Pith Number

pith:VWXWDUQG

pith:2011:VWXWDUQGUSN2JUQELSGZMAU2LA

not attested not anchored not stored refs pending

Neutrino Mixing and the Frobenius Group T13

A. Zee, Christine Hartmann

arxiv:1106.0333 v3 · 2011-06-01 · 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{VWXWDUQGUSN2JUQELSGZMAU2LA}

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	2026-05-18T04:14:05.739415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adaf61d206a49ba4d2045c8d96029a582461733202562445778ed0d79752d911

Aliases

arxiv: 1106.0333 · arxiv_version: 1106.0333v3 · doi: 10.48550/arxiv.1106.0333 · pith_short_12: VWXWDUQGUSN2 · pith_short_16: VWXWDUQGUSN2JUQE · pith_short_8: VWXWDUQG

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/VWXWDUQGUSN2JUQELSGZMAU2LA \
  | 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: adaf61d206a49ba4d2045c8d96029a582461733202562445778ed0d79752d911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93b71fc847cf33e0e443f28e6ad1c283316f03e92a00b40eb8a1ad6f54044014",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-06-01T22:42:51Z",
    "title_canon_sha256": "012a014f55f6a68874a3e7a0ce0281203642c6fb9448108877da0655584dbab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0333",
    "kind": "arxiv",
    "version": 3
  }
}