Pith. sign in
Pith Number

pith:F3SYY3N4

pith:2024:F3SYY3N4EDECNNYIVQ4GO5QEPP
not attested not anchored not stored refs pending

Minimal structure for neutrino mass matrix

Manmohan Gupta, Manoj Kumar, Monika Randhawa, Nikhila Awasthi

arxiv:2412.15684 v2 · 2024-12-20 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F3SYY3N4EDECNNYIVQ4GO5QEPP}

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 2026-07-05T11:38:03.032405Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2ee58c6dbc20c826b708ac386776047bf2682f4034b2eb5ecab2efcc8e9956fd

Aliases

arxiv: 2412.15684 · arxiv_version: 2412.15684v2 · doi: 10.48550/arxiv.2412.15684 · pith_short_12: F3SYY3N4EDEC · pith_short_16: F3SYY3N4EDECNNYI · pith_short_8: F3SYY3N4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F3SYY3N4EDECNNYIVQ4GO5QEPP \
  | 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: 2ee58c6dbc20c826b708ac386776047bf2682f4034b2eb5ecab2efcc8e9956fd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0f33bc61d9b767c3ede2d22a8f5125951654041a0892bb0380c74430668f55c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-12-20T09:02:31Z",
    "title_canon_sha256": "f4236e52a3dc58448a0f4028d75226f0ea17d3b3db302aace57f311809a95ea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15684",
    "kind": "arxiv",
    "version": 2
  }
}