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Pith Number

pith:IPWO2777

pith:2012:IPWO2777OVWN6H4LGAR3BUAGUS
not attested not anchored not stored refs pending

Heptagonic Symmetry for Quarks and Leptons

Alexander Natale, Daniel Wegman (UC Riverside), Ernest Ma, Subhaditya Bhattacharya

arxiv:1210.6936 v1 · 2012-10-25 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IPWO2777OVWN6H4LGAR3BUAGUS}

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 2026-05-18T03:32:31.524473Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

43eced7fff756cdf1f8b3023b0d006a4a4be323eb5d38f0f0941ec36f5741840

Aliases

arxiv: 1210.6936 · arxiv_version: 1210.6936v1 · doi: 10.48550/arxiv.1210.6936 · pith_short_12: IPWO2777OVWN · pith_short_16: IPWO2777OVWN6H4L · pith_short_8: IPWO2777
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IPWO2777OVWN6H4LGAR3BUAGUS \
  | 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: 43eced7fff756cdf1f8b3023b0d006a4a4be323eb5d38f0f0941ec36f5741840
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9a1fc80308fb04c5c527f017ab4aefcab0f305d06ce7b5bfa9e5ecf6f39a0b0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-10-25T18:37:09Z",
    "title_canon_sha256": "62731b3e9cfaf1bfead49c9b3d270efc86416326084f8bd2c0dc88d4afe50d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6936",
    "kind": "arxiv",
    "version": 1
  }
}