Pith Number

pith:GPMKFNAS

pith:2005:GPMKFNASHSIRVV42GKOD5VBGUW

not attested not anchored not stored refs pending

The effective electroweak mixing angle $\sin^2\theta_{eff}$ with two-loop fermionic contributions

Munich), S. Uccirati (MPI, U. Meier, W. Hollik

arxiv:hep-ph/0507158 v2 · 2005-07-13 · 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{GPMKFNASHSIRVV42GKOD5VBGUW}

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

1 paper in Pith

Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations

Receipt and verification

First computed	2026-07-04T16:55:45.672594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33d8a2b4123c911ad79a329c3ed426a5b028ad732fd68536168b26ef33261fe8

Aliases

arxiv: hep-ph/0507158 · arxiv_version: hep-ph/0507158v2 · doi: 10.48550/arxiv.hep-ph/0507158 · pith_short_12: GPMKFNASHSIR · pith_short_16: GPMKFNASHSIRVV42 · pith_short_8: GPMKFNAS

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/GPMKFNASHSIRVV42GKOD5VBGUW \
  | 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: 33d8a2b4123c911ad79a329c3ed426a5b028ad732fd68536168b26ef33261fe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c2f54c33e8b976c2cd07e7a7602148af533b33d0a32f84b5f0a1436082edf9b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-07-13T15:34:38Z",
    "title_canon_sha256": "b15ccd5d5de682bdaac127994515797751ce3ecd63538591407ea2f82b9d1f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0507158",
    "kind": "arxiv",
    "version": 2
  }
}