Pith Number

pith:CCE5P4UK

pith:2026:CCE5P4UKVEOKT7SU6OSC7G6ATL

not attested not anchored not stored refs pending

Higman--Thompson groups $F_n$ all the way down

Gili Golan

arxiv:2607.04038 v1 · 2026-07-04 · 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{CCE5P4UKVEOKT7SU6OSC7G6ATL}

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	2026-07-07T02:18:54.521016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1089d7f28aa91ca9fe54f3a42f9bc09af323542e5ab62ac84c29472e9a5a5661

Aliases

arxiv: 2607.04038 · arxiv_version: 2607.04038v1 · doi: 10.48550/arxiv.2607.04038 · pith_short_12: CCE5P4UKVEOK · pith_short_16: CCE5P4UKVEOKT7SU · pith_short_8: CCE5P4UK

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/CCE5P4UKVEOKT7SU6OSC7G6ATL \
  | 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: 1089d7f28aa91ca9fe54f3a42f9bc09af323542e5ab62ac84c29472e9a5a5661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed4f8a76128cd808a9e6d294e035c7e6abf54d4d7b873d5a44e872c00e86b76b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-04T21:53:37Z",
    "title_canon_sha256": "0162c5474d87b08f0e963d04b58faee001e8e9406a79bec17ff856e0cc364a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04038",
    "kind": "arxiv",
    "version": 1
  }
}