Pith Number

pith:D7TE6GNR

pith:2012:D7TE6GNR7HME5WXZO4TRGQ5HVB

not attested not anchored not stored refs pending

Graded Skew Clifford Algebras that are Twists of Graded Clifford Algebras

Manizheh Nafari, Michaela Vancliff

arxiv:1204.0044 v3 · 2012-03-30 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7TE6GNR7HME5WXZO4TRGQ5HVB}

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	2026-05-18T02:51:42.611372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe64f19b1f9d84edaf977271343a7a8794a03226340ebad8159c666c60706b4

Aliases

arxiv: 1204.0044 · arxiv_version: 1204.0044v3 · doi: 10.48550/arxiv.1204.0044 · pith_short_12: D7TE6GNR7HME · pith_short_16: D7TE6GNR7HME5WXZ · pith_short_8: D7TE6GNR

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/D7TE6GNR7HME5WXZO4TRGQ5HVB \
  | 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: 1fe64f19b1f9d84edaf977271343a7a8794a03226340ebad8159c666c60706b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc101a4a360f4e64656ed0bdee2626acfcadf5856c2f2a0e30520cf7ed34cf01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-03-30T22:57:38Z",
    "title_canon_sha256": "032c59ce56d5995954a39a1938e5731618a03bbd1b2908f04a606b3b53919474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0044",
    "kind": "arxiv",
    "version": 3
  }
}