Pith Number

pith:S23E4K3A

pith:2005:S23E4K3AJWQJNQQSW3KW5XT4F2

not attested not anchored not stored refs pending

Three loop MSbar renormalization of QCD in the maximal abelian gauge

J.A. Gracey

arxiv:hep-th/0504051 v1 · 2005-04-06 · 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{S23E4K3AJWQJNQQSW3KW5XT4F2}

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

1 paper in Pith

Perturbative static quark potential in Maximal Abelian gauge

Receipt and verification

First computed	2026-07-04T16:56:08.463124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96b64e2b604da096c212b6d56ede7c2eb3edfad93e5806d6709e49e2a0511b66

Aliases

arxiv: hep-th/0504051 · arxiv_version: hep-th/0504051v1 · doi: 10.48550/arxiv.hep-th/0504051 · pith_short_12: S23E4K3AJWQJ · pith_short_16: S23E4K3AJWQJNQQS · pith_short_8: S23E4K3A

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/S23E4K3AJWQJNQQSW3KW5XT4F2 \
  | 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: 96b64e2b604da096c212b6d56ede7c2eb3edfad93e5806d6709e49e2a0511b66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878d93f360f2cb113406b211d33a64bbe295cfa4fb6c305b4849d4c1a554bdb8",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-04-06T11:17:24Z",
    "title_canon_sha256": "1599e542934c4b5af4654b972c56a19334eaf2b527c9d6eb0723b7ef78c3ac2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0504051",
    "kind": "arxiv",
    "version": 1
  }
}