Pith Number

pith:PNR2IWA4

pith:1994:PNR2IWA4FJ5U3MVEHPFTTMVZ3R

not attested not anchored not stored refs pending

Gauge Hierarchy in ${\bf SU(3)_c \times SU(3)_L \times SU(3)_R}$ and Low Energy Implication

G. Dvali, Q. Shafi

arxiv:hep-ph/9401337 v1 · 1994-01-26 · 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{PNR2IWA4FJ5U3MVEHPFTTMVZ3R}

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	2026-05-18T04:22:18.940553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b63a4581c2a7b4db2a43bcb39b2b9dc55afd1668a6d7d1636288c18fe72c81c

Aliases

arxiv: hep-ph/9401337 · arxiv_version: hep-ph/9401337v1 · doi: 10.48550/arxiv.hep-ph/9401337 · pith_short_12: PNR2IWA4FJ5U · pith_short_16: PNR2IWA4FJ5U3MVE · pith_short_8: PNR2IWA4

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/PNR2IWA4FJ5U3MVEHPFTTMVZ3R \
  | 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: 7b63a4581c2a7b4db2a43bcb39b2b9dc55afd1668a6d7d1636288c18fe72c81c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6805b3dec9aba646e44728e41656e9c05d9f281a420d58404f4ec865b3e16438",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1994-01-26T20:45:36Z",
    "title_canon_sha256": "bddb420d63fe69cec15ef65c619c919b2d12ff2226448d498720a4b97576f985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9401337",
    "kind": "arxiv",
    "version": 1
  }
}