Pith Number

pith:OOU5WXKZ

pith:2011:OOU5WXKZJXP4KLJJHJLD3JHHKM

not attested not anchored not stored refs pending

Minimal Modification to Tri-bimaximal Mixing

A. Zee, Xiao-Gang He

arxiv:1106.4359 v4 · 2011-06-22 · hep-ph · hep-ex

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOU5WXKZJXP4KLJJHJLD3JHHKM}

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	2026-05-18T02:01:32.177860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73a9db5d594ddfc52d293a563da4e7530fedb80ecbbeda5d7fcb08d1682c450c

Aliases

arxiv: 1106.4359 · arxiv_version: 1106.4359v4 · doi: 10.48550/arxiv.1106.4359 · pith_short_12: OOU5WXKZJXP4 · pith_short_16: OOU5WXKZJXP4KLJJ · pith_short_8: OOU5WXKZ

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/OOU5WXKZJXP4KLJJHJLD3JHHKM \
  | 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: 73a9db5d594ddfc52d293a563da4e7530fedb80ecbbeda5d7fcb08d1682c450c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1242444da160ca640d289342afac7a926aad444eefbf7b021ca61979551be921",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-06-22T01:40:44Z",
    "title_canon_sha256": "085a32f82e9c31d3b1263772f802704d463ffbf84f2cc1984fc8e610818461c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4359",
    "kind": "arxiv",
    "version": 4
  }
}