Pith Number

pith:P7LY7PYL

pith:2009:P7LY7PYLTPNXH7ZUX3KV5E2WG6

not attested not anchored not stored refs pending

Z(3) Flavor Symmetry and Possible Implications

M.J.Luo

arxiv:0905.3936 v1 · 2009-05-25 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7LY7PYLTPNXH7ZUX3KV5E2WG6}

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	2026-05-18T02:34:46.209479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd78fbf0b9bdb73ff34bed55e93563784f45bce69bb74a627459331ebeaaccb

Aliases

arxiv: 0905.3936 · arxiv_version: 0905.3936v1 · doi: 10.48550/arxiv.0905.3936 · pith_short_12: P7LY7PYLTPNX · pith_short_16: P7LY7PYLTPNXH7ZU · pith_short_8: P7LY7PYL

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/P7LY7PYLTPNXH7ZUX3KV5E2WG6 \
  | 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: 7fd78fbf0b9bdb73ff34bed55e93563784f45bce69bb74a627459331ebeaaccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b73b8a14959596bdf255c1ec41b15f2acf18ba5c42899a6f8feade29e217d2bd",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-05-25T02:47:48Z",
    "title_canon_sha256": "8491178c924a3caae83c1670078770b8322264a9bc0471dd252365f6fb3d41b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3936",
    "kind": "arxiv",
    "version": 1
  }
}