Pith Number

pith:P4DDU2WL

pith:2006:P4DDU2WLXYPYDJDVMOZJKWN4HB

not attested not anchored not stored refs pending

Distinguishable RGE running effects between Dirac neutrinos and Majorana neutrinos with vanishing Majorana CP-violating phases

He Zhang, Zhi-zhong Xing

arxiv:hep-ph/0601106 v1 · 2006-01-13 · 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{P4DDU2WLXYPYDJDVMOZJKWN4HB}

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

RG Running of Multiple Neutrino Mixing Parameters at Oscillation Experiments

Receipt and verification

First computed	2026-07-04T15:39:39.905092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f063a6acbbe1f81a47563b29559bc38615471457a031a5baf488a5ebd6448b3

Aliases

arxiv: hep-ph/0601106 · arxiv_version: hep-ph/0601106v1 · doi: 10.48550/arxiv.hep-ph/0601106 · pith_short_12: P4DDU2WLXYPY · pith_short_16: P4DDU2WLXYPYDJDV · pith_short_8: P4DDU2WL

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/P4DDU2WLXYPYDJDVMOZJKWN4HB \
  | 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: 7f063a6acbbe1f81a47563b29559bc38615471457a031a5baf488a5ebd6448b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbfa44d655cafb4612298511cd1283da5f732df7207dcb5572fa304a5b1111d2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-01-13T12:49:00Z",
    "title_canon_sha256": "dca3099c0f01a2af0c61d586631b25ddf26b83b014cea2901d44235a5ecd48d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0601106",
    "kind": "arxiv",
    "version": 1
  }
}