Pith Number

pith:R6DVD7N5

pith:2017:R6DVD7N52MB6R3NWM6EGT5ICIA

not attested not anchored not stored refs pending

Complete renormalization of QCD at five loops

Andreas Maier, Peter Marquard, Thomas Luthe, York Schroder

arxiv:1701.07068 v1 · 2017-01-24 · hep-ph · 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{R6DVD7N52MB6R3NWM6EGT5ICIA}

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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

3 papers in Pith

Renormalisation

Asymptotic Pad\'e Predictions up to Six Loops in QCD and Eight Loops in $\lambda\phi^4$

Heavy-Quark Condensate and Vacuum Energy Anomalous Dimension at Five Loops

Receipt and verification

First computed	2026-05-18T00:47:04.138226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f8751fdbdd303e8edb6678869f50240313ecf7113fc7aa15ad71f6c2e1e7874

Aliases

arxiv: 1701.07068 · arxiv_version: 1701.07068v1 · doi: 10.48550/arxiv.1701.07068 · pith_short_12: R6DVD7N52MB6 · pith_short_16: R6DVD7N52MB6R3NW · pith_short_8: R6DVD7N5

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/R6DVD7N52MB6R3NWM6EGT5ICIA \
  | 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: 8f8751fdbdd303e8edb6678869f50240313ecf7113fc7aa15ad71f6c2e1e7874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11d97d1277fb916fcdc4cb727f3b6f109c8571e4984b227f4a3e00ec7a8f93f8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-01-24T20:07:01Z",
    "title_canon_sha256": "b25569ab5ea24ece5c3021de525f93f22850ec3b421789554e20ce8bff1dccd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07068",
    "kind": "arxiv",
    "version": 1
  }
}