Pith Number

pith:KK4BP6PB

pith:2017:KK4BP6PBNZFQVXJLAKUA2T67UF

not attested not anchored not stored refs pending

Endomorphisms of the Cuntz Algebras and the Thompson Groups

Jeong Hee Hong, Sel\c{c}uk Barlak, Wojciech Szymanski

arxiv:1703.06798 v2 · 2017-03-20 · math.OA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KK4BP6PBNZFQVXJLAKUA2T67UF}

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	2026-05-18T00:32:20.746427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b817f9e16e4b0add2b02a80d4fdfa141c47d2c5e7e2cf5b78939d665ad6796

Aliases

arxiv: 1703.06798 · arxiv_version: 1703.06798v2 · doi: 10.48550/arxiv.1703.06798 · pith_short_12: KK4BP6PBNZFQ · pith_short_16: KK4BP6PBNZFQVXJL · pith_short_8: KK4BP6PB

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/KK4BP6PBNZFQVXJLAKUA2T67UF \
  | 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: 52b817f9e16e4b0add2b02a80d4fdfa141c47d2c5e7e2cf5b78939d665ad6796

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81f5da82be0a4d0e9b0d47dabdfa9c550c7fd9c8285dcaf69c20a6a58eaf31f9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-03-20T15:23:50Z",
    "title_canon_sha256": "556b91efad2629752963cc903d42fed55f5fe73a955804195ed7bf374ebdb627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06798",
    "kind": "arxiv",
    "version": 2
  }
}