Pith Number

pith:DIFWET3P

pith:2015:DIFWET3PZXECBSUEUB3GDMBC3M

not attested not anchored not stored refs pending

Minimal exponential growth rates of metabelian Baumslag-Solitar groups and lamplighter groups

Alexey Talambutsa, Michelle Bucher

arxiv:1506.03569 v1 · 2015-06-11 · 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{DIFWET3PZXECBSUEUB3GDMBC3M}

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	2026-05-18T01:53:03.804166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a0b624f6fcdc820ca84a07661b022db0782f682bfef5b6e56ff6db9444f9ef2

Aliases

arxiv: 1506.03569 · arxiv_version: 1506.03569v1 · doi: 10.48550/arxiv.1506.03569 · pith_short_12: DIFWET3PZXEC · pith_short_16: DIFWET3PZXECBSUE · pith_short_8: DIFWET3P

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/DIFWET3PZXECBSUEUB3GDMBC3M \
  | 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: 1a0b624f6fcdc820ca84a07661b022db0782f682bfef5b6e56ff6db9444f9ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0862b880113704f667ecf61152a98f6d08f189c85b69c0448cd5e3bbbee9c05f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-06-11T07:10:55Z",
    "title_canon_sha256": "1c1be5da143fdbd2336378fe7da7ad576c3d47542a68a861d711aec24c2dd1f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03569",
    "kind": "arxiv",
    "version": 1
  }
}