Pith Number

pith:UUSBMCQ3

pith:2009:UUSBMCQ36G7W7FLQGMRO56BNS2

not attested not anchored not stored refs pending

On primordial groups for the Green ring

Alberto Raggi-Cardenas, Nadia Romero

arxiv:0902.3169 v6 · 2009-02-18 · math.RT · 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{UUSBMCQ36G7W7FLQGMRO56BNS2}

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	2026-05-18T03:34:14.403966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a524160a1bf1bf6f95703322eef82d9699e83f533570693844494c285b7a8940

Aliases

arxiv: 0902.3169 · arxiv_version: 0902.3169v6 · doi: 10.48550/arxiv.0902.3169 · pith_short_12: UUSBMCQ36G7W · pith_short_16: UUSBMCQ36G7W7FLQ · pith_short_8: UUSBMCQ3

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/UUSBMCQ36G7W7FLQGMRO56BNS2 \
  | 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: a524160a1bf1bf6f95703322eef82d9699e83f533570693844494c285b7a8940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3532cb6b4456be72ff34499764a9e9ff56f11b6d89957aa6a44ed9cf173cdef1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-02-18T15:57:17Z",
    "title_canon_sha256": "60441a8d39de677f6c9b8b97a3fbf0e5667c9c9b9c6c286955adb5fbcda3dd9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3169",
    "kind": "arxiv",
    "version": 6
  }
}