Pith Number

pith:TKDFVOAZ

pith:2012:TKDFVOAZH7QJUFC2MA7KRXZHOI

not attested not anchored not stored refs pending

The probability of generating the symmetric group with a commutator condition

David Zmiaikou

arxiv:1205.6718 v2 · 2012-05-30 · math.GR · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKDFVOAZH7QJUFC2MA7KRXZHOI}

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.

Cited by

1 paper in Pith

Complexity of Billiards in Polygons Associated to Hyperbolic $(p,q)$-Tilings

Receipt and verification

First computed	2026-05-18T03:05:18.932844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a865ab8193fe09a145a603ea8df2772271f73bc196710dd3df8e85383fd190d

Aliases

arxiv: 1205.6718 · arxiv_version: 1205.6718v2 · doi: 10.48550/arxiv.1205.6718 · pith_short_12: TKDFVOAZH7QJ · pith_short_16: TKDFVOAZH7QJUFC2 · pith_short_8: TKDFVOAZ

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/TKDFVOAZH7QJUFC2MA7KRXZHOI \
  | 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: 9a865ab8193fe09a145a603ea8df2772271f73bc196710dd3df8e85383fd190d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2f1cc7cef1100ffa02d2d1c3753818355d67b1adbbbd97f81b68b7e903ac09c",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-30T15:11:09Z",
    "title_canon_sha256": "5154788277ae23c45803715abbea8fea29353e52e18184e9dca4da7603509d32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6718",
    "kind": "arxiv",
    "version": 2
  }
}