pith. sign in
Pith Number

pith:APACFGCY

pith:2015:APACFGCYKOXLJ6V2U6SDUZ5KA2
not attested not anchored not stored refs pending

Renormalization-Group Evolution and Nonperturbative Behavior of Chiral Gauge Theories with Fermions in Higher-Dimensional Representations

Robert Shrock, Yan-Liang Shi

arxiv:1509.08501 v1 · 2015-09-28 · hep-th · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{APACFGCYKOXLJ6V2U6SDUZ5KA2}

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

Receipt and verification
First computed 2026-05-18T01:24:38.133894Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

03c022985853aeb4fabaa7a43a67aa06b818d0c023d1718441ec1e85f8a45407

Aliases

arxiv: 1509.08501 · arxiv_version: 1509.08501v1 · doi: 10.48550/arxiv.1509.08501 · pith_short_12: APACFGCYKOXL · pith_short_16: APACFGCYKOXLJ6V2 · pith_short_8: APACFGCY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/APACFGCYKOXLJ6V2U6SDUZ5KA2 \
  | 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: 03c022985853aeb4fabaa7a43a67aa06b818d0c023d1718441ec1e85f8a45407
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e0f1325b55beeea26cb35ab38e300540257f0c33e996769d847c735dfd0dc5a5",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-09-28T20:48:32Z",
    "title_canon_sha256": "93569a4fed6a1702df91822bf929225e6bfedc852478e3db15c357d5811c40cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08501",
    "kind": "arxiv",
    "version": 1
  }
}