Pith Number

pith:FZ5JXB4W

pith:2019:FZ5JXB4WYJDLP3LBTJORKXCGYY

not attested not anchored not stored refs pending

On verbally closed subgroups of free solvable groups

E.I. Timoshenko, V.A. Roman'kov

arxiv:1906.11689 v1 · 2019-06-26 · 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{FZ5JXB4WYJDLP3LBTJORKXCGYY}

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	2026-05-17T23:42:04.085295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7a9b8796c246b7ed619a5d155c46c61d650564be8934526a42488677f07070

Aliases

arxiv: 1906.11689 · arxiv_version: 1906.11689v1 · doi: 10.48550/arxiv.1906.11689 · pith_short_12: FZ5JXB4WYJDL · pith_short_16: FZ5JXB4WYJDLP3LB · pith_short_8: FZ5JXB4W

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/FZ5JXB4WYJDLP3LBTJORKXCGYY \
  | 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: 2e7a9b8796c246b7ed619a5d155c46c61d650564be8934526a42488677f07070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d84cca51d37e46471b0d41d1e38c3c8e3de0b998ed913dcf97f77efd42d6d51",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-06-26T06:22:19Z",
    "title_canon_sha256": "9a96b63c8955d4a576ebba9aad8ae3e761faca1825431fe249fd22791b840a5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11689",
    "kind": "arxiv",
    "version": 1
  }
}