Pith Number

pith:Q7IYITYO

pith:1999:Q7IYITYOPA5EAECY3XRVCXLCGX

not attested not anchored not stored refs pending

Charge assignments in multiple-U(1) gauge theories

Tatsu Takeuchi (Virginia Tech), Will Loinaz

arxiv:hep-ph/9903362 v1 · 1999-03-15 · 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{Q7IYITYOPA5EAECY3XRVCXLCGX}

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	2026-05-18T01:08:00.612199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d1844f0e783a401058dde3515d6235c012335465065e339895d4bac7d28d32

Aliases

arxiv: hep-ph/9903362 · arxiv_version: hep-ph/9903362v1 · doi: 10.48550/arxiv.hep-ph/9903362 · pith_short_12: Q7IYITYOPA5E · pith_short_16: Q7IYITYOPA5EAECY · pith_short_8: Q7IYITYO

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/Q7IYITYOPA5EAECY3XRVCXLCGX \
  | 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: 87d1844f0e783a401058dde3515d6235c012335465065e339895d4bac7d28d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d0879b13d0aeb0b8942f9aeaf9023dbaed5daceaef29d0d95642662676f9ca1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-03-15T23:09:31Z",
    "title_canon_sha256": "8a9737502f24d53088a5038484fec6d164786076028afc0be451916243ae8620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9903362",
    "kind": "arxiv",
    "version": 1
  }
}