Pith Number

pith:D6IOGIPK

pith:2008:D6IOGIPKJ2DLDVOZ5QO25L7NJR

not attested not anchored not stored refs pending

Clifford Algebras, Clifford Groups, and a Generalization of the Quaternions

Jean Gallier

arxiv:0805.0311 v3 · 2008-05-02 · math.GM · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6IOGIPKJ2DLDVOZ5QO25L7NJR}

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.

Cited by

1 paper in Pith

Representations of the D=2 Euclidean and Poincar\'e groups

Receipt and verification

First computed	2026-05-18T02:41:51.660135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f90e321ea4e86b1d5d9ec1daeafed4c600bc9cdb441bd503cb46dd5c4ba1139

Aliases

arxiv: 0805.0311 · arxiv_version: 0805.0311v3 · doi: 10.48550/arxiv.0805.0311 · pith_short_12: D6IOGIPKJ2DL · pith_short_16: D6IOGIPKJ2DLDVOZ · pith_short_8: D6IOGIPK

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/D6IOGIPKJ2DLDVOZ5QO25L7NJR \
  | 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: 1f90e321ea4e86b1d5d9ec1daeafed4c600bc9cdb441bd503cb46dd5c4ba1139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f75e1a0b7a97756474435a104247531b89a7fb5ae68dbe43f7763105b20703af",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2008-05-02T20:48:04Z",
    "title_canon_sha256": "9620550b40d370589a63a66105126fcb9110d1c35e133aa623c80eeee7ee74e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.0311",
    "kind": "arxiv",
    "version": 3
  }
}