Pith Number

pith:FZ7MSHHC

pith:2011:FZ7MSHHCMJYEEKX3MZ56CEGPVN

not attested not anchored not stored refs pending

Explicit and spontaneous breaking of SU(3) into its finite subgroups

Alexander Merle, Roman Zwicky

arxiv:1110.4891 v2 · 2011-10-21 · hep-ph · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZ7MSHHCMJYEEKX3MZ56CEGPVN}

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

Trimaximal TM$_1$ mixing with two modular $S_4$ groups

Receipt and verification

First computed	2026-05-18T02:00:07.059833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7ec91ce26270422afb667be110cfab59200932053cdbbfeb933c70daa31c98

Aliases

arxiv: 1110.4891 · arxiv_version: 1110.4891v2 · doi: 10.48550/arxiv.1110.4891 · pith_short_12: FZ7MSHHCMJYE · pith_short_16: FZ7MSHHCMJYEEKX3 · pith_short_8: FZ7MSHHC

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/FZ7MSHHCMJYEEKX3MZ56CEGPVN \
  | 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: 2e7ec91ce26270422afb667be110cfab59200932053cdbbfeb933c70daa31c98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b913ee0c264b71ae0946130e86b1eb62b819261a6c2237d9ab2cc50c733891",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-10-21T20:00:04Z",
    "title_canon_sha256": "1142182db0349ecccaedd49e149e340e1d166662eb6db9d5a1e43b91ac471956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4891",
    "kind": "arxiv",
    "version": 2
  }
}