Pith Number

pith:Z4GBHA3O

pith:2012:Z4GBHA3OEFBMFQTCZSFZHBIWIB

not attested not anchored not stored refs pending

An effective singular oscillator for Duffin-Kemmer-Petiau particles with a nonminimal vector coupling: a two-fold degeneracy

A.S. de Castro, L.B. Castro, T.R. Cardoso

arxiv:1201.1398 v1 · 2012-01-06 · hep-th · 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{Z4GBHA3OEFBMFQTCZSFZHBIWIB}

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	2026-05-18T01:58:54.960862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0c13836e2142c2c262cc8b9385164042c9630018d5faed9db59f373c56e6c2

Aliases

arxiv: 1201.1398 · arxiv_version: 1201.1398v1 · doi: 10.48550/arxiv.1201.1398 · pith_short_12: Z4GBHA3OEFBM · pith_short_16: Z4GBHA3OEFBMFQTC · pith_short_8: Z4GBHA3O

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/Z4GBHA3OEFBMFQTCZSFZHBIWIB \
  | 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: cf0c13836e2142c2c262cc8b9385164042c9630018d5faed9db59f373c56e6c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4ae954c4961cdeed1f1e7f78efc2d87751046aca24d33f439f8fae28ef9d35",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-01-06T12:00:05Z",
    "title_canon_sha256": "6f7c8c8d48209a1b0fc6a8b62dcf42706944b81f11f0cfc3766236b4a2464df8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1398",
    "kind": "arxiv",
    "version": 1
  }
}