Pith Number

pith:6PQK7G6T

pith:2011:6PQK7G6TFZVIUIKCR4SMHILA2G

not attested not anchored not stored refs pending

Finite Modular Groups and Lepton Mixing

Claudia Hagedorn, Ferruccio Feruglio, Reinier de Adelhart Toorop

arxiv:1112.1340 v1 · 2011-12-06 · 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{6PQK7G6TFZVIUIKCR4SMHILA2G}

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.

Cited by

1 paper in Pith

Predictions of Modular Symmetry Fixed Points on Neutrino Masses, Mixing, and Leptogenesis

Receipt and verification

First computed	2026-05-18T01:59:16.334599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e0af9bd32e6a8a21428f24c3a160d19c5927086aaebc52132ba85c0f343f2d

Aliases

arxiv: 1112.1340 · arxiv_version: 1112.1340v1 · doi: 10.48550/arxiv.1112.1340 · pith_short_12: 6PQK7G6TFZVI · pith_short_16: 6PQK7G6TFZVIUIKC · pith_short_8: 6PQK7G6T

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/6PQK7G6TFZVIUIKCR4SMHILA2G \
  | 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: f3e0af9bd32e6a8a21428f24c3a160d19c5927086aaebc52132ba85c0f343f2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3300e34ac3e6f9cc0f5561f74d5fae498d883460c65f6b3acbfe5a15d8a801df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-12-06T16:37:40Z",
    "title_canon_sha256": "90e26e7fad020313b5694ee1827584519c6604d093562ff292e63fa5eae8b10d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1340",
    "kind": "arxiv",
    "version": 1
  }
}