Pith Number

pith:WSBZG4HV

pith:2001:WSBZG4HVPXZ36RUV2OICLGQ2SI

not attested not anchored not stored refs pending

Nonunitary neutrino mixing matrix and CP violating neutrino oscillations

J. Gluza, Katowice), M. Czakon, M. Zralek (Univ. Silesia, (Univ. Karlsruhe)

arxiv:hep-ph/0109245 v1 · 2001-09-26 · 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{WSBZG4HVPXZ36RUV2OICLGQ2SI}

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	2026-05-18T02:36:39.314231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4839370f57df3bf4695d390259a1a92300ef155336a2b1ea456dc1c123b95dc

Aliases

arxiv: hep-ph/0109245 · arxiv_version: hep-ph/0109245v1 · doi: 10.48550/arxiv.hep-ph/0109245 · pith_short_12: WSBZG4HVPXZ3 · pith_short_16: WSBZG4HVPXZ36RUV · pith_short_8: WSBZG4HV

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/WSBZG4HVPXZ36RUV2OICLGQ2SI \
  | 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: b4839370f57df3bf4695d390259a1a92300ef155336a2b1ea456dc1c123b95dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "891fd0aa91175dfed686be481193b3c0bac4bd493f22d504f2c7b1ef2fefcaa6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-09-26T08:34:42Z",
    "title_canon_sha256": "33e6f140b5e3be1bf71412f00743079230963d63f8795f576add33bbdae0eac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0109245",
    "kind": "arxiv",
    "version": 1
  }
}