Pith Number

pith:6P7NA3W5

pith:2011:6P7NA3W5UZGLTWZVDD5KTU5CBG

not attested not anchored not stored refs pending

Non-Abelian family symmetries in Pati-Salam unification

Ivo de Medeiros Varzielas

arxiv:1111.3952 v2 · 2011-11-16 · 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{6P7NA3W5UZGLTWZVDD5KTU5CBG}

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	2026-05-18T01:59:32.065563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3fed06edda64cb9db3518faa9d3a209817fe0af0c205eb678c74cb572d72bb2

Aliases

arxiv: 1111.3952 · arxiv_version: 1111.3952v2 · doi: 10.48550/arxiv.1111.3952 · pith_short_12: 6P7NA3W5UZGL · pith_short_16: 6P7NA3W5UZGLTWZV · pith_short_8: 6P7NA3W5

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/6P7NA3W5UZGLTWZVDD5KTU5CBG \
  | 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: f3fed06edda64cb9db3518faa9d3a209817fe0af0c205eb678c74cb572d72bb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96195b0debed571736d59daa982354e81ec4c479ea550c324f182ffb7d6d9d4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-11-16T21:00:18Z",
    "title_canon_sha256": "87642cf621933704f7a78065091b1a827695fe06daba1e0bad3ab44280886467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3952",
    "kind": "arxiv",
    "version": 2
  }
}