Pith Number

pith:X23KA6EO

pith:2011:X23KA6EO7WA76HBM56X26JW2CD

not attested not anchored not stored refs pending

Binary Icosahedral Flavor Symmetry for Four Generations of Quarks and Leptons

Chian-Shu Chen, Thomas W. Kephart, Tzu-Chiang Yuan

arxiv:1110.6233 v2 · 2011-10-28 · 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{X23KA6EO7WA76HBM56X26JW2CD}

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	2026-05-18T02:52:40.183523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb6a0788efd81ff1c2cefafaf26da10edf30b3d6f243c9f64b1a1dd23625f64

Aliases

arxiv: 1110.6233 · arxiv_version: 1110.6233v2 · doi: 10.48550/arxiv.1110.6233 · pith_short_12: X23KA6EO7WA7 · pith_short_16: X23KA6EO7WA76HBM · pith_short_8: X23KA6EO

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/X23KA6EO7WA76HBM56X26JW2CD \
  | 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: beb6a0788efd81ff1c2cefafaf26da10edf30b3d6f243c9f64b1a1dd23625f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac97d87a7dd97d64cde63e04f147bed26cb2f6a9a34689468a0e49df7815e611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-10-28T02:02:47Z",
    "title_canon_sha256": "fcf2f3109b51476777abfc6aaeb758dc7e2f112b1e260fdd97e929fd313383f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6233",
    "kind": "arxiv",
    "version": 2
  }
}