Pith Number

pith:AXKXUBHU

pith:2014:AXKXUBHU64X44GF4HMD5Y5IHEU

not attested not anchored not stored refs pending

Characteristic random subgroups of geometric groups and free abelian groups of infinite rank

Lewis Bowen, Rostislav Grigorchuk, Rostyslav Kravchenko

arxiv:1402.3705 v3 · 2014-02-15 · math.GR · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXKXUBHU64X44GF4HMD5Y5IHEU}

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	2026-05-18T01:59:58.796953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d57a04f4f72fce18bc3b07dc75072534d39ebccaa6b53df0213c9dc0a35d4a

Aliases

arxiv: 1402.3705 · arxiv_version: 1402.3705v3 · doi: 10.48550/arxiv.1402.3705 · pith_short_12: AXKXUBHU64X4 · pith_short_16: AXKXUBHU64X44GF4 · pith_short_8: AXKXUBHU

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/AXKXUBHU64X44GF4HMD5Y5IHEU \
  | 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: 05d57a04f4f72fce18bc3b07dc75072534d39ebccaa6b53df0213c9dc0a35d4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd06ef720c021f8bd7ff8cfdd383d0eaa7c087755961ac9eaac4b475ba75dd22",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-15T17:01:10Z",
    "title_canon_sha256": "bcba3c16ff63133bf26ecf5744333e84a9ccb556b34d62b56aad8696f86caabe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3705",
    "kind": "arxiv",
    "version": 3
  }
}