Pith Number

pith:UPHUINEL

pith:2026:UPHUINELI6EPOVVLTDSSY5SUHR

not attested not anchored not stored refs pending

Perturbative determination of CP phase in CKM matrix using rephasing invariants of hierarchical mass matrices and their inverses

Masaki J. S. Yang

arxiv:2607.06985 v1 · 2026-07-08 · 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{UPHUINELI6EPOVVLTDSSY5SUHR}

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	2026-07-09T01:20:11.674793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3cf44348b4788f756ab98e52c76543c6fae793258d7aa1f37c9c8b53c814447

Aliases

arxiv: 2607.06985 · arxiv_version: 2607.06985v1 · doi: 10.48550/arxiv.2607.06985 · pith_short_12: UPHUINELI6EP · pith_short_16: UPHUINELI6EPOVVL · pith_short_8: UPHUINEL

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/UPHUINELI6EPOVVLTDSSY5SUHR \
  | 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: a3cf44348b4788f756ab98e52c76543c6fae793258d7aa1f37c9c8b53c814447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82da583c15106664d4712c063a9e6a3de94305111b9539f0151d85e4f5caa961",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-08T04:12:10Z",
    "title_canon_sha256": "e194a17693338dcf121ca7101b73936ba4293819f9a51553a65b0225e83c92ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06985",
    "kind": "arxiv",
    "version": 1
  }
}