Pith Number

pith:RO3S22VH

pith:2012:RO3S22VHKGNZRM3R5QZA35EYFG

not attested not anchored not stored refs pending

C*-algebras associated with endomorphisms and polymorphisms of compact abelian groups

Anatoly Vershik, Joachim Cuntz

arxiv:1202.5960 v2 · 2012-02-27 · 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{RO3S22VHKGNZRM3R5QZA35EYFG}

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	2026-05-18T01:58:19.249373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bb72d6aa7519b98b371ec320df4982987fbf983263da0b7d55430801ad98266

Aliases

arxiv: 1202.5960 · arxiv_version: 1202.5960v2 · doi: 10.48550/arxiv.1202.5960 · pith_short_12: RO3S22VHKGNZ · pith_short_16: RO3S22VHKGNZRM3R · pith_short_8: RO3S22VH

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/RO3S22VHKGNZRM3R5QZA35EYFG \
  | 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: 8bb72d6aa7519b98b371ec320df4982987fbf983263da0b7d55430801ad98266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40914619d928bbed111a06c27ec5fc955951f9d746570441c4067f83135c0116",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-02-27T14:53:55Z",
    "title_canon_sha256": "dfdd42c2b85afc305dc523a82ba3b3f4a56dc8fe96f263df78f01af1cb302953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5960",
    "kind": "arxiv",
    "version": 2
  }
}