pith. sign in
Pith Number

pith:WJKPFY26

pith:2012:WJKPFY26MBPULMKSXRXLNX2ICC
not attested not anchored not stored refs pending

Renormalization of the cyclic Wilson loop

Antonio Vairo, Jacopo Ghiglieri, Matthias Berwein, Nora Brambilla

arxiv:1212.4413 v2 · 2012-12-18 · hep-th · hep-lat · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WJKPFY26MBPULMKSXRXLNX2ICC}

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 2026-05-18T03:30:56.083505Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b254f2e35e605f45b152bc6eb6df48108e18aa97dc03c8a6000f138036df39f9

Aliases

arxiv: 1212.4413 · arxiv_version: 1212.4413v2 · doi: 10.48550/arxiv.1212.4413 · pith_short_12: WJKPFY26MBPU · pith_short_16: WJKPFY26MBPULMKS · pith_short_8: WJKPFY26
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WJKPFY26MBPULMKSXRXLNX2ICC \
  | 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: b254f2e35e605f45b152bc6eb6df48108e18aa97dc03c8a6000f138036df39f9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "597f2bf8b9610987b27c38c5e3900f8eb4d60a42a24ade9c5e22b5d8bfde9a28",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-18T16:29:40Z",
    "title_canon_sha256": "29366bfd64baa3b1aaaf9b885f9a7f71f8b00a4aa1f7082f72bd4cd87c3ca337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4413",
    "kind": "arxiv",
    "version": 2
  }
}