Pith Number

pith:J5X2YF5X

pith:2019:J5X2YF5XQAKOOKD5P4QACHUUJP

not attested not anchored not stored refs pending

Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory

Anders Eller Thomsen, Colin Poole

arxiv:1906.04625 v3 · 2019-06-11 · hep-th · 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{J5X2YF5XQAKOOKD5P4QACHUUJP}

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

4 papers in Pith

Matching $A$ with $F$ in long-range QFTs

Connecting Supersymmetry to Non-Supersymmetric theories: the Gross-Neveu-Yukawa example

Receipt and verification

First computed	2026-07-05T00:09:00.060197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f6fac17b78014e7287d7f20011e944bd1ee81c2e4fd26d2e1e93bdcbb97bf0d

Aliases

arxiv: 1906.04625 · arxiv_version: 1906.04625v3 · doi: 10.48550/arxiv.1906.04625 · pith_short_12: J5X2YF5XQAKO · pith_short_16: J5X2YF5XQAKOOKD5 · pith_short_8: J5X2YF5X

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/J5X2YF5XQAKOOKD5P4QACHUUJP \
  | 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: 4f6fac17b78014e7287d7f20011e944bd1ee81c2e4fd26d2e1e93bdcbb97bf0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede7ef1cb66faa9ada5bd947efeb89c5c4b29f52187bbaadef660c244a1b9000",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-06-11T14:36:49Z",
    "title_canon_sha256": "d3c76c9ef94c3464aa4d6768027e73354b3422f5d74da59317e3ee43148c2764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04625",
    "kind": "arxiv",
    "version": 3
  }
}