Pith Number

pith:3JZRSMP6

pith:2002:3JZRSMP657YKVJE4MW7Y3UEZQR

not attested not anchored not stored refs pending

Neutrino masses and unification of the gauge and Yukawa couplings

Kamila Kowalska (Institute of Theoretical Physics, Poland), Warsaw University

arxiv:hep-ph/0203168 v3 · 2002-03-18 · 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{3JZRSMP657YKVJE4MW7Y3UEZQR}

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	2026-05-18T02:36:38.320585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da731931feeff0aaa49c65bf8dd099845fdb94bad370dc8bdabbc6cce42c4784

Aliases

arxiv: hep-ph/0203168 · arxiv_version: hep-ph/0203168v3 · doi: 10.48550/arxiv.hep-ph/0203168 · pith_short_12: 3JZRSMP657YK · pith_short_16: 3JZRSMP657YKVJE4 · pith_short_8: 3JZRSMP6

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/3JZRSMP657YKVJE4MW7Y3UEZQR \
  | 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: da731931feeff0aaa49c65bf8dd099845fdb94bad370dc8bdabbc6cce42c4784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64704f83e9009ed12baafd3045a1e89a7ad2d77911818ffbbf49338181f5933b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-03-18T14:29:45Z",
    "title_canon_sha256": "705b65aebf041916e4dcff2c972552721ce9590c34a803945e5a1537a6471519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0203168",
    "kind": "arxiv",
    "version": 3
  }
}