Pith Number

pith:DUU2PL45

pith:2025:DUU2PL45UVIOTQBGGL37V7BLMP

not attested not anchored not stored refs pending

New rephasing invariants and CP violation built from the trios of the CKM or PMNS matrix elements

Shu Luo, Zhi-zhong Xing

arxiv:2508.15662 v1 · 2025-08-21 · hep-ph · hep-ex

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUU2PL45UVIOTQBGGL37V7BLMP}

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

Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing

Receipt and verification

First computed	2026-07-05T11:57:39.539967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d29a7af9da550e9c02632f7fafc2b63d01903fe9e683c539f44e2815c373a58

Aliases

arxiv: 2508.15662 · arxiv_version: 2508.15662v1 · doi: 10.48550/arxiv.2508.15662 · pith_short_12: DUU2PL45UVIO · pith_short_16: DUU2PL45UVIOTQBG · pith_short_8: DUU2PL45

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/DUU2PL45UVIOTQBGGL37V7BLMP \
  | 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: 1d29a7af9da550e9c02632f7fafc2b63d01903fe9e683c539f44e2815c373a58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8441ac44830567d45a57549ac6a6877c8c8a3c9018a78f70922006ec391d6bd1",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-08-21T15:48:40Z",
    "title_canon_sha256": "73139ad4575f2fac2cffd888d98fe7d72159d357afda9e8d55eac1d83312d29b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15662",
    "kind": "arxiv",
    "version": 1
  }
}