Pith Number

pith:7IJQDFJO

pith:2014:7IJQDFJOOSR7WZHE3JZMMNXYTP

not attested not anchored not stored refs pending

$\R^{n} \rtimes G(n)$ is Algebraically Determined

Robert R. Kallman, We'am M. Al-Tameemi

arxiv:1412.6725 v1 · 2014-12-21 · math.GN · 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{7IJQDFJOOSR7WZHE3JZMMNXYTP}

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	2026-05-18T02:30:46.360216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa1301952e74a3fb64e4da72c636f89bdfb9b5dfaa96ebf5c1e75d77e40188b8

Aliases

arxiv: 1412.6725 · arxiv_version: 1412.6725v1 · doi: 10.48550/arxiv.1412.6725 · pith_short_12: 7IJQDFJOOSR7 · pith_short_16: 7IJQDFJOOSR7WZHE · pith_short_8: 7IJQDFJO

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/7IJQDFJOOSR7WZHE3JZMMNXYTP \
  | 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: fa1301952e74a3fb64e4da72c636f89bdfb9b5dfaa96ebf5c1e75d77e40188b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "328266fb1b148c3b67f887970535c6798f82dec6bb4e4cc73a5cee375a01df4b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2014-12-21T05:39:53Z",
    "title_canon_sha256": "7e397b97badca8585bf1fdde675799e7691c27573fbfc70ba16fa0f3a4c97fd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6725",
    "kind": "arxiv",
    "version": 1
  }
}