Pith Number

pith:4Y3KNG6E

pith:2015:4Y3KNG6ECGW36OGQTZHQOK2R7H

not attested not anchored not stored refs pending

A Bottom-Up Approach to Lepton Flavor and CP Symmetries

Alexander J. Stuart, Lisa L. Everett, Todd Garon

arxiv:1501.04336 v2 · 2015-01-18 · 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{4Y3KNG6ECGW36OGQTZHQOK2R7H}

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	2026-05-18T01:41:10.367019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e636a69bc411adbf38d09e4f072b51f9e552cdee33153d83925b69065e1be224

Aliases

arxiv: 1501.04336 · arxiv_version: 1501.04336v2 · doi: 10.48550/arxiv.1501.04336 · pith_short_12: 4Y3KNG6ECGW3 · pith_short_16: 4Y3KNG6ECGW36OGQ · pith_short_8: 4Y3KNG6E

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/4Y3KNG6ECGW36OGQTZHQOK2R7H \
  | 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: e636a69bc411adbf38d09e4f072b51f9e552cdee33153d83925b69065e1be224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19dcc46da8951f754f1cbbd93238a082378f4ea4b7f309f64d84c7dd899a3e45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-01-18T19:12:25Z",
    "title_canon_sha256": "3c7cce1b2090c927b046341acb318ce4c3e79b902d9c8d9e43fca3bbe1a3d23c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04336",
    "kind": "arxiv",
    "version": 2
  }
}