Pith Number

pith:ZFMIU2CP

pith:2017:ZFMIU2CP4O43P3IY74XHNS26LJ

not attested not anchored not stored refs pending

The $\mu-\tau$ reflection symmetry of Dirac neutrinos and its breaking effect via quantum corrections

Di Zhang, Jing-yu Zhu, Zhi-zhong Xing

arxiv:1708.09144 v2 · 2017-08-30 · 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{ZFMIU2CP4O43P3IY74XHNS26LJ}

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	2026-05-18T00:25:55.391456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9588a684fe3b9b7ed18ff2e76cb5e5a443265751b55eb4584f518fafb64eefb

Aliases

arxiv: 1708.09144 · arxiv_version: 1708.09144v2 · doi: 10.48550/arxiv.1708.09144 · pith_short_12: ZFMIU2CP4O43 · pith_short_16: ZFMIU2CP4O43P3IY · pith_short_8: ZFMIU2CP

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/ZFMIU2CP4O43P3IY74XHNS26LJ \
  | 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: c9588a684fe3b9b7ed18ff2e76cb5e5a443265751b55eb4584f518fafb64eefb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57b8893169b8788c943301ed9bbba2502bac35fb9dacf74d3e54ed938db8dae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-08-30T07:23:53Z",
    "title_canon_sha256": "872325a71140293fbc058968c661a9f0e95653481579d845afc6eafe8fa3e06d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09144",
    "kind": "arxiv",
    "version": 2
  }
}