Pith Number

pith:L6GFNND6

pith:2008:L6GFNND6B3MCMCDC2S3R3VBPK7

not attested not anchored not stored refs pending

Crossed Product of Cyclic Groups

Ana-Loredana Agore, Dragos Fratila

arxiv:0809.0433 v2 · 2008-09-02 · 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{L6GFNND6B3MCMCDC2S3R3VBPK7}

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	2026-05-18T02:58:31.076653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f8c56b47e0ed8260862d4b71dd42f57e9339efceca890a79c59debd69ee7d7d

Aliases

arxiv: 0809.0433 · arxiv_version: 0809.0433v2 · doi: 10.48550/arxiv.0809.0433 · pith_short_12: L6GFNND6B3MC · pith_short_16: L6GFNND6B3MCMCDC · pith_short_8: L6GFNND6

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/L6GFNND6B3MCMCDC2S3R3VBPK7 \
  | 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: 5f8c56b47e0ed8260862d4b71dd42f57e9339efceca890a79c59debd69ee7d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b886a7de3c597406951570454ab20c4f4d1435add9ae1779bac65ad5c109e05a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-09-02T13:04:46Z",
    "title_canon_sha256": "3eca1ada5adbcd2711d38359179b480ca371dc027b7bbb3fc3719b8cd77c8e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0433",
    "kind": "arxiv",
    "version": 2
  }
}