Pith Number

pith:WKZCIYA7

pith:2023:WKZCIYA747UW2KN3L3KI2WFMRB

not attested not anchored not stored refs pending

Generalisations of Thompson's group V arising from purely infinite groupoids

Eusebio Gardella, Owen Tanner

arxiv:2302.04078 v2 · 2023-02-08 · math.GR · math.DS · 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{WKZCIYA747UW2KN3L3KI2WFMRB}

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	2026-07-05T08:12:25.229280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2b224601fe7e96d29bb5ed48d58ac884e5a39240dd08dab679a9593517f69cd

Aliases

arxiv: 2302.04078 · arxiv_version: 2302.04078v2 · doi: 10.48550/arxiv.2302.04078 · pith_short_12: WKZCIYA747UW · pith_short_16: WKZCIYA747UW2KN3 · pith_short_8: WKZCIYA7

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/WKZCIYA747UW2KN3L3KI2WFMRB \
  | 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: b2b224601fe7e96d29bb5ed48d58ac884e5a39240dd08dab679a9593517f69cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1407904fa5b1c959936108ea5c3536b6ab302ac0deeb7a91deb621fcf6ff5468",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-02-08T14:26:08Z",
    "title_canon_sha256": "bbfa1e2b447118612409fb885e0cf978f70debe81baea79f7b274576135cc82b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.04078",
    "kind": "arxiv",
    "version": 2
  }
}