Pith Number

pith:BFHXLP3Q

pith:2015:BFHXLP3QCQS3QYFNZM2OW5NKIU

not attested not anchored not stored refs pending

The hidden symmetries in the PMNS matrix and the light sterile neutrino(s)

Hong-Wei Ke, Jia-Hui Zhou, Shuai Chen, Tan Liu, Xue-Qian Li

arxiv:1502.00875 v4 · 2015-02-03 · 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{BFHXLP3QCQS3QYFNZM2OW5NKIU}

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	2026-05-18T01:35:26.940784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

094f75bf701425b860adcb34eb75aa450edaf532598c13ca0bbc1f369149cbc7

Aliases

arxiv: 1502.00875 · arxiv_version: 1502.00875v4 · doi: 10.48550/arxiv.1502.00875 · pith_short_12: BFHXLP3QCQS3 · pith_short_16: BFHXLP3QCQS3QYFN · pith_short_8: BFHXLP3Q

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/BFHXLP3QCQS3QYFNZM2OW5NKIU \
  | 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: 094f75bf701425b860adcb34eb75aa450edaf532598c13ca0bbc1f369149cbc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea8ee360fc722524aefe2952e8647911f3a6ead119659516741ef5e4ee987edc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-02-03T14:42:45Z",
    "title_canon_sha256": "f72d553e02dc1aedbb797abd03b00c2164a63b5ab039682b718ee03d885dfc45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00875",
    "kind": "arxiv",
    "version": 4
  }
}