Pith Number

pith:KNF7CGW7

pith:2015:KNF7CGW7F5DICKI2UXDZYCOMGL

not attested not anchored not stored refs pending

Leptonic Dirac CP Violation Predictions from Residual Discrete Symmetries

Alexander J. Stuart, A. V. Titov, I. Girardi, S. T. Petcov

arxiv:1509.02502 v2 · 2015-09-08 · 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{KNF7CGW7F5DICKI2UXDZYCOMGL}

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	2026-05-18T01:23:55.508857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

534bf11adf2f4681291aa5c79c09cc32e349da31c609fc20333b4f4a7ee8cbf2

Aliases

arxiv: 1509.02502 · arxiv_version: 1509.02502v2 · doi: 10.48550/arxiv.1509.02502 · pith_short_12: KNF7CGW7F5DI · pith_short_16: KNF7CGW7F5DICKI2 · pith_short_8: KNF7CGW7

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/KNF7CGW7F5DICKI2UXDZYCOMGL \
  | 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: 534bf11adf2f4681291aa5c79c09cc32e349da31c609fc20333b4f4a7ee8cbf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d1064682b9f4561a64072f297a23bec1e202c4a9c6e5fb2bef69378ae95ae2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-09-08T19:15:54Z",
    "title_canon_sha256": "75f222787bbe22f9d0695c34d5c4e71416d484db9c3dcb027247be8a8341a7b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02502",
    "kind": "arxiv",
    "version": 2
  }
}