Pith Number

pith:GQ2PSS6D

pith:2011:GQ2PSS6DDPASGCCAISSATPAHGV

not attested not anchored not stored refs pending

Quaternion types of Clifford algebra elements, basis-free approach

D. S. Shirokov

arxiv:1109.2322 v1 · 2011-09-11 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQ2PSS6DDPASGCCAISSATPAHGV}

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	2026-05-18T04:13:37.969974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3434f94bc31bc123084044a409bc0735609fec9901cbc1955a3a53a67335cdce

Aliases

arxiv: 1109.2322 · arxiv_version: 1109.2322v1 · doi: 10.48550/arxiv.1109.2322 · pith_short_12: GQ2PSS6DDPAS · pith_short_16: GQ2PSS6DDPASGCCA · pith_short_8: GQ2PSS6D

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/GQ2PSS6DDPASGCCAISSATPAHGV \
  | 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: 3434f94bc31bc123084044a409bc0735609fec9901cbc1955a3a53a67335cdce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87ae9ae4e104b2d29fa78d6a2000d912ef678c84b20946efa65a2ca4f95a41c9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-11T15:12:32Z",
    "title_canon_sha256": "bd72c172ab1ff0b00801b866cce87ca47ac31ed26eb3fed470cb4ed2f49b0f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2322",
    "kind": "arxiv",
    "version": 1
  }
}