Pith Number

pith:4BBQS2JO

pith:2018:4BBQS2JOF447ZNXISOZBQYNUVP

not attested not anchored not stored refs pending

Embeddings of finite groups in $B_n/\Gamma_k(P_n)$ for $k=2, 3$

CNRS, Daciberg Lima Gon\c{c}alves (IME, John Guaschi (LMNO, NU), Oscar Ocampo (UFBA), UNICAEN, USP)

arxiv:1805.11379 v4 · 2018-05-29 · math.GT · 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{4BBQS2JOF447ZNXISOZBQYNUVP}

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	2026-05-18T00:01:48.887885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e04309692e2f39fcb6e893b21861b4abe9e1cb1197cfb50f4aa262328dc57f83

Aliases

arxiv: 1805.11379 · arxiv_version: 1805.11379v4 · doi: 10.48550/arxiv.1805.11379 · pith_short_12: 4BBQS2JOF447 · pith_short_16: 4BBQS2JOF447ZNXI · pith_short_8: 4BBQS2JO

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/4BBQS2JOF447ZNXISOZBQYNUVP \
  | 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: e04309692e2f39fcb6e893b21861b4abe9e1cb1197cfb50f4aa262328dc57f83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a238e9ad40bc8ef8046c9d87582628c061cf3a94f5becbb7705f54e40fa56dc",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-05-29T12:11:58Z",
    "title_canon_sha256": "f4c478cb18a877feee966d74d3ea244883eb89dfba5b96a3bd3ec98ef53cfb92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11379",
    "kind": "arxiv",
    "version": 4
  }
}