Pith Number

pith:PJGAZCSC

pith:2019:PJGAZCSCP6WWIQXVF3SWNJK2P6

not attested not anchored not stored refs pending

The number of sufficient and necessary conditions for CP conservation with Majorana neutrinos: three or four?

Bingrong Yu, Shun Zhou

arxiv:1908.09306 v3 · 2019-08-25 · 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{PJGAZCSCP6WWIQXVF3SWNJK2P6}

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	2026-07-05T03:19:38.020903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4c0c8a427fad6442f52ee566a55a7faba02d228d3c4bcf8091210ffb2be0f7

Aliases

arxiv: 1908.09306 · arxiv_version: 1908.09306v3 · doi: 10.48550/arxiv.1908.09306 · pith_short_12: PJGAZCSCP6WW · pith_short_16: PJGAZCSCP6WWIQXV · pith_short_8: PJGAZCSC

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/PJGAZCSCP6WWIQXVF3SWNJK2P6 \
  | 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: 7a4c0c8a427fad6442f52ee566a55a7faba02d228d3c4bcf8091210ffb2be0f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10cadba18fd88aad781aa86232d10748a731d11b799d2ea2409b4a6266009c85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-08-25T11:49:03Z",
    "title_canon_sha256": "c3c0d9048a18f7b3a8d5d54a9802e64ed53aca8d6a40658d6ecfec17ac86ec81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09306",
    "kind": "arxiv",
    "version": 3
  }
}