Pith Number

pith:EJPEDXQR

pith:2018:EJPEDXQRX4UW26JMRSHNEAIBPA

not attested not anchored not stored refs pending

Subgroup growth of all Baumslag-Solitar groups

Andrew James Kelley

arxiv:1807.06090 v1 · 2018-07-16 · 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{EJPEDXQRX4UW26JMRSHNEAIBPA}

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	2026-05-18T00:10:34.087686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

225e41de11bf296d792c8c8ed20101782f846c76ab9b6ec17ff0ce796e0de16d

Aliases

arxiv: 1807.06090 · arxiv_version: 1807.06090v1 · doi: 10.48550/arxiv.1807.06090 · pith_short_12: EJPEDXQRX4UW · pith_short_16: EJPEDXQRX4UW26JM · pith_short_8: EJPEDXQR

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/EJPEDXQRX4UW26JMRSHNEAIBPA \
  | 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: 225e41de11bf296d792c8c8ed20101782f846c76ab9b6ec17ff0ce796e0de16d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d14426f4620595b83d2440a1fda93caa2daf907cda881c379fed11eb9d3df63b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-16T20:17:25Z",
    "title_canon_sha256": "8788c3a2acb8011c7ee966ad04c156c24e08813e03ae38cce6cf7352fd53bcbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06090",
    "kind": "arxiv",
    "version": 1
  }
}