Pith Number

pith:46ZVQQPU

pith:2011:46ZVQQPU4PA42YLRY22MYUNEVJ

not attested not anchored not stored refs pending

The Frobenius group T13 and the canonical see-saw mechanism applied to neutrino mixing

Christine Hartmann

arxiv:1109.5143 v3 · 2011-09-23 · 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{46ZVQQPU4PA42YLRY22MYUNEVJ}

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	2026-05-18T03:23:13.449414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b35841f4e3c1cd6171c6b4cc51a4aa551c008eda266a30d77d65dde9686b4f

Aliases

arxiv: 1109.5143 · arxiv_version: 1109.5143v3 · doi: 10.48550/arxiv.1109.5143 · pith_short_12: 46ZVQQPU4PA4 · pith_short_16: 46ZVQQPU4PA42YLR · pith_short_8: 46ZVQQPU

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/46ZVQQPU4PA42YLRY22MYUNEVJ \
  | 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: e7b35841f4e3c1cd6171c6b4cc51a4aa551c008eda266a30d77d65dde9686b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cbbaf78a8786f8fd12ff61a31e6a9a7dd30183e6903f1f94607bd36ec451e55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-09-23T17:48:02Z",
    "title_canon_sha256": "30ed93003b2486de8ebab72f9035f3aca6cf5a4f308229aa52aa23171b3cfb7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5143",
    "kind": "arxiv",
    "version": 3
  }
}