Pith Number

pith:UX7E4U6L

pith:2000:UX7E4U6LA6GY635BGNML26EPBR

not attested not anchored not stored refs pending

BRST Invariance and Renormalisability of the SU(2)$\times$U(1) Electroweak Theory with Massive W Z Bosons

Xianhui Li, Yushu Zhong, Ze-sen Yang, Zhinig Zhou

arxiv:hep-th/0003149 v1 · 2000-03-17 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UX7E4U6LA6GY635BGNML26EPBR}

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	2026-05-18T01:06:00.378465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5fe4e53cb078d8f6fa13358bd788f0c53c14c05dde079736167b9f7e6803087

Aliases

arxiv: hep-th/0003149 · arxiv_version: hep-th/0003149v1 · doi: 10.48550/arxiv.hep-th/0003149 · pith_short_12: UX7E4U6LA6GY · pith_short_16: UX7E4U6LA6GY635B · pith_short_8: UX7E4U6L

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/UX7E4U6LA6GY635BGNML26EPBR \
  | 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: a5fe4e53cb078d8f6fa13358bd788f0c53c14c05dde079736167b9f7e6803087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59731f3fdf34f30a79a328091b0ed01e3b78a1d780efed041ac01740bbf0cb28",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-03-17T08:18:17Z",
    "title_canon_sha256": "7a81b8efc3d89fa6e31cd8dc5b520a6b3a419384ef2e3644610cce766301e075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0003149",
    "kind": "arxiv",
    "version": 1
  }
}