Pith Number

pith:JYW45ZQO

pith:2026:JYW45ZQOOI7MR5BBDIWIQB5Y2J

not attested not anchored not stored refs pending

A Compact Phenomenological Pattern in Fermion Mass Ratios and Mixing Parameters

Petr Baron

arxiv:2608.04266 v1 · 2026-08-04 · 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{JYW45ZQOOI7MR5BBDIWIQB5Y2J}

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	2026-08-06T01:31:49.843130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e2dcee60e723ec8f4211a2c8807b8d271c468b6608487cf0aabb61aa1fbd209

Aliases

arxiv: 2608.04266 · arxiv_version: 2608.04266v1 · doi: 10.48550/arxiv.2608.04266 · pith_short_12: JYW45ZQOOI7M · pith_short_16: JYW45ZQOOI7MR5BB · pith_short_8: JYW45ZQO

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/JYW45ZQOOI7MR5BBDIWIQB5Y2J \
  | 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: 4e2dcee60e723ec8f4211a2c8807b8d271c468b6608487cf0aabb61aa1fbd209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f161c1a2dd3f7ea5dff35b4a178c1c052649dec0980b92a643937ec1886ffbcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-08-04T22:52:59Z",
    "title_canon_sha256": "6155e3a3863398d7cebad2cd53ef1380be6e3151f77373932c7cc26e257d857e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04266",
    "kind": "arxiv",
    "version": 1
  }
}