Pith Number

pith:ICC2G7VJ

pith:2011:ICC2G7VJCK7X2XHCQMENCQHSPN

not attested not anchored not stored refs pending

The Lorentz Group, Noncommutative Space-Time, and Nonlinear Electrodynamics in Majorana-Oppenheimer Formalism

E. Tolkachev, V. Red'kov

arxiv:1109.1933 v1 · 2011-09-09 · math-ph · math.MP · physics.class-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{ICC2G7VJCK7X2XHCQMENCQHSPN}

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	2026-05-18T04:13:46.464922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4085a37ea912bf7d5ce28308d140f27b58cf20e00e3f504dbf0c047c710860df

Aliases

arxiv: 1109.1933 · arxiv_version: 1109.1933v1 · doi: 10.48550/arxiv.1109.1933 · pith_short_12: ICC2G7VJCK7X · pith_short_16: ICC2G7VJCK7X2XHC · pith_short_8: ICC2G7VJ

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/ICC2G7VJCK7X2XHCQMENCQHSPN \
  | 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: 4085a37ea912bf7d5ce28308d140f27b58cf20e00e3f504dbf0c047c710860df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccf62f5895b77c29f4e993cd0f778f39387da20fda110477c85a03beece37487",
    "cross_cats_sorted": [
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-09T08:21:23Z",
    "title_canon_sha256": "0caa13fc1d78372ba54f4a40add0e44200090f0e04f277c934c4318f4f1e58d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1933",
    "kind": "arxiv",
    "version": 1
  }
}