 · pith_short_8: XQOFFQ62

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/XQOFFQ62O57VEMY27DLTCZNJQ5 \
  | 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: bc1c52c3da777f52331af8d73165a98772d2797a23a4b15f7c7d2f51d6e3613a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65c39a1e4708b8730b13fdbc253de0cd90bf4c38e19b89806ffb6697ffe78cce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-11-23T09:46:43Z",
    "title_canon_sha256": "ee3a69ed6342eae857f13394f7a36ffd955e59993677501ac119da5ce4fd0c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5450",
    "kind": "arxiv",
    "version": 1
  }
}