Pith Number

pith:MDWCFAET

pith:2003:MDWCFAETTPZHMWU3OVSVAI5BJK

not attested not anchored not stored refs pending

Dirac Neutrino Masses with Planck Scale Lepton Number Violation

Tony Gherghetta

arxiv:hep-ph/0312392 v3 · 2003-12-31 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDWCFAETTPZHMWU3OVSVAI5BJK}

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	2026-05-18T04:12:00.987525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ec2280939bf2765a9b75655023a14aa9f3e6b0f4a379ac34be491a036177ec

Aliases

arxiv: hep-ph/0312392 · arxiv_version: hep-ph/0312392v3 · doi: 10.48550/arxiv.hep-ph/0312392 · pith_short_12: MDWCFAETTPZH · pith_short_16: MDWCFAETTPZHMWU3 · pith_short_8: MDWCFAET

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/MDWCFAETTPZHMWU3OVSVAI5BJK \
  | 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: 60ec2280939bf2765a9b75655023a14aa9f3e6b0f4a379ac34be491a036177ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abbcb6967fbf2567b700b0839568ad3f80cfa3396adfb1108f84dbbd0834a0b9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-12-31T20:34:49Z",
    "title_canon_sha256": "5c594108eaf697e0b476fe2a85b860a13b4fd825da2a98a3a83c65f162cd3fa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0312392",
    "kind": "arxiv",
    "version": 3
  }
}