Pith Number

pith:LXAR5PZG

pith:1997:LXAR5PZGJ5RPJQDVJGYXBJ5CUW

not attested not anchored not stored refs pending

Modular Weights, U(1)'s and Mass Matrices

G. K. Leontaris, N. D. Tracas

arxiv:hep-ph/9709510 v2 · 1997-09-30 · 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{LXAR5PZGJ5RPJQDVJGYXBJ5CUW}

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

Neutrino Mass Predictions with an AI-based Algorithm under $A_4$ Modular Symmetry

Receipt and verification

First computed	2026-07-04T16:05:14.250105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dc11ebf264f62f4c07549b170a7a2a5ad56ed59061d14de20bcc786fdc0238c

Aliases

arxiv: hep-ph/9709510 · arxiv_version: hep-ph/9709510v2 · doi: 10.48550/arxiv.hep-ph/9709510 · pith_short_12: LXAR5PZGJ5RP · pith_short_16: LXAR5PZGJ5RPJQDV · pith_short_8: LXAR5PZG

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/LXAR5PZGJ5RPJQDVJGYXBJ5CUW \
  | 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: 5dc11ebf264f62f4c07549b170a7a2a5ad56ed59061d14de20bcc786fdc0238c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "050d9a92b1f951f06bb7f23c2dae973c4774f83789ba5863fa8c5c3ba8600fb5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-09-30T17:14:28Z",
    "title_canon_sha256": "312e170922856f811b3ef641d0701186d95c2339fedc386f33b8dce05ffe1bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9709510",
    "kind": "arxiv",
    "version": 2
  }
}