Pith Number

pith:GCZ27AUM

pith:2006:GCZ27AUM23KIGR2FGHZQN6M746

not attested not anchored not stored refs pending

Minimal Modification To The Tri-bimaximal Neutrino Mixing

A. Zee, Xiao-Gang He

arxiv:hep-ph/0607163 v3 · 2006-07-14 · hep-ph · hep-ex

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCZ27AUM23KIGR2FGHZQN6M746}

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

Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing

Receipt and verification

First computed	2026-07-04T15:17:07.587193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b3af828cd6d483474531f306f99fe7961151c925cc8f48e5f44ccbe286d505

Aliases

arxiv: hep-ph/0607163 · arxiv_version: hep-ph/0607163v3 · doi: 10.48550/arxiv.hep-ph/0607163 · pith_short_12: GCZ27AUM23KI · pith_short_16: GCZ27AUM23KIGR2F · pith_short_8: GCZ27AUM

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/GCZ27AUM23KIGR2FGHZQN6M746 \
  | 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: 30b3af828cd6d483474531f306f99fe7961151c925cc8f48e5f44ccbe286d505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8090c8dd07881279f0557eece34879325723f736477aeb4d42397da690c6db8",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-07-14T06:33:03Z",
    "title_canon_sha256": "d3633e4e5c5b79d502d3bc1bb696c2bc3cbb53620beab89536c94bbea2f75629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0607163",
    "kind": "arxiv",
    "version": 3
  }
}