Pith Number

pith:MU2PJRUO

pith:2012:MU2PJRUOMXL7JUWO7MHQJRFDTN

not attested not anchored not stored refs pending

Correlations of the elements of the neutrino mass matrix

Patrick Otto Ludl, Walter Grimus

arxiv:1209.2601 v2 · 2012-09-12 · 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{MU2PJRUOMXL7JUWO7MHQJRFDTN}

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	2026-05-18T01:54:29.960042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6534f4c68e65d7f4d2cefb0f04c4a39b7f783da332bdf9e3f8f6fbf945d3c181

Aliases

arxiv: 1209.2601 · arxiv_version: 1209.2601v2 · doi: 10.48550/arxiv.1209.2601 · pith_short_12: MU2PJRUOMXL7 · pith_short_16: MU2PJRUOMXL7JUWO · pith_short_8: MU2PJRUO

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/MU2PJRUOMXL7JUWO7MHQJRFDTN \
  | 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: 6534f4c68e65d7f4d2cefb0f04c4a39b7f783da332bdf9e3f8f6fbf945d3c181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f31bf89e1c7466002ba15d4493986bb3f678d7e26a8bccbb6ad57bfb94ea3d9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-09-12T13:13:14Z",
    "title_canon_sha256": "bcd50094e2dba27f65ce85674039a0758f60619f1a9d12a52d457dcb3e7481a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2601",
    "kind": "arxiv",
    "version": 2
  }
}