Pith Number

pith:TGIU6OI4

pith:2015:TGIU6OI4PROO6AOH3EUNRELGMP

not attested not anchored not stored refs pending

The Role of the Pauli-Lubanski Vector for the Dirac, Weyl, Proca, Maxwell, and Fierz-Pauli Equations

Nathan A. Lanfear, Sergei K. Suslov, Sergey I. Kryuchkov

arxiv:1510.05164 v4 · 2015-10-17 · 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{TGIU6OI4PROO6AOH3EUNRELGMP}

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	2026-05-18T01:18:42.443573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99914f391c7c5cef01c7d928d8916663dc445928c454e14fb92c7c8c698f897c

Aliases

arxiv: 1510.05164 · arxiv_version: 1510.05164v4 · doi: 10.48550/arxiv.1510.05164 · pith_short_12: TGIU6OI4PROO · pith_short_16: TGIU6OI4PROO6AOH · pith_short_8: TGIU6OI4

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/TGIU6OI4PROO6AOH3EUNRELGMP \
  | 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: 99914f391c7c5cef01c7d928d8916663dc445928c454e14fb92c7c8c698f897c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a12915b12bc226e14b12513ae88e100e15623663b6e1040e72d49208c7306b72",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-17T20:08:13Z",
    "title_canon_sha256": "35f9e205304624f2f8c63ef5b449d6c61508e444936199994c0efd2e9a5023bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05164",
    "kind": "arxiv",
    "version": 4
  }
}