Pith Number

pith:F64F6ATW

pith:2022:F64F6ATWPVWRWQ74QXNRSIX2TA

not attested not anchored not stored refs pending

Quantum scale invariance in gauge theories and applications to muon production

Dominik St\"ockinger, Dumitru M. Ghilencea, Matthias Wei{\ss}wange

arxiv:2208.01293 v2 · 2022-08-02 · hep-ph · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F64F6ATWPVWRWQ74QXNRSIX2TA}

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	2026-07-05T06:01:58.364719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb85f02767d6d1b43fc85db1922fa980f180d0a2bba2354db0879ce459be2b6

Aliases

arxiv: 2208.01293 · arxiv_version: 2208.01293v2 · doi: 10.48550/arxiv.2208.01293 · pith_short_12: F64F6ATWPVWR · pith_short_16: F64F6ATWPVWRWQ74 · pith_short_8: F64F6ATW

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/F64F6ATWPVWRWQ74QXNRSIX2TA \
  | 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: 2fb85f02767d6d1b43fc85db1922fa980f180d0a2bba2354db0879ce459be2b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f0408efc28c2d1b8d061a35ea5d1b4add5e4dfb3fbc8847e7e3207fb761c9a9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-08-02T07:37:54Z",
    "title_canon_sha256": "7903dd7f1f9e7623cb69e503569b73264c9dcae2504e2a2b6f28347bce8ee9b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.01293",
    "kind": "arxiv",
    "version": 2
  }
}