Pith Number

pith:SIBO6RZ5

pith:2016:SIBO6RZ56N3YKSM4YCCPO2FMZ6

not attested not anchored not stored refs pending

The existence of non-inner automorphisms of order p in finite thin p-groups

Leire Legarreta, Marco Ruscitti

arxiv:1604.07267 v1 · 2016-04-25 · 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{SIBO6RZ56N3YKSM4YCCPO2FMZ6}

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	2026-05-18T01:16:22.587132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9202ef473df37785499cc084f768accf8df9c8228334e333776b465071338a14

Aliases

arxiv: 1604.07267 · arxiv_version: 1604.07267v1 · doi: 10.48550/arxiv.1604.07267 · pith_short_12: SIBO6RZ56N3Y · pith_short_16: SIBO6RZ56N3YKSM4 · pith_short_8: SIBO6RZ5

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/SIBO6RZ56N3YKSM4YCCPO2FMZ6 \
  | 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: 9202ef473df37785499cc084f768accf8df9c8228334e333776b465071338a14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd82f4a3f6d3b0f2e01493ae345a5124cb4350e2f1bdf2278c9e6bd8c3c5438c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-04-25T14:06:11Z",
    "title_canon_sha256": "9514bc7d7af54fc121193721f6cb08959b8ff5644766b0952c5eaa35c5dc647a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07267",
    "kind": "arxiv",
    "version": 1
  }
}