Pith Number

pith:GFH6DK5F

pith:1998:GFH6DK5FJHT45DM35ZCFP2ONGY

not attested not anchored not stored refs pending

A Dynamical Origin of the Mass Hierarchy among Neutrinos, Charged Leptons, and Quarks

Kazuo Katsuura (Dept. of Phys., Keiichi Akama, Saitama Medical College)

arxiv:hep-ph/9807534 v2 · 1998-07-29 · 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{GFH6DK5FJHT45DM35ZCFP2ONGY}

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	2026-07-04T14:30:36.549627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

314fe1aba549e7ce8d9bee4457e9cd36171e09972066287dec6e53480b2aa172

Aliases

arxiv: hep-ph/9807534 · arxiv_version: hep-ph/9807534v2 · doi: 10.48550/arxiv.hep-ph/9807534 · pith_short_12: GFH6DK5FJHT4 · pith_short_16: GFH6DK5FJHT45DM3 · pith_short_8: GFH6DK5F

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/GFH6DK5FJHT45DM35ZCFP2ONGY \
  | 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: 314fe1aba549e7ce8d9bee4457e9cd36171e09972066287dec6e53480b2aa172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "083b6d10a9ed26b7212b830e264a8bf7a5c3e9d5729772f0fd51fbba9a2fbe20",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-07-29T11:20:20Z",
    "title_canon_sha256": "46df045cd5a18b6934b745bf068037b9820ef53bb471d5e0c6ebefbbc9d027a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9807534",
    "kind": "arxiv",
    "version": 2
  }
}