Pith Number

pith:PIINXK6K

pith:2009:PIINXK6KBWVHTTY7DHNVI7MBRO

not attested not anchored not stored refs pending

Quark mixing sum rules and the right unitarity triangle

Martin Spinrath, Michal Malinsky, Stefan Antusch, Stephen F. King

arxiv:0910.5127 v3 · 2009-10-27 · 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{PIINXK6KBWVHTTY7DHNVI7MBRO}

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

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

Receipt and verification

First computed	2026-07-04T17:25:05.515549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a10dbabca0daa79cf1f19db547d818ba134bf5f795661dd232ee14e2a04cdc7

Aliases

arxiv: 0910.5127 · arxiv_version: 0910.5127v3 · doi: 10.48550/arxiv.0910.5127 · pith_short_12: PIINXK6KBWVH · pith_short_16: PIINXK6KBWVHTTY7 · pith_short_8: PIINXK6K

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/PIINXK6KBWVHTTY7DHNVI7MBRO \
  | 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: 7a10dbabca0daa79cf1f19db547d818ba134bf5f795661dd232ee14e2a04cdc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0723b6f3d03bcf99567e723781c4c25023405bfb32b2b046348e935d4b3089d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-10-27T15:58:06Z",
    "title_canon_sha256": "5e60f08721096a49146fe816965d0655cf2e7c394e2a2adf65aacc0cea7a93bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5127",
    "kind": "arxiv",
    "version": 3
  }
}