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Pith Number

pith:34CRWSNS

pith:2016:34CRWSNSKAQPJMXTEK5YODZZBZ
not attested not anchored not stored refs pending

Generalized Nonlinear Proca Equation and its Free-Particle Solutions

A.R. Plastino, F.D. Nobre

arxiv:1603.06126 v1 · 2016-03-05 · physics.gen-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{34CRWSNSKAQPJMXTEK5YODZZBZ}

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 2026-05-18T01:10:50.270011Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

df051b49b25020f4b2f322bb870f390e4bf6903903b934be4bf0246d375a730d

Aliases

arxiv: 1603.06126 · arxiv_version: 1603.06126v1 · doi: 10.48550/arxiv.1603.06126 · pith_short_12: 34CRWSNSKAQP · pith_short_16: 34CRWSNSKAQPJMXT · pith_short_8: 34CRWSNS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/34CRWSNSKAQPJMXTEK5YODZZBZ \
  | 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: df051b49b25020f4b2f322bb870f390e4bf6903903b934be4bf0246d375a730d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "226adcdd56d923a1da2f1386f5ac3e6b15059c9f2d1ab26d2453100e362d3f34",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2016-03-05T05:37:19Z",
    "title_canon_sha256": "c90a1678663ecb274e689a3e8196e8eef5c67f4723952d88262975fd88875289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06126",
    "kind": "arxiv",
    "version": 1
  }
}