Pith Number

pith:M4XDNBIQ

pith:2023:M4XDNBIQSNMU5C7CTSW4I5SGS7

not attested not anchored not stored refs pending

$A_4$ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point $\tau = i\infty$

M. Tanimoto, S. T. Petcov

arxiv:2306.05730 v2 · 2023-06-09 · 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{M4XDNBIQSNMU5C7CTSW4I5SGS7}

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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

2 papers in Pith

Finite modular Coleman-Weinberg inflation

Quark hierarchies and CP violation from the Siegel modular group

Receipt and verification

First computed	2026-07-05T06:34:05.921203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

672e36851093594e8be29cadc4764697f99b379929f5db8a335bb476c7b7a387

Aliases

arxiv: 2306.05730 · arxiv_version: 2306.05730v2 · doi: 10.48550/arxiv.2306.05730 · pith_short_12: M4XDNBIQSNMU · pith_short_16: M4XDNBIQSNMU5C7C · pith_short_8: M4XDNBIQ

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/M4XDNBIQSNMU5C7CTSW4I5SGS7 \
  | 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: 672e36851093594e8be29cadc4764697f99b379929f5db8a335bb476c7b7a387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9f29df25d65cddfa0f218e93af4478d059d8f21f3cbf5eda5b181dc72a50030",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-06-09T07:51:36Z",
    "title_canon_sha256": "52052f2e3db57ca8607b3f0cadd45e9c81d9265f97e4a14e8182aeef7f7b055b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.05730",
    "kind": "arxiv",
    "version": 2
  }
}