Pith. sign in
Pith Number

pith:B4XMSLZP

pith:2004:B4XMSLZP2DFCWHOF6M6ZXF64KT
not attested not anchored not stored refs pending

Massless Gauge Bosons other than the Photon

Bogdan A. Dobrescu

arxiv:hep-ph/0411004 v1 · 2004-11-01 · hep-ph · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{B4XMSLZP2DFCWHOF6M6ZXF64KT}

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.

Cited by

5 papers in Pith

Receipt and verification
First computed 2026-07-04T15:26:45.371931Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0f2ec92f2fd0ca2b1dc5f33d9b97dc54e70d52665826c278702ded1b327ea571

Aliases

arxiv: hep-ph/0411004 · arxiv_version: hep-ph/0411004v1 · doi: 10.48550/arxiv.hep-ph/0411004 · pith_short_12: B4XMSLZP2DFC · pith_short_16: B4XMSLZP2DFCWHOF · pith_short_8: B4XMSLZP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/B4XMSLZP2DFCWHOF6M6ZXF64KT \
  | 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: 0f2ec92f2fd0ca2b1dc5f33d9b97dc54e70d52665826c278702ded1b327ea571
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "de65d99251ea7af2b5b32c5a7fc85339397bec797a2270ffd9c964a1aaa4baeb",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-11-01T19:52:44Z",
    "title_canon_sha256": "8c37283956125fb80b3664b10450f7de626f90de09628ccc0aaa8359c7fc09e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0411004",
    "kind": "arxiv",
    "version": 1
  }
}