Pith Number

pith:XQFMYEPW

pith:2009:XQFMYEPWOZBKRMOIVT3GXKFF2Q

not attested not anchored not stored refs pending

Clifford algebra, geometric algebra, and applications

Douglas Lundholm, Lars Svensson

arxiv:0907.5356 v1 · 2009-07-30 · math-ph · math.MP · 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{XQFMYEPWOZBKRMOIVT3GXKFF2Q}

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

3 papers in Pith

Equivariant Quantum Cohomology of Grassmannians via the Clifford algebra

Generalize cross-ratios in n-dimensional Plane-Based Geometric Algebra

On the geometric algebras of the Ising model

Receipt and verification

First computed	2026-07-04T15:47:06.637889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0acc11f67642a8b1c8acf66ba8a5d417cdf410e2832c11e07d3d77565dd7be

Aliases

arxiv: 0907.5356 · arxiv_version: 0907.5356v1 · doi: 10.48550/arxiv.0907.5356 · pith_short_12: XQFMYEPWOZBK · pith_short_16: XQFMYEPWOZBKRMOI · pith_short_8: XQFMYEPW

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/XQFMYEPWOZBKRMOIVT3GXKFF2Q \
  | 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: bc0acc11f67642a8b1c8acf66ba8a5d417cdf410e2832c11e07d3d77565dd7be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e1da6879575e4018c54a383c28c3526ebaff86fbd03eebd14691b7b1cbc89b",
    "cross_cats_sorted": [
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-07-30T14:21:38Z",
    "title_canon_sha256": "7102ef28702828cab01e7dc386ed54dc7bb1b55209aa46bcee251ce16cf6d39b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5356",
    "kind": "arxiv",
    "version": 1
  }
}