Pith Number

pith:CYTMQBAP

pith:2024:CYTMQBAPNQIRDBP62GZ37O5C3C

not attested not anchored not stored refs pending

General Quartic $\beta$-Function at Three Loops

Anders Eller Thomsen, Tom Steudtner

arxiv:2408.05267 v1 · 2024-08-09 · 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{CYTMQBAPNQIRDBP62GZ37O5C3C}

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	2026-07-05T08:54:18.047296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1626c8040f6c111185fed1b3bfbba2d8aa9179ccf7b945c854db1fbd29b80ae8

Aliases

arxiv: 2408.05267 · arxiv_version: 2408.05267v1 · doi: 10.48550/arxiv.2408.05267 · pith_short_12: CYTMQBAPNQIR · pith_short_16: CYTMQBAPNQIRDBP6 · pith_short_8: CYTMQBAP

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/CYTMQBAPNQIRDBP62GZ37O5C3C \
  | 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: 1626c8040f6c111185fed1b3bfbba2d8aa9179ccf7b945c854db1fbd29b80ae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4959e96bc066d467f6ad4f45a7ec0911e89134917876b31ca712159b558e2ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-08-09T18:00:01Z",
    "title_canon_sha256": "32f85af76e17bb15cebab7f5bcbac2c83cde290086914a3b191263c85e4906b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.05267",
    "kind": "arxiv",
    "version": 1
  }
}