Pith Number

pith:3FGMR7AQ

pith:1999:3FGMR7AQMIX3O5YCJWZRSFIRGX

not attested not anchored not stored refs pending

Neutrino Mass Anarchy

Hitoshi Murayama, Lawrence Hall, LBNL), Neal Weiner (UC Berkeley

arxiv:hep-ph/9911341 v2 · 1999-11-15 · 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{3FGMR7AQMIX3O5YCJWZRSFIRGX}

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

3 papers in Pith

The Fundaments of Unity: ${\mathcal O}(1)$ Couplings in Quantum Field Theories

The Future of Lepton Flavor

Exploring the flavor structure of leptons via diffusion models

Receipt and verification

First computed	2026-07-04T15:52:10.614535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94cc8fc10622fb777024db319151135ffed9d911904aa1eb521c46a1f8fb197

Aliases

arxiv: hep-ph/9911341 · arxiv_version: hep-ph/9911341v2 · doi: 10.48550/arxiv.hep-ph/9911341 · pith_short_12: 3FGMR7AQMIX3 · pith_short_16: 3FGMR7AQMIX3O5YC · pith_short_8: 3FGMR7AQ

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/3FGMR7AQMIX3O5YCJWZRSFIRGX \
  | 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: d94cc8fc10622fb777024db319151135ffed9d911904aa1eb521c46a1f8fb197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e046ae36418f67ac8256c4d157ea5a8a47665d37917e0f1ee45330da7fe62ee",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-11-15T22:43:23Z",
    "title_canon_sha256": "0d63fdb33ecd9d5f43f0948b2d854f419ad440012268c32eb85d2bd6dd467274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9911341",
    "kind": "arxiv",
    "version": 2
  }
}