Pith Number

pith:GV3AQOC7

pith:2017:GV3AQOC7INT6TPPABJOQPCEYFI

not attested not anchored not stored refs pending

$\operatorname{Aut}(\mathbb{F}_5)$ has property $(T)$

Marek Kaluba, Narutaka Ozawa, Piotr W. Nowak

arxiv:1712.07167 v2 · 2017-12-19 · math.GR · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GV3AQOC7INT6TPPABJOQPCEYFI}

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.

Cited by

1 paper in Pith

Abelianizations of finite-index subgroups of the handlebody group

Receipt and verification

First computed	2026-07-05T02:08:15.698205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

357608385f4367e9bde00a5d0788982a028eb8a8bbcdca7114d64183fed1350a

Aliases

arxiv: 1712.07167 · arxiv_version: 1712.07167v2 · doi: 10.48550/arxiv.1712.07167 · pith_short_12: GV3AQOC7INT6 · pith_short_16: GV3AQOC7INT6TPPA · pith_short_8: GV3AQOC7

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/GV3AQOC7INT6TPPABJOQPCEYFI \
  | 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: 357608385f4367e9bde00a5d0788982a028eb8a8bbcdca7114d64183fed1350a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b39f530b033166e07fe3a406df5bd150d91b3a77e5125fa5736a6ed9956cc2f5",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-12-19T19:35:37Z",
    "title_canon_sha256": "e507a3eba7c62f6bf4856fe8e3599298dcb05c504dd6950b62c7b85ad86d731a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07167",
    "kind": "arxiv",
    "version": 2
  }
}