Pith Number

pith:7MM45PW3

pith:2014:7MM45PW3X5QCHRU6JUFH6BUPM4

not attested not anchored not stored refs pending

Lepton Mixing, Residual Symmetries, and Trigonometric Diophantine Equations

Bo Hu

arxiv:1407.4722 v2 · 2014-07-17 · 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{7MM45PW3X5QCHRU6JUFH6BUPM4}

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	2026-05-18T02:34:52.041611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb19cebedbbf6023c69e4d0a7f068f6719b8dc1f8f125f68807bc29ed37b6455

Aliases

arxiv: 1407.4722 · arxiv_version: 1407.4722v2 · doi: 10.48550/arxiv.1407.4722 · pith_short_12: 7MM45PW3X5QC · pith_short_16: 7MM45PW3X5QCHRU6 · pith_short_8: 7MM45PW3

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/7MM45PW3X5QCHRU6JUFH6BUPM4 \
  | 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: fb19cebedbbf6023c69e4d0a7f068f6719b8dc1f8f125f68807bc29ed37b6455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815f1a5dc250f55c0cf061a1eaf2579ca0c65b7277ec566c598fc3ee9e8cdcad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-07-17T16:11:44Z",
    "title_canon_sha256": "8167cb99f29768a3c644351decea3aafc4382670609e6cc259581ed53e7d2f00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4722",
    "kind": "arxiv",
    "version": 2
  }
}