Pith Number

pith:XOM65EB2

pith:2010:XOM65EB26E2JC6TJVLB3S6SOVV

not attested not anchored not stored refs pending

The Clifford Algebra Approach to Quantum Mechanics B: The Dirac Particle and its relation to the Bohm Approach

B.J.Hiley, R.E.Callaghan

arxiv:1011.4033 v1 · 2010-11-17 · math-ph · math.MP · 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{XOM65EB26E2JC6TJVLB3S6SOVV}

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	2026-05-18T04:35:47.189843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb99ee903af134917a69aac3b97a4ead563a9acad9109f5a59d96252861db88f

Aliases

arxiv: 1011.4033 · arxiv_version: 1011.4033v1 · doi: 10.48550/arxiv.1011.4033 · pith_short_12: XOM65EB26E2J · pith_short_16: XOM65EB26E2JC6TJ · pith_short_8: XOM65EB2

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/XOM65EB26E2JC6TJVLB3S6SOVV \
  | 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: bb99ee903af134917a69aac3b97a4ead563a9acad9109f5a59d96252861db88f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34d03c3c7aa6806f34b10f8c6df182969238ce94404df6d6111a30a38402426c",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-17T19:24:49Z",
    "title_canon_sha256": "42c9301425cebddbcf58556b75ae6a7b3eecabce7ff86099af73346903ab5424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4033",
    "kind": "arxiv",
    "version": 1
  }
}