Pith Number

pith:LLOWK2GG

pith:2021:LLOWK2GGIDYOQ4L6JGDUW5ZW3G

not attested not anchored not stored refs pending

Quark and lepton flavor model with leptoquarks in a modular $A_4$ symmetry

Hiroshi Okada, Takaaki Nomura, Yuta Orikasa

arxiv:2106.12375 v1 · 2021-06-23 · 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{LLOWK2GGIDYOQ4L6JGDUW5ZW3G}

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	2026-07-05T03:30:32.550462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5add6568c640f0e8717e49874b7736d9aa511f49553c59ba44e13c7e262a0b5d

Aliases

arxiv: 2106.12375 · arxiv_version: 2106.12375v1 · doi: 10.48550/arxiv.2106.12375 · pith_short_12: LLOWK2GGIDYO · pith_short_16: LLOWK2GGIDYOQ4L6 · pith_short_8: LLOWK2GG

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/LLOWK2GGIDYOQ4L6JGDUW5ZW3G \
  | 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: 5add6568c640f0e8717e49874b7736d9aa511f49553c59ba44e13c7e262a0b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83808b0ce31949a438112ada653f840c65a87fdef768e18e17d9067f8e71fed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-06-23T13:15:15Z",
    "title_canon_sha256": "cc7b20088c665356828708512a08cf927a345119f57520c7deab893d883e0b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.12375",
    "kind": "arxiv",
    "version": 1
  }
}