Pith Number

pith:6TKTFU5E

pith:2019:6TKTFU5ENP5IYII2HPEROXYPH5

not attested not anchored not stored refs pending

$A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry

Kenta Takagi, Morimitsu Tanimoto, Takuya H. Tatsuishi, Tatsuo Kobayashi, Yusuke Shimizu

arxiv:1909.05139 v3 · 2019-09-09 · 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{6TKTFU5ENP5IYII2HPEROXYPH5}

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

1 paper in Pith

Finite modular Coleman-Weinberg inflation

Receipt and verification

First computed	2026-07-05T00:40:44.344936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4d532d3a46bfa8c211a3bc9175f0f3f7276ced992c8b971034346099a8c82b5

Aliases

arxiv: 1909.05139 · arxiv_version: 1909.05139v3 · doi: 10.48550/arxiv.1909.05139 · pith_short_12: 6TKTFU5ENP5I · pith_short_16: 6TKTFU5ENP5IYII2 · pith_short_8: 6TKTFU5E

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/6TKTFU5ENP5IYII2HPEROXYPH5 \
  | 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: f4d532d3a46bfa8c211a3bc9175f0f3f7276ced992c8b971034346099a8c82b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c05cf5eab1ea2380edfa9124d0e24f72398845ce88e1d02e93faaf5fe4ad7e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-09-09T07:13:05Z",
    "title_canon_sha256": "8416e46b0ceeb26be29c8c287673aedd8ddf8a12b9b99e011b7125424758980a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.05139",
    "kind": "arxiv",
    "version": 3
  }
}