Pith Number

pith:5CJGJWZQ

pith:2019:5CJGJWZQMLSQVBTULHNFWKRLUE

not attested not anchored not stored refs pending

Unification of Flavor, CP, and Modular Symmetries

Alexander Baur, Andreas Trautner, Hans Peter Nilles, Patrick K.S. Vaudrevange

arxiv:1901.03251 v2 · 2019-01-10 · hep-th · 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{5CJGJWZQMLSQVBTULHNFWKRLUE}

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.

Cited by

2 papers in Pith

The exact column texture: tree-level Yukawa universality in heterotic $Z_3 \times Z_3$ orbifolds

Quark hierarchies and CP violation from the Siegel modular group

Receipt and verification

First computed	2026-05-17T23:44:12.391890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e89264db3062e50a867459da5b2a2ba12f65050a4ffa40d9bdf4446e93af02cb

Aliases

arxiv: 1901.03251 · arxiv_version: 1901.03251v2 · doi: 10.48550/arxiv.1901.03251 · pith_short_12: 5CJGJWZQMLSQ · pith_short_16: 5CJGJWZQMLSQVBTU · pith_short_8: 5CJGJWZQ

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/5CJGJWZQMLSQVBTULHNFWKRLUE \
  | 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: e89264db3062e50a867459da5b2a2ba12f65050a4ffa40d9bdf4446e93af02cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74eda2623d21ae561e3ffe713b0adff50939d3478b3523aa433b089ddec27abe",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-01-10T16:20:00Z",
    "title_canon_sha256": "a05cf7be5a61a972cc69fb9919b520af63ae74b9cbae46e8c559517bb19bcefc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03251",
    "kind": "arxiv",
    "version": 2
  }
}