Pith Number

pith:LM5CTKRJ

pith:2011:LM5CTKRJDNGASASAOZMBR6PB4L

not attested not anchored not stored refs pending

Invariants, Alignment and the Pattern of Fermion Masses and Mixing

G. C. Branco, J. I. Silva-Marcos

arxiv:1112.1631 v1 · 2011-12-07 · 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{LM5CTKRJDNGASASAOZMBR6PB4L}

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	2026-05-18T01:59:15.581083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b3a29aa291b4c090240765818f9e1e2cd9afaef0802bf344180a5a663136838

Aliases

arxiv: 1112.1631 · arxiv_version: 1112.1631v1 · doi: 10.48550/arxiv.1112.1631 · pith_short_12: LM5CTKRJDNGA · pith_short_16: LM5CTKRJDNGASASA · pith_short_8: LM5CTKRJ

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/LM5CTKRJDNGASASAOZMBR6PB4L \
  | 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: 5b3a29aa291b4c090240765818f9e1e2cd9afaef0802bf344180a5a663136838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba6583ce3aa28112f3f49d7b526ec652970a0219c051fea660618f218019d2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-12-07T17:12:16Z",
    "title_canon_sha256": "0ce4f7bc49026ea9d3d6336e1bcf9f3d42271d19284638e008c27e5270cd91e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1631",
    "kind": "arxiv",
    "version": 1
  }
}