Pith Number

pith:6WMW5QVC

pith:2022:6WMW5QVCTPEHW4UOKG6KX3BPOC

not attested not anchored not stored refs pending

Flavor Structures of Quarks and Leptons from Flipped SU(5) GUT with $A_4$ Modular Flavor Symmetry

Fei Wang, Xiao Kang Du

arxiv:2209.08796 v2 · 2022-09-19 · 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{6WMW5QVCTPEHW4UOKG6KX3BPOC}

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	2026-07-05T05:33:18.083845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5996ec2a29bc87b728e51bcabec2f7096e88ec6b50ec92e167ade3e9108341c

Aliases

arxiv: 2209.08796 · arxiv_version: 2209.08796v2 · doi: 10.48550/arxiv.2209.08796 · pith_short_12: 6WMW5QVCTPEH · pith_short_16: 6WMW5QVCTPEHW4UO · pith_short_8: 6WMW5QVC

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/6WMW5QVCTPEHW4UOKG6KX3BPOC \
  | 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: f5996ec2a29bc87b728e51bcabec2f7096e88ec6b50ec92e167ade3e9108341c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c30f9d2bfca3920bbaf4aa8306b7f0f84a1b962a3f8e488324fd4baa1e1f28a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-09-19T07:01:04Z",
    "title_canon_sha256": "1d5ac9b6331d28dcbde1e5b08ef9d11f9560c4b76996df23ce580e7be6420776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08796",
    "kind": "arxiv",
    "version": 2
  }
}