Pith Number

pith:7322UDZR

pith:2025:7322UDZRNIPC5KHS2FXEPFJLPA

not attested not anchored not stored refs pending

Quark and lepton masses

Ferruccio Feruglio, Saul Ramos-Sanchez

arxiv:2506.20755 v1 · 2025-06-25 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7322UDZRNIPC5KHS2FXEPFJLPA}

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

Quark hierarchies and CP violation from the Siegel modular group

Receipt and verification

First computed	2026-07-05T11:27:33.497094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fef5aa0f316a1e2ea8f2d16e47952b78172a19f1c642882a8b1658efd8dd05bd

Aliases

arxiv: 2506.20755 · arxiv_version: 2506.20755v1 · doi: 10.48550/arxiv.2506.20755 · pith_short_12: 7322UDZRNIPC · pith_short_16: 7322UDZRNIPC5KHS · pith_short_8: 7322UDZR

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/7322UDZRNIPC5KHS2FXEPFJLPA \
  | 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: fef5aa0f316a1e2ea8f2d16e47952b78172a19f1c642882a8b1658efd8dd05bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d3bdbf22f2af1f451e167ec875e9d66a32522e466382c5100c75988d1d3dec",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-06-25T18:31:26Z",
    "title_canon_sha256": "23d51bc8e9457de0ef60c1bf7f4e146f783846fe9f2eea68bd81847bde84f81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20755",
    "kind": "arxiv",
    "version": 1
  }
}