Pith Number

pith:UE5LJFLB

pith:2019:UE5LJFLBFVX4YWCCIDYXPPFG5Z

not attested not anchored not stored refs pending

The homotopy groups of the automorphism groups of Cuntz-Toeplitz algebras

Taro Sogabe

arxiv:1903.02796 v2 · 2019-03-07 · 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{UE5LJFLBFVX4YWCCIDYXPPFG5Z}

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	2026-05-17T23:50:44.494352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13ab495612d6fcc584240f177bca6ee5a6842605c4418bce25f11e3eb96f7b9

Aliases

arxiv: 1903.02796 · arxiv_version: 1903.02796v2 · doi: 10.48550/arxiv.1903.02796 · pith_short_12: UE5LJFLBFVX4 · pith_short_16: UE5LJFLBFVX4YWCC · pith_short_8: UE5LJFLB

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/UE5LJFLBFVX4YWCCIDYXPPFG5Z \
  | 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: a13ab495612d6fcc584240f177bca6ee5a6842605c4418bce25f11e3eb96f7b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d622ef5249d00862b6213043a5cec3937e035e8f6c3e9f14f35120e3352912",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-03-07T09:52:06Z",
    "title_canon_sha256": "4a458bd9b8ff473828a5f6966e139275687d9d308f370c5af950f16c4b3b3e06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02796",
    "kind": "arxiv",
    "version": 2
  }
}