Pith Number

pith:C7UFI5US

pith:2016:C7UFI5USDUXRONQGMAHOSZZTUB

not attested not anchored not stored refs pending

On the impact of kinetic mixing in beta functions at two-loop

Florian Lyonnet

arxiv:1608.07271 v2 · 2016-08-25 · 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{C7UFI5USDUXRONQGMAHOSZZTUB}

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

Renormalisation and invariants for two U(1)s

Receipt and verification

First computed	2026-05-18T00:59:57.364675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17e85476921d2f173606600ee96733a050d43d1ee87f2523e6323733531f5a42

Aliases

arxiv: 1608.07271 · arxiv_version: 1608.07271v2 · doi: 10.48550/arxiv.1608.07271 · pith_short_12: C7UFI5USDUXR · pith_short_16: C7UFI5USDUXRONQG · pith_short_8: C7UFI5US

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/C7UFI5USDUXRONQGMAHOSZZTUB \
  | 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: 17e85476921d2f173606600ee96733a050d43d1ee87f2523e6323733531f5a42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9619ee15d9ed95af5e7d76b0651fc8e7c0e88306d85ca68255473a9cd36df328",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-08-25T19:49:12Z",
    "title_canon_sha256": "d43f97a303bb187d6d726332b7e5ca1211d2d82aff4fbc3789ccd8c0fa5578bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07271",
    "kind": "arxiv",
    "version": 2
  }
}