Pith Number

pith:YKKNQKE4

pith:2012:YKKNQKE4T3MRMCENLAPXZPNWGP

not attested not anchored not stored refs pending

Quark-lepton complementarity and self-complementarity in different schemes

Bo-Qiang Ma, Xinyi Zhang, Yijia Zhang

arxiv:1211.3198 v2 · 2012-11-14 · 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{YKKNQKE4T3MRMCENLAPXZPNWGP}

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	2026-05-18T03:40:28.248851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c294d8289c9ed916088d581f7cbdb633f74cba20b6effa55f4a2d6349344fac0

Aliases

arxiv: 1211.3198 · arxiv_version: 1211.3198v2 · doi: 10.48550/arxiv.1211.3198 · pith_short_12: YKKNQKE4T3MR · pith_short_16: YKKNQKE4T3MRMCEN · pith_short_8: YKKNQKE4

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/YKKNQKE4T3MRMCENLAPXZPNWGP \
  | 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: c294d8289c9ed916088d581f7cbdb633f74cba20b6effa55f4a2d6349344fac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a4d6498c1537172196080d69c5136dfd273244c574353cbe678bf7415a89bec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-11-14T03:45:48Z",
    "title_canon_sha256": "d4d975c597b7f9a1eb5171382a91944da2546a5809168192688a03701ba0e58c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3198",
    "kind": "arxiv",
    "version": 2
  }
}