Pith Number

pith:KCUJCEPS

pith:2024:KCUJCEPSFCZSSOB6QT7FQHN3AC

not attested not anchored not stored refs pending

Four loop renormalization of QCD in the Curci-Ferrari gauge

J.A. Gracey

arxiv:2412.20950 v2 · 2024-12-30 · 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{KCUJCEPSFCZSSOB6QT7FQHN3AC}

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	2026-07-05T10:26:12.234502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50a89111f228b329383e84fe581dbb00bc61df43b5055b4c4fa8f5203c853adb

Aliases

arxiv: 2412.20950 · arxiv_version: 2412.20950v2 · doi: 10.48550/arxiv.2412.20950 · pith_short_12: KCUJCEPSFCZS · pith_short_16: KCUJCEPSFCZSSOB6 · pith_short_8: KCUJCEPS

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/KCUJCEPSFCZSSOB6QT7FQHN3AC \
  | 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: 50a89111f228b329383e84fe581dbb00bc61df43b5055b4c4fa8f5203c853adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b790444e80119111f75614c85b35d50bfae4b9c08a2b4274bf2b0d65a9ef037",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-12-30T13:46:26Z",
    "title_canon_sha256": "601524c5bb97acbd0acd35a3db09e8598a40eab9b3b92f1461728342852bb368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20950",
    "kind": "arxiv",
    "version": 2
  }
}