Pith Number

pith:UCWXBHZJ

pith:2024:UCWXBHZJTEVVDEE2T7M6BWMSP7

not attested not anchored not stored refs pending

On non self-normalizing subgroups

Emanuele Pacifici, Lucia Sanus, Mariagrazia Bianchi, Mark L. Lewis, Rachel D. Camina

arxiv:2411.18102 v1 · 2024-11-27 · 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{UCWXBHZJTEVVDEE2T7M6BWMSP7}

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	2026-07-05T09:41:11.892847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0ad709f29992b51909a9fd9e0d9927fede62e1c815edfba0aa69ed3f89a8625

Aliases

arxiv: 2411.18102 · arxiv_version: 2411.18102v1 · doi: 10.48550/arxiv.2411.18102 · pith_short_12: UCWXBHZJTEVV · pith_short_16: UCWXBHZJTEVVDEE2 · pith_short_8: UCWXBHZJ

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/UCWXBHZJTEVVDEE2T7M6BWMSP7 \
  | 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: a0ad709f29992b51909a9fd9e0d9927fede62e1c815edfba0aa69ed3f89a8625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7621682811cf424e1166295668ef321c12d04eb9fc6cec43c87a03d5abbfe6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-11-27T07:31:04Z",
    "title_canon_sha256": "28c232edb577d81dc1bb971cdc10ce95dea2d32eecc7dcf580ade47bb0641c26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18102",
    "kind": "arxiv",
    "version": 1
  }
}