Pith Number

pith:P4QQOGPJ

pith:1993:P4QQOGPJOF3K53L7I7ZZMVOUPD

not attested not anchored not stored refs pending

The String Unufication of Gauge Cuoplings and Gauge Kinetic Mixings

Chuichiro Hattori, Daizo Mochinaga, Masahisa Matsuda, Takeo Matsuoka

arxiv:hep-ph/9307305 v1 · 1993-07-20 · 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{P4QQOGPJOF3K53L7I7ZZMVOUPD}

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	2026-05-18T00:51:38.160685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f210719e97176aeed7f47f39655d478ea4879c421dd7dbccd3ffe1a56a7e5d6

Aliases

arxiv: hep-ph/9307305 · arxiv_version: hep-ph/9307305v1 · doi: 10.48550/arxiv.hep-ph/9307305 · pith_short_12: P4QQOGPJOF3K · pith_short_16: P4QQOGPJOF3K53L7 · pith_short_8: P4QQOGPJ

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/P4QQOGPJOF3K53L7I7ZZMVOUPD \
  | 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: 7f210719e97176aeed7f47f39655d478ea4879c421dd7dbccd3ffe1a56a7e5d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8185a4130a77b638cfef6b3914a9fc26f8bbd545a85ee6a7c2efbbaa429bd308",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1993-07-20T06:28:46Z",
    "title_canon_sha256": "52d0fdc27c57588f7ec3ef256c25b553caa17eeaa704c2272ad60173953d12ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9307305",
    "kind": "arxiv",
    "version": 1
  }
}