Pith Number

pith:7YGNOZQR

pith:2010:7YGNOZQR2LUPTMIXOWLHBUTJ3D

not attested not anchored not stored refs pending

UV and IR Zeros of Gauge Theories at The Four Loop Order and Beyond

Claudio Pica, Francesco Sannino (CP3-Origins)

arxiv:1011.5917 v2 · 2010-11-26 · hep-ph · hep-lat · 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{7YGNOZQR2LUPTMIXOWLHBUTJ3D}

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	2026-05-18T00:35:05.937135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe0cd76611d2e8f9b117759670d269d8ee0b46622d4a4019734c6048ace2ed18

Aliases

arxiv: 1011.5917 · arxiv_version: 1011.5917v2 · doi: 10.48550/arxiv.1011.5917 · pith_short_12: 7YGNOZQR2LUP · pith_short_16: 7YGNOZQR2LUPTMIX · pith_short_8: 7YGNOZQR

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/7YGNOZQR2LUPTMIXOWLHBUTJ3D \
  | 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: fe0cd76611d2e8f9b117759670d269d8ee0b46622d4a4019734c6048ace2ed18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b327f254f20bbd7655358583300a230341556c246907782e16c49e2884bf28c",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-11-26T21:34:22Z",
    "title_canon_sha256": "86d426229d71d6300eafad66499bc9e757f310690db29b5ddf0e532b4e634219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5917",
    "kind": "arxiv",
    "version": 2
  }
}