Pith Number

pith:VMS2NTSF

pith:2015:VMS2NTSFBI5IX74N3AGDASB7XC

not attested not anchored not stored refs pending

Neutrino Oscillation Probabilities in Matter with Direct and Indirect Unitarity Violation in the Lepton Mixing Matrix

Shu Luo, Yu-Feng Li

arxiv:1508.00052 v2 · 2015-07-31 · hep-ph · hep-ex

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMS2NTSFBI5IX74N3AGDASB7XC}

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	2026-05-18T01:19:48.350934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab25a6ce450a3a8bff8dd80c30483fb8ae4e944393c547de2459ef35fbebd8ba

Aliases

arxiv: 1508.00052 · arxiv_version: 1508.00052v2 · doi: 10.48550/arxiv.1508.00052 · pith_short_12: VMS2NTSFBI5I · pith_short_16: VMS2NTSFBI5IX74N · pith_short_8: VMS2NTSF

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/VMS2NTSFBI5IX74N3AGDASB7XC \
  | 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: ab25a6ce450a3a8bff8dd80c30483fb8ae4e944393c547de2459ef35fbebd8ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db0c9d81c9003263110ce78b7573057b74c4098f5d8cfc63bf08e161dac5d82",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-07-31T23:33:41Z",
    "title_canon_sha256": "cc4be6f262a82cb7e8536d16ec95c565280501a3eb92321ef943bf368d99b5d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00052",
    "kind": "arxiv",
    "version": 2
  }
}