Pith Number

pith:WM7O6TJ7

pith:2023:WM7O6TJ7R7XWNTPIALP5CHGR3X

not attested not anchored not stored refs pending

Quarks at the modular $S_4$ cusp

I. de Medeiros Varzielas, J. T. Penedo, M. Levy, S. T. Petcov

arxiv:2307.14410 v1 · 2023-07-26 · 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{WM7O6TJ7R7XWNTPIALP5CHGR3X}

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

3 papers in Pith

Finite modular Coleman-Weinberg inflation

Two-loop neutrino mass model with modular $S_4$ symmetry

Quark hierarchies and CP violation from the Siegel modular group

Receipt and verification

First computed	2026-07-05T06:35:12.715403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b33eef4d3f8fef66cde802dfd11cd1ddc0ddc44ad8e5d55b5df45df4025c362b

Aliases

arxiv: 2307.14410 · arxiv_version: 2307.14410v1 · doi: 10.48550/arxiv.2307.14410 · pith_short_12: WM7O6TJ7R7XW · pith_short_16: WM7O6TJ7R7XWNTPI · pith_short_8: WM7O6TJ7

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/WM7O6TJ7R7XWNTPIALP5CHGR3X \
  | 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: b33eef4d3f8fef66cde802dfd11cd1ddc0ddc44ad8e5d55b5df45df4025c362b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f506c57ae59bf42cfed27bbe7e462be8ce913c10989a2139678f0ca3218e4161",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-07-26T18:00:00Z",
    "title_canon_sha256": "5bdfe27f2d409587009cbf947e2867ddad96658e58c5a12b300b5c8470f531d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.14410",
    "kind": "arxiv",
    "version": 1
  }
}