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Pith Number

pith:UQ46PEDG

pith:2012:UQ46PEDGAHHDGWTTQ2HJZWHZEK
not attested not anchored not stored refs pending

Gauge coupling beta functions in the Standard Model

Jens Salomon, Luminita Mihaila, Matthias Steinhauser

arxiv:1209.5497 v1 · 2012-09-25 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UQ46PEDGAHHDGWTTQ2HJZWHZEK}

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 2026-05-18T03:44:48.332852Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a439e7906601ce335a73868e9cd8f922be47e64c2fe7f0b016c5312b7ff7e599

Aliases

arxiv: 1209.5497 · arxiv_version: 1209.5497v1 · doi: 10.48550/arxiv.1209.5497 · pith_short_12: UQ46PEDGAHHD · pith_short_16: UQ46PEDGAHHDGWTT · pith_short_8: UQ46PEDG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UQ46PEDGAHHDGWTTQ2HJZWHZEK \
  | 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: a439e7906601ce335a73868e9cd8f922be47e64c2fe7f0b016c5312b7ff7e599
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9e87f1035acbcc8534a9141f3f7782d63ca7f0a73c410d7ee7df8fe4740cf9ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-09-25T05:08:08Z",
    "title_canon_sha256": "137e6b0d927bf330c2331d989fd8a6b9857116c166f0324740cc2e19923704df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5497",
    "kind": "arxiv",
    "version": 1
  }
}