Pith Number

pith:YPVZR5KX

pith:2016:YPVZR5KXIFAIE23ZQTCCQYSMFM

not attested not anchored not stored refs pending

Accommodation of the Dirac Phase in the Krauss-Nasri-Trodden Model

Hiroshi Okada, Hiroyuki Ishida, kingman Cheung

arxiv:1609.06231 v2 · 2016-09-20 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPVZR5KXIFAIE23ZQTCCQYSMFM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:51:25.284785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3eb98f5574140826b7984c428624c2b3bc8661490640f79451774af39f4a9a1

Aliases

arxiv: 1609.06231 · arxiv_version: 1609.06231v2 · doi: 10.48550/arxiv.1609.06231 · pith_short_12: YPVZR5KXIFAI · pith_short_16: YPVZR5KXIFAIE23Z · pith_short_8: YPVZR5KX

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/YPVZR5KXIFAIE23ZQTCCQYSMFM \
  | 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: c3eb98f5574140826b7984c428624c2b3bc8661490640f79451774af39f4a9a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b1a3961d49a4e76d6c0da3f2ed2ac94cf34219f43a03562b01d74cd80eb824",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-09-20T15:54:10Z",
    "title_canon_sha256": "c24f2f7b77a6f79c78d4c7cc03f7e6e77084ddc311891659b8a1f65f17fd0da9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06231",
    "kind": "arxiv",
    "version": 2
  }
}