Pith Number

pith:7V22TFRF

pith:2001:7V22TFRFKTA22OU6XV5H36TDDB

not attested not anchored not stored refs pending

$SU(3)_c\otimes SU(3)_L\otimes U(1)_X$ as an $E_6$ Subgroup

Luis A. Sanchez, R. Martinez, William A. Ponce

arxiv:hep-ph/0103244 v2 · 2001-03-22 · 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{7V22TFRFKTA22OU6XV5H36TDDB}

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	2026-05-18T04:26:11.573899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd75a9962554c1ad3a9ebd7a7dfa6318504c88ecae268e956def581388695989

Aliases

arxiv: hep-ph/0103244 · arxiv_version: hep-ph/0103244v2 · doi: 10.48550/arxiv.hep-ph/0103244 · pith_short_12: 7V22TFRFKTA2 · pith_short_16: 7V22TFRFKTA22OU6 · pith_short_8: 7V22TFRF

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/7V22TFRFKTA22OU6XV5H36TDDB \
  | 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: fd75a9962554c1ad3a9ebd7a7dfa6318504c88ecae268e956def581388695989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab13ed972d906c916f88cd8d0bde3b59c1cc98953ed883c53bf429be1c8f1c85",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-03-22T21:41:30Z",
    "title_canon_sha256": "4ad6f8ff38e0c79d26f8bc1ecb028e0d0ac5366e8fae09626cabf250d0948ab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0103244",
    "kind": "arxiv",
    "version": 2
  }
}