Pith Number

pith:F2WPYSCQ

pith:2025:F2WPYSCQUSW4HMVFNBTRJIZRIG

not attested not anchored not stored refs pending

Stringy Constraints on Modular Flavor Models

Hajime Otsuka, Keiya Ishiguro, Takafumi Kai, Tatsuo Kobayashi

arxiv:2508.12392 v1 · 2025-08-17 · 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{F2WPYSCQUSW4HMVFNBTRJIZRIG}

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	2026-07-05T11:55:04.986887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eacfc4850a4adc3b2a5686714a331418cf7eb3800865cb2800f5c300eda52ea

Aliases

arxiv: 2508.12392 · arxiv_version: 2508.12392v1 · doi: 10.48550/arxiv.2508.12392 · pith_short_12: F2WPYSCQUSW4 · pith_short_16: F2WPYSCQUSW4HMVF · pith_short_8: F2WPYSCQ

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/F2WPYSCQUSW4HMVFNBTRJIZRIG \
  | 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: 2eacfc4850a4adc3b2a5686714a331418cf7eb3800865cb2800f5c300eda52ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19911d99452aa053b7cfc7484ddf60c3a3d7e67d7c97dc3746c814eff81c88c7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-08-17T15:12:44Z",
    "title_canon_sha256": "9227484c4a70f4272bd364859f236d6764380f8f353e15ad4fd6a1fd54b73b94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12392",
    "kind": "arxiv",
    "version": 1
  }
}