Pith. sign in
Pith Number

pith:TPAYKNO2

pith:2018:TPAYKNO265PFEXIBPQL5V2EGNY
not attested not anchored not stored refs pending

Modifications to the neutrino mixing from the mu-tau reflection symmetry

Zhen-hua Zhao

arxiv:1803.04603 v2 · 2018-03-13 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TPAYKNO265PFEXIBPQL5V2EGNY}

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 2026-05-18T00:04:49.538300Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9bc18535daf75e525d017c17dae8866e210a16dd879ca6f38bd4b2327dc7138e

Aliases

arxiv: 1803.04603 · arxiv_version: 1803.04603v2 · doi: 10.48550/arxiv.1803.04603 · pith_short_12: TPAYKNO265PF · pith_short_16: TPAYKNO265PFEXIB · pith_short_8: TPAYKNO2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TPAYKNO265PFEXIBPQL5V2EGNY \
  | 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: 9bc18535daf75e525d017c17dae8866e210a16dd879ca6f38bd4b2327dc7138e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2a95c7bb1cd4351e3c1285b40bc15e3b4524db511adadcc2323b0e06de6afe3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-03-13T02:50:19Z",
    "title_canon_sha256": "fd04d71541437783e5da67289ac6371913efac74b7f4383940dccdac3c67cd0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04603",
    "kind": "arxiv",
    "version": 2
  }
}