Pith Number

pith:C7KQLF7K

pith:2012:C7KQLF7KHPWPEL54XTZ2RIGECN

not attested not anchored not stored refs pending

Vacuum stability in the SM and the three-loop \beta-function for the Higgs self-interaction

M. F. Zoller

arxiv:1209.5609 v5 · 2012-09-25 · 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{C7KQLF7KHPWPEL54XTZ2RIGECN}

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	2026-05-18T00:39:48.509427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17d50597ea3becf22fbcbcf3a8a0c4134f092e7d43a53db87484007a5974b616

Aliases

arxiv: 1209.5609 · arxiv_version: 1209.5609v5 · doi: 10.48550/arxiv.1209.5609 · pith_short_12: C7KQLF7KHPWP · pith_short_16: C7KQLF7KHPWPEL54 · pith_short_8: C7KQLF7K

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/C7KQLF7KHPWPEL54XTZ2RIGECN \
  | 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: 17d50597ea3becf22fbcbcf3a8a0c4134f092e7d43a53db87484007a5974b616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "939771c1b944c86aa90a9edb4b3c5e49006b9a95b2f08632069c09662ad5a157",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-09-25T13:44:41Z",
    "title_canon_sha256": "a5c0bc437a43d88ddd64163b13ce0885ce20e72c188f718fa6870bf021f43b78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5609",
    "kind": "arxiv",
    "version": 5
  }
}