Pith Number

pith:4DMTXHGM

pith:2025:4DMTXHGMADC3DXXERE2HJXKTPF

not attested not anchored not stored refs pending

Groups of finite type: classification and structural properties

Santiago Radi

arxiv:2509.03927 v1 · 2025-09-04 · 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{4DMTXHGMADC3DXXERE2HJXKTPF}

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	2026-07-05T12:04:49.967857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d93b9ccc00c5b1dee4893474dd53794792e7f245a86f5251749846f46777d4

Aliases

arxiv: 2509.03927 · arxiv_version: 2509.03927v1 · doi: 10.48550/arxiv.2509.03927 · pith_short_12: 4DMTXHGMADC3 · pith_short_16: 4DMTXHGMADC3DXXE · pith_short_8: 4DMTXHGM

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/4DMTXHGMADC3DXXERE2HJXKTPF \
  | 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: e0d93b9ccc00c5b1dee4893474dd53794792e7f245a86f5251749846f46777d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce3384b8c9e9c0fc05cbe2f4675e29b63be1e572daaa57c7f69e982baa998d53",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-09-04T06:31:46Z",
    "title_canon_sha256": "133fc5fa1e6ac1c74501ab5cac53d18f72b8728be57b6f2c55c4df3fcd125b92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03927",
    "kind": "arxiv",
    "version": 1
  }
}