Pith Number

pith:JGXH6LTM

pith:1999:JGXH6LTMXH7IIIEENR5CIO4NLX

not attested not anchored not stored refs pending

On fermion mass hierarchy with extra dimensions

Koichi Yoshioka

arxiv:hep-ph/9904433 v4 · 1999-04-22 · 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{JGXH6LTMXH7IIIEENR5CIO4NLX}

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

Family Unification in $SO(16)$ Grand Unification

Cosmic Collider Gravitational Waves sourced by Right-handed Neutrino production from Bubbles: Testing Seesaw, Leptogenesis and Dark Matter

Receipt and verification

First computed	2026-07-04T16:14:15.602402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49ae7f2e6cb9fe8420846c7a243b8d5df234fb387215df6bb89297c795d148e0

Aliases

arxiv: hep-ph/9904433 · arxiv_version: hep-ph/9904433v4 · doi: 10.48550/arxiv.hep-ph/9904433 · pith_short_12: JGXH6LTMXH7I · pith_short_16: JGXH6LTMXH7IIIEE · pith_short_8: JGXH6LTM

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/JGXH6LTMXH7IIIEENR5CIO4NLX \
  | 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: 49ae7f2e6cb9fe8420846c7a243b8d5df234fb387215df6bb89297c795d148e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "348fcda07cb8e74ed2eeaab53ef122780473e3b81fd4968ae67d6feb0f0b2f25",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-04-22T23:54:56Z",
    "title_canon_sha256": "62d724ead0d937396ca76253c1d1055d3547e50a84153768d663fd1fc2449d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9904433",
    "kind": "arxiv",
    "version": 4
  }
}