Pith Number

pith:EHPHYJJ3

pith:1999:EHPHYJJ3BDLI3INKQKU3JCP7RY

not attested not anchored not stored refs pending

Fixed points in the evolution of neutrino mixings

P.H. Chankowski (CERN, S. Pokorski (Warsaw), Warsaw), W. Krolikowski (Warsaw)

arxiv:hep-ph/9910231 v3 · 1999-10-05 · 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{EHPHYJJ3BDLI3INKQKU3JCP7RY}

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

1 paper in Pith

Complete Two-loop Renormalization Group Equation of the Weinberg Operator

Receipt and verification

First computed	2026-07-04T17:25:24.864130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21de7c253b08d68da1aa82a9b489ff8e2fc051d4632409daaf93c6a356ce285b

Aliases

arxiv: hep-ph/9910231 · arxiv_version: hep-ph/9910231v3 · doi: 10.48550/arxiv.hep-ph/9910231 · pith_short_12: EHPHYJJ3BDLI · pith_short_16: EHPHYJJ3BDLI3INK · pith_short_8: EHPHYJJ3

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/EHPHYJJ3BDLI3INKQKU3JCP7RY \
  | 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: 21de7c253b08d68da1aa82a9b489ff8e2fc051d4632409daaf93c6a356ce285b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870a3e3a938914a24696a90d183b2f0d4ff7961c41e5c0e144750474e11c2a71",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-10-05T00:00:04Z",
    "title_canon_sha256": "b6167b7891075d7d7655b5941ff38a65b864c0f15173933004cba33967ce3075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9910231",
    "kind": "arxiv",
    "version": 3
  }
}