Pith Number

pith:BVQCAXJV

pith:2016:BVQCAXJV5M3LH3M4UHQBK3RYK6

not attested not anchored not stored refs pending

Five-loop quark mass and field anomalous dimensions for a general gauge group

Andreas Maier, Peter Marquard, Thomas Luthe, York Schroder

arxiv:1612.05512 v2 · 2016-12-16 · 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{BVQCAXJV5M3LH3M4UHQBK3RYK6}

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

2 papers in Pith

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	2026-05-18T00:49:22.936435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d60205d35eb36b3ed9ca1e0156e385795197b93d5b7a68367ec8b791cab0d05

Aliases

arxiv: 1612.05512 · arxiv_version: 1612.05512v2 · doi: 10.48550/arxiv.1612.05512 · pith_short_12: BVQCAXJV5M3L · pith_short_16: BVQCAXJV5M3LH3M4 · pith_short_8: BVQCAXJV

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/BVQCAXJV5M3LH3M4UHQBK3RYK6 \
  | 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: 0d60205d35eb36b3ed9ca1e0156e385795197b93d5b7a68367ec8b791cab0d05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f49cc871b91f6390fe9352dc99ada5dcd33275265c4adc78c66fe4b548f78c86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-12-16T15:41:56Z",
    "title_canon_sha256": "5c6cad3da1740eddf92be6189bed1e831b779e95816e07c566e522a21cec06ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05512",
    "kind": "arxiv",
    "version": 2
  }
}