Pith Number

pith:CLAAJGVC

pith:2012:CLAAJGVCQ3KECBGXSSROIPXHQS

not attested not anchored not stored refs pending

Quotients of CI-groups are CI-groups

Edward Dobson, Joy Morris

arxiv:1203.0704 v1 · 2012-03-04 · math.CO · 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{CLAAJGVCQ3KECBGXSSROIPXHQS}

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	2026-05-18T04:00:50.822487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12c0049aa286d44104d794a2e43ee7849593a251a3d68c615c71c4ac226e9f87

Aliases

arxiv: 1203.0704 · arxiv_version: 1203.0704v1 · doi: 10.48550/arxiv.1203.0704 · pith_short_12: CLAAJGVCQ3KE · pith_short_16: CLAAJGVCQ3KECBGX · pith_short_8: CLAAJGVC

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/CLAAJGVCQ3KECBGXSSROIPXHQS \
  | 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: 12c0049aa286d44104d794a2e43ee7849593a251a3d68c615c71c4ac226e9f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6446a97da24445bb1f9a69a8382c383131fe42dc3a23a3e50a0d9c323943602",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-04T04:16:57Z",
    "title_canon_sha256": "e0bbc9b7d7e1b85c924637f61c02a3064dd85f26b5b75265a1d43259f4275a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0704",
    "kind": "arxiv",
    "version": 1
  }
}