Pith Number

pith:2P7HTHAZ

pith:2009:2P7HTHAZDUDCXUD2QLTNVGJBRW

not attested not anchored not stored refs pending

Left-right symmetric model with $\mu\leftrightarrow\tau$ symmetry

Abdel P\'erez-Lorenzana, Juan Carlos G\'omez-Izquierdo

arxiv:0912.5210 v3 · 2009-12-28 · 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{2P7HTHAZDUDCXUD2QLTNVGJBRW}

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	2026-05-18T02:33:55.240658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3fe799c191d062bd07a82e6da99218db574c04c53b2f0d5a8250eac8900daed

Aliases

arxiv: 0912.5210 · arxiv_version: 0912.5210v3 · doi: 10.48550/arxiv.0912.5210 · pith_short_12: 2P7HTHAZDUDC · pith_short_16: 2P7HTHAZDUDCXUD2 · pith_short_8: 2P7HTHAZ

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/2P7HTHAZDUDCXUD2QLTNVGJBRW \
  | 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: d3fe799c191d062bd07a82e6da99218db574c04c53b2f0d5a8250eac8900daed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7ba1298c4245b30914af075c98ca58d5c94dbeb414215774db9b649ade98689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-12-28T19:37:54Z",
    "title_canon_sha256": "96620d9f8d9b8ea78f4e2871afdafa37c876a474bc5e4e64a0e7c12c8f1cc13a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5210",
    "kind": "arxiv",
    "version": 3
  }
}