Pith Number

pith:OMWQ4HQE

pith:2026:OMWQ4HQET2BTN6KODEGICP7HIT

not attested not anchored not stored refs pending

A Torsion-free Supersoluble Group with Trivial Outer Automorphism Group

Ernesto Ingrosso, Marco Trombetti, Mattia Brescia

arxiv:2607.11775 v1 · 2026-07-13 · 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{OMWQ4HQET2BTN6KODEGICP7HIT}

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	2026-07-14T02:22:31.955834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

732d0e1e049e8336f94e190c813fe744db128f62b149cc6c00ce1c6b690d46e8

Aliases

arxiv: 2607.11775 · arxiv_version: 2607.11775v1 · doi: 10.48550/arxiv.2607.11775 · pith_short_12: OMWQ4HQET2BT · pith_short_16: OMWQ4HQET2BTN6KO · pith_short_8: OMWQ4HQE

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/OMWQ4HQET2BTN6KODEGICP7HIT \
  | 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: 732d0e1e049e8336f94e190c813fe744db128f62b149cc6c00ce1c6b690d46e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07bd1cf689202aa05f806a22cfd09fcb42f988f673c7566dac66f6fa17d6dde6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-13T16:32:41Z",
    "title_canon_sha256": "7753ac4cd787f97e258bcf0ce1ef91245382a5da0866199f2daaa61b15b36306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11775",
    "kind": "arxiv",
    "version": 1
  }
}