Pith Number

pith:CTCXLYUD

pith:2012:CTCXLYUD4P6HSQER3UE4RJMAKG

not attested not anchored not stored refs pending

Simply transitive geodesic ball packings to $S^2 \times R$ space groups generated by glide reflections

Jen\H{o} Szirmai

arxiv:1206.0566 v1 · 2012-06-04 · math.MG · 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{CTCXLYUD4P6HSQER3UE4RJMAKG}

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	2026-05-18T03:54:17.306671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c575e283e3fc794091dd09c8a58051b5d09943ab96588f219478765df45507

Aliases

arxiv: 1206.0566 · arxiv_version: 1206.0566v1 · doi: 10.48550/arxiv.1206.0566 · pith_short_12: CTCXLYUD4P6H · pith_short_16: CTCXLYUD4P6HSQER · pith_short_8: CTCXLYUD

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/CTCXLYUD4P6HSQER3UE4RJMAKG \
  | 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: 14c575e283e3fc794091dd09c8a58051b5d09943ab96588f219478765df45507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f11daa419614bcd44c4ec45f97eb1b13f63f93b656eefa3467ff85a1f534216d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-06-04T09:50:53Z",
    "title_canon_sha256": "b28a137e5fbebe03914ba75d5708c23097a6ce4bc03c43d2ca1e0c1e04fa7255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0566",
    "kind": "arxiv",
    "version": 1
  }
}