Pith Number

pith:NZP4PNLU

pith:2011:NZP4PNLU5SPF2WZ2IZ6EDOCGRE

not attested not anchored not stored refs pending

Turbulence, orbit equivalence, and the classification of nuclear C*-algebras

Andrew S. Toms, Asger Tornquist, Ilijas Farah

arxiv:1105.6074 v2 · 2011-05-30 · math.OA · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZP4PNLU5SPF2WZ2IZ6EDOCGRE}

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	2026-05-18T03:57:25.156582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e5fc7b574ec9e5d5b3a467c41b84689261aee258c4986b89878c4ba421dff66

Aliases

arxiv: 1105.6074 · arxiv_version: 1105.6074v2 · doi: 10.48550/arxiv.1105.6074 · pith_short_12: NZP4PNLU5SPF · pith_short_16: NZP4PNLU5SPF2WZ2 · pith_short_8: NZP4PNLU

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/NZP4PNLU5SPF2WZ2IZ6EDOCGRE \
  | 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: 6e5fc7b574ec9e5d5b3a467c41b84689261aee258c4986b89878c4ba421dff66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b4b6b62a2b764705b4550c62be5f118f7a40d508682a315e80f3f71ba4eefcf",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-05-30T19:09:44Z",
    "title_canon_sha256": "5392105b4d78959e8b6dcf9da9b0f685ac8f33c9f3cb1e0dce0ceefd18fc2f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6074",
    "kind": "arxiv",
    "version": 2
  }
}