Pith Number

pith:DUPL2TPQ

pith:1999:DUPL2TPQIAGSK3MNW5SV4ERNIK

not attested not anchored not stored refs pending

Are Neutrinos Dirac or Majorana Particles?

J. Gluza, M. Czakon, M. Zralek

arxiv:hep-ph/9910357 v3 · 1999-10-15 · 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{DUPL2TPQIAGSK3MNW5SV4ERNIK}

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	2026-05-18T04:24:16.647936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d1ebd4df0400d256d8db7655e122d42974532d4be857de9782e0c5528f20b15

Aliases

arxiv: hep-ph/9910357 · arxiv_version: hep-ph/9910357v3 · doi: 10.48550/arxiv.hep-ph/9910357 · pith_short_12: DUPL2TPQIAGS · pith_short_16: DUPL2TPQIAGSK3MN · pith_short_8: DUPL2TPQ

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/DUPL2TPQIAGSK3MNW5SV4ERNIK \
  | 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: 1d1ebd4df0400d256d8db7655e122d42974532d4be857de9782e0c5528f20b15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7608e055f209b77bdcc13e863694577979aacf01df6c59cef2fad34067c2c3e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-10-15T16:06:47Z",
    "title_canon_sha256": "e479c71216c934d9db065fefd88174b3aa0b064c3763e1fe96895835bff1e2cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9910357",
    "kind": "arxiv",
    "version": 3
  }
}