Pith Number

pith:ZXBKR3RF

pith:2011:ZXBKR3RFTXP7CTSPVATCAEV4MQ

not attested not anchored not stored refs pending

Dirac equation in a de Sitter expansion for massive neutrinos from modern Kaluza-Klein theory

Mar del Plata University), Mariano Anabitarte, Mauricio Bellini (IFIMAR - CONICET, Pablo Alejandro S\'anchez

arxiv:1112.5183 v4 · 2011-12-21 · hep-th · astro-ph.CO · gr-qc · 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{ZXBKR3RFTXP7CTSPVATCAEV4MQ}

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	2026-05-18T01:59:03.574506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc2a8ee259ddff14e4fa8262012bc643e2e3ba4bf7f27a194c5ab3b52d5b047

Aliases

arxiv: 1112.5183 · arxiv_version: 1112.5183v4 · doi: 10.48550/arxiv.1112.5183 · pith_short_12: ZXBKR3RFTXP7 · pith_short_16: ZXBKR3RFTXP7CTSP · pith_short_8: ZXBKR3RF

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/ZXBKR3RFTXP7CTSPVATCAEV4MQ \
  | 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: cdc2a8ee259ddff14e4fa8262012bc643e2e3ba4bf7f27a194c5ab3b52d5b047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a616a1fbdc2d3d028de8d14fde4360961d1f3cfd1a715e31b996c71ba33be55",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-12-21T21:37:51Z",
    "title_canon_sha256": "60c405fb227774b992bf6793a35ecab6535ee6211b776d2ff3448e732dcc3ef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5183",
    "kind": "arxiv",
    "version": 4
  }
}