Pith Number

pith:X7V7DKD3

pith:2016:X7V7DKD3E4AZKEBLYR5QLW7GG7

not attested not anchored not stored refs pending

Vector-Like Quarks and Leptons, SU(5) $\otimes$ SU(5) Grand Unification, and Proton Decay

Chang-Hun Lee, Rabindra N. Mohapatra

arxiv:1611.05478 v1 · 2016-11-16 · 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{X7V7DKD3E4AZKEBLYR5QLW7GG7}

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	2026-05-18T00:50:28.913755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfebf1a87b270195102bc47b05dbe637c73d3bb3972d63d6f8b864d50aa64f36

Aliases

arxiv: 1611.05478 · arxiv_version: 1611.05478v1 · doi: 10.48550/arxiv.1611.05478 · pith_short_12: X7V7DKD3E4AZ · pith_short_16: X7V7DKD3E4AZKEBL · pith_short_8: X7V7DKD3

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/X7V7DKD3E4AZKEBLYR5QLW7GG7 \
  | 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: bfebf1a87b270195102bc47b05dbe637c73d3bb3972d63d6f8b864d50aa64f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9297c63bbc12d70ad09c9fdf261d885690c04d801e4faf6c40472e2f4c191b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-11-16T21:56:58Z",
    "title_canon_sha256": "05909a5ba409a2914144a31dbd1fea523a983e4f4cf2912e394e809dd0ed6dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05478",
    "kind": "arxiv",
    "version": 1
  }
}