Pith Number

pith:ZMPARMHM

pith:1998:ZMPARMHMPFIO4GW4J4YMPIMI6F

not attested not anchored not stored refs pending

Splitting of Three Nearly Mass-Degenerate Neutrinos

Ernest Ma (UC Riverside)

arxiv:hep-ph/9812344 v2 · 1998-12-12 · 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{ZMPARMHMPFIO4GW4J4YMPIMI6F}

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	2026-07-04T16:09:37.915443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb1e08b0ec7950ee1adc4f30c7a188f15069ad82c8d5f7374b924785ffc8cc84

Aliases

arxiv: hep-ph/9812344 · arxiv_version: hep-ph/9812344v2 · doi: 10.48550/arxiv.hep-ph/9812344 · pith_short_12: ZMPARMHMPFIO · pith_short_16: ZMPARMHMPFIO4GW4 · pith_short_8: ZMPARMHM

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/ZMPARMHMPFIO4GW4J4YMPIMI6F \
  | 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: cb1e08b0ec7950ee1adc4f30c7a188f15069ad82c8d5f7374b924785ffc8cc84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f7a76e11ab84679eece4bf2c7a6bef7609f8ac702b4f538c3e091948b32b287",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-12-12T20:21:17Z",
    "title_canon_sha256": "292141d47702c9044782fdf358ec4bb1805cb2b916df3b15327c2fe5ff947612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9812344",
    "kind": "arxiv",
    "version": 2
  }
}