Pith Number

pith:5V5ACTSI

pith:1998:5V5ACTSIKW33JBKHBVNQYC4HPO

not attested not anchored not stored refs pending

Fermion Mass Hierarchy without Flavour Symmetry

Chih-Lung Chou

arxiv:hep-ph/9804325 v2 · 1998-04-18 · 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{5V5ACTSIKW33JBKHBVNQYC4HPO}

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	2026-05-18T01:08:04.507384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7a014e4855b7b485470d5b0c0b877bbcd32a867e0e78f1f5265eb2bbd4b147

Aliases

arxiv: hep-ph/9804325 · arxiv_version: hep-ph/9804325v2 · doi: 10.48550/arxiv.hep-ph/9804325 · pith_short_12: 5V5ACTSIKW33 · pith_short_16: 5V5ACTSIKW33JBKH · pith_short_8: 5V5ACTSI

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/5V5ACTSIKW33JBKHBVNQYC4HPO \
  | 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: ed7a014e4855b7b485470d5b0c0b877bbcd32a867e0e78f1f5265eb2bbd4b147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5847c429dde1a1f69bf4d889a0b2195b6c33c18e011f3bab149422f1233be598",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-04-18T21:39:38Z",
    "title_canon_sha256": "6bcc958fb323b1267f0a2a3e9ac4ba676b694d6656000ef2bb49e1c5dc5587c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9804325",
    "kind": "arxiv",
    "version": 2
  }
}