Pith Number

pith:TOR6SB5A

pith:2021:TOR6SB5AEAYQIFB25NG7UJLJWD

not attested not anchored not stored refs pending

Flavor mixing and CP violation from the interplay of $S_4$ modular group and gCP

Bu-Yao Qu, Gui-Jun Ding, Ping-Tao Chen, Xiang-Gan Liu

arxiv:2106.11659 v1 · 2021-06-22 · 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{TOR6SB5AEAYQIFB25NG7UJLJWD}

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	2026-07-05T03:21:51.912709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ba3e907a0203104143aeb4dfa2569b0fde5c20a8dc481d6af2a8a42621da81f

Aliases

arxiv: 2106.11659 · arxiv_version: 2106.11659v1 · doi: 10.48550/arxiv.2106.11659 · pith_short_12: TOR6SB5AEAYQ · pith_short_16: TOR6SB5AEAYQIFB2 · pith_short_8: TOR6SB5A

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/TOR6SB5AEAYQIFB25NG7UJLJWD \
  | 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: 9ba3e907a0203104143aeb4dfa2569b0fde5c20a8dc481d6af2a8a42621da81f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b1b37f474937c04733b7c82d2e851dee1f792049e8f3d3f07f84308bf9faf7c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-06-22T10:34:35Z",
    "title_canon_sha256": "9da045a27faede7bde3533abb634d63819e3fb8e16b9b468991e2328927ef5bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.11659",
    "kind": "arxiv",
    "version": 1
  }
}