Pith Number

pith:2NP7D2RV

pith:2016:2NP7D2RVG3NMBF4TTSXHZZ4QPD

not attested not anchored not stored refs pending

Rokhlin dimension of Z^m actions on simple C*-algebras

Hung-Chang Liao

arxiv:1608.01051 v2 · 2016-08-03 · 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{2NP7D2RVG3NMBF4TTSXHZZ4QPD}

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	2026-05-18T00:30:32.974334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d35ff1ea3536dac097939cae7ce79078f82434dd9db6b84cea65abfe3fffd3b1

Aliases

arxiv: 1608.01051 · arxiv_version: 1608.01051v2 · doi: 10.48550/arxiv.1608.01051 · pith_short_12: 2NP7D2RVG3NM · pith_short_16: 2NP7D2RVG3NMBF4T · pith_short_8: 2NP7D2RV

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/2NP7D2RVG3NMBF4TTSXHZZ4QPD \
  | 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: d35ff1ea3536dac097939cae7ce79078f82434dd9db6b84cea65abfe3fffd3b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd58fe50cf2ab6d6fd47faad474395e72d0b259357ca24ae2fdc42d07f494497",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-08-03T02:04:45Z",
    "title_canon_sha256": "dc20b02ed229d37b6b129ceb1af214cccc31efdde7a4b6eeb13629bd8e3bfdb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01051",
    "kind": "arxiv",
    "version": 2
  }
}