Pith. sign in
Pith Number

pith:HWOLKEWT

pith:2007:HWOLKEWT4LERDTKYJ6D4DUQWMF
not attested not anchored not stored refs pending

CPT and lepton number violation in neutrino sector: Modified mass matrix and oscillation due to gravity

Banibrata Mukhopadhyay, Monika Sinha

arxiv:0704.2593 v2 · 2007-04-19 · hep-ph · astro-ph · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HWOLKEWT4LERDTKYJ6D4DUQWMF}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-04T15:24:54.624240Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3d9cb512d3e2c911cd584f87c1d216614abdee8c50662ec2e5f5eba8b0457796

Aliases

arxiv: 0704.2593 · arxiv_version: 0704.2593v2 · doi: 10.48550/arxiv.0704.2593 · pith_short_12: HWOLKEWT4LER · pith_short_16: HWOLKEWT4LERDTKY · pith_short_8: HWOLKEWT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HWOLKEWT4LERDTKYJ6D4DUQWMF \
  | 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: 3d9cb512d3e2c911cd584f87c1d216614abdee8c50662ec2e5f5eba8b0457796
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6f043e1a4113e08a8e6b27049e01d54dba3aea9a50e98171905a5f4d5f2b73be",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-04-19T19:32:00Z",
    "title_canon_sha256": "2e40bc67e2748762621441b42d2bfaa478aaa8c81bfa8da823db50f9b601b2a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2593",
    "kind": "arxiv",
    "version": 2
  }
}