Pith Number

pith:WGJEKB7L

pith:2014:WGJEKB7LHZKUPPIVDK5XQDUJ57

not attested not anchored not stored refs pending

The quaternionic commutator bracket and its implications

Arbab I. Arbab, Mudhahir Al-Ajmi

arxiv:1401.5315 v2 · 2014-01-21 · physics.gen-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGJEKB7LHZKUPPIVDK5XQDUJ57}

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	2026-05-18T00:02:22.762401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1924507eb3e5547bd151abb780e89efed419e54351a417e6175fc1058bc7165

Aliases

arxiv: 1401.5315 · arxiv_version: 1401.5315v2 · doi: 10.48550/arxiv.1401.5315 · pith_short_12: WGJEKB7LHZKU · pith_short_16: WGJEKB7LHZKUPPIV · pith_short_8: WGJEKB7L

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/WGJEKB7LHZKUPPIVDK5XQDUJ57 \
  | 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: b1924507eb3e5547bd151abb780e89efed419e54351a417e6175fc1058bc7165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9622d0f7f83ec8a4555e50730730186cd762a573cce2f54b3d0fe4fa7f2a249d",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2014-01-21T13:34:54Z",
    "title_canon_sha256": "2b91ae2442b7616c589ddc052da2e5ea6ee13934c993b5ec407b9e8731f5380d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5315",
    "kind": "arxiv",
    "version": 2
  }
}