Pith Number

pith:5F26X3UH

pith:2017:5F26X3UHI7LZGCY3XYA5VY5GNP

not attested not anchored not stored refs pending

On the smallest non-abelian quotient of $\mathrm{Aut}(F_n)$

Barbara Baumeister, Dawid Kielak, Emilio Pierro

arxiv:1705.02885 v2 · 2017-05-08 · 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{5F26X3UHI7LZGCY3XYA5VY5GNP}

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	2026-05-17T23:53:33.930168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e975ebee8747d7930b1bbe01dae3a66bde90afacf9dfbf9ed2774d70f8d09b39

Aliases

arxiv: 1705.02885 · arxiv_version: 1705.02885v2 · doi: 10.48550/arxiv.1705.02885 · pith_short_12: 5F26X3UHI7LZ · pith_short_16: 5F26X3UHI7LZGCY3 · pith_short_8: 5F26X3UH

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/5F26X3UHI7LZGCY3XYA5VY5GNP \
  | 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: e975ebee8747d7930b1bbe01dae3a66bde90afacf9dfbf9ed2774d70f8d09b39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ac66a0406734ccf09c3e8946d083999e7897ab2eb2eea20b80c6704eda9d70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-08T14:05:18Z",
    "title_canon_sha256": "773420c22dd8b80d28e2f3d0c59f2391788b630dd37317e2115ebf02f9861f5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02885",
    "kind": "arxiv",
    "version": 2
  }
}