Pith Number

pith:BFX65VZR

pith:2020:BFX65VZRVUBU5L22MZDOECKOFV

not attested not anchored not stored refs pending

General scalar renormalisation group equations at three-loop order

Tom Steudtner

arxiv:2007.06591 v4 · 2020-07-13 · 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{BFX65VZRVUBU5L22MZDOECKOFV}

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	2026-07-05T02:16:13.446559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

096feed731ad034eaf5a6646e2094e2d5c2cd09c64d5b9d1956af83da934de76

Aliases

arxiv: 2007.06591 · arxiv_version: 2007.06591v4 · doi: 10.48550/arxiv.2007.06591 · pith_short_12: BFX65VZRVUBU · pith_short_16: BFX65VZRVUBU5L22 · pith_short_8: BFX65VZR

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/BFX65VZRVUBU5L22MZDOECKOFV \
  | 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: 096feed731ad034eaf5a6646e2094e2d5c2cd09c64d5b9d1956af83da934de76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4cd904ea185e2a22c8dbbb3f27ce960eecadb209d70cb3cb9d69937a8626d62",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-07-13T18:00:25Z",
    "title_canon_sha256": "a9429e9e8b33907e30ff47e8c92987b754b28f7a7f9d6846858307c56b8bd696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.06591",
    "kind": "arxiv",
    "version": 4
  }
}