Pith Number

pith:XIKPBKRO

pith:2009:XIKPBKROOWPM5LHBB6ARYXQII2

not attested not anchored not stored refs pending

On-shell renormalization of the mixing matrices in Majorana neutrino theories

Alberto Sirlin, Andrea A. Almasy, Bernd A. Kniehl

arxiv:0902.3793 v2 · 2009-02-22 · hep-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{XIKPBKROOWPM5LHBB6ARYXQII2}

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	2026-05-18T02:35:00.954437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba14f0aa2e759eceace10f811c5e0846bbb8ef968589d00b590e156117e791cb

Aliases

arxiv: 0902.3793 · arxiv_version: 0902.3793v2 · doi: 10.48550/arxiv.0902.3793 · pith_short_12: XIKPBKROOWPM · pith_short_16: XIKPBKROOWPM5LHB · pith_short_8: XIKPBKRO

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/XIKPBKROOWPM5LHBB6ARYXQII2 \
  | 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: ba14f0aa2e759eceace10f811c5e0846bbb8ef968589d00b590e156117e791cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f2ddeafbf8afad79fcad43bbeb571e83c67b9d6e3485ca86f67505aa0eeeab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-02-22T13:41:29Z",
    "title_canon_sha256": "85c45695197be9a1cf888473879df94e61cada7ff7bdaf47604f3ca269de27a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3793",
    "kind": "arxiv",
    "version": 2
  }
}