Pith Number

pith:X7CTD2AR

pith:2013:X7CTD2ARQU777Z23MEEYR7BV3Y

not attested not anchored not stored refs pending

Horizontal symmetries of leptons with a massless neutrino

Anjan S. Joshipura, Ketan M. Patel

arxiv:1306.1890 v2 · 2013-06-08 · 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{X7CTD2ARQU777Z23MEEYR7BV3Y}

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	2026-05-18T03:01:35.777955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc531e811853fffe75b610988fc35de38a26f2e11107bd5ecad03778e288ab7

Aliases

arxiv: 1306.1890 · arxiv_version: 1306.1890v2 · doi: 10.48550/arxiv.1306.1890 · pith_short_12: X7CTD2ARQU77 · pith_short_16: X7CTD2ARQU777Z23 · pith_short_8: X7CTD2AR

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/X7CTD2ARQU777Z23MEEYR7BV3Y \
  | 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: bfc531e811853fffe75b610988fc35de38a26f2e11107bd5ecad03778e288ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f0fc1f266843013d7e5733bfc3899130a417dfbab32b560045210287ba8b1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-06-08T07:59:12Z",
    "title_canon_sha256": "c99869e799f5edfe7fa93d5352e13226d0e7b8de7ef9bbd12dbe64b25e34a792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1890",
    "kind": "arxiv",
    "version": 2
  }
}