Pith Number

pith:YZ7KGFCU

pith:2001:YZ7KGFCUL3WRL6UGIMHB3PXCAW

not attested not anchored not stored refs pending

Fermion Mass Hierarchy in the Grand Unified Theory on $S_1/(Z_2 \times Z_2')$ Orbifold

Kazumasa Ukai, N. Haba, Tomoharu Suzuki, Y. Shimizu

arxiv:hep-ph/0107190 v4 · 2001-07-17 · 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{YZ7KGFCUL3WRL6UGIMHB3PXCAW}

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	2026-05-18T02:36:39.629727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c67ea314545eed15fa86430e1dbee20585f2d1e180f4033bf810db02f0f46f1d

Aliases

arxiv: hep-ph/0107190 · arxiv_version: hep-ph/0107190v4 · doi: 10.48550/arxiv.hep-ph/0107190 · pith_short_12: YZ7KGFCUL3WR · pith_short_16: YZ7KGFCUL3WRL6UG · pith_short_8: YZ7KGFCU

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/YZ7KGFCUL3WRL6UGIMHB3PXCAW \
  | 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: c67ea314545eed15fa86430e1dbee20585f2d1e180f4033bf810db02f0f46f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de4e1cd0305c743e4d5bc59229dd9f2f4592a9810a8efe30b8751c27ed4b7b19",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-07-17T11:20:57Z",
    "title_canon_sha256": "07f6076e4f35ce85e24e7824b6b38aac807558bf336495497dca4f08aa1d3082"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0107190",
    "kind": "arxiv",
    "version": 4
  }
}