Pith Number

pith:X4I33QPC

pith:2015:X4I33QPCJFRJJSGLTIJ5WJWQ67

not attested not anchored not stored refs pending

Existence and genericity of finite topological generating sets for homeomorphism groups

Azer Akhmedov, Michael P. Cohen

arxiv:1508.04604 v2 · 2015-08-19 · math.GR · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4I33QPCJFRJJSGLTIJ5WJWQ67}

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	2026-05-18T01:30:14.943643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf11bdc1e2496294c8cb9a13db26d0f7d0b800b8467e5d5bff3ac9511146d984

Aliases

arxiv: 1508.04604 · arxiv_version: 1508.04604v2 · doi: 10.48550/arxiv.1508.04604 · pith_short_12: X4I33QPCJFRJ · pith_short_16: X4I33QPCJFRJJSGL · pith_short_8: X4I33QPC

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/X4I33QPCJFRJJSGLTIJ5WJWQ67 \
  | 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: bf11bdc1e2496294c8cb9a13db26d0f7d0b800b8467e5d5bff3ac9511146d984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd8cbf2f5a4cdfc2929cae50ff3bc30e6f4a3383c28abdc59127b385ca2c0cc8",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-08-19T11:32:50Z",
    "title_canon_sha256": "e955aaa13659ff848a15cf5b66dacc48283556d563c4e229547f07298e623f39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04604",
    "kind": "arxiv",
    "version": 2
  }
}