Pith Number

pith:6TBGWHRQ

pith:2025:6TBGWHRQJOQDGNZA43COCM7MNQ

not attested not anchored not stored refs pending

General expression for three-loop $\beta$-functions of $\cal N =$ 1 supersymmetric theories with multiple gauge couplings regularized by higher covariant derivatives

Olesya Haneychuk

arxiv:2501.05174 v1 · 2025-01-09 · 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{6TBGWHRQJOQDGNZA43COCM7MNQ}

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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

Three-Loop Gauge Beta Functions in Supersymmetric Theories with Exponential Higher Covariant Derivative Regularization

Receipt and verification

First computed	2026-07-05T09:59:05.572073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c26b1e304ba0333720e6c4e133ec6c19b0a3aeed7b73d771b46e06db2d0a11

Aliases

arxiv: 2501.05174 · arxiv_version: 2501.05174v1 · doi: 10.48550/arxiv.2501.05174 · pith_short_12: 6TBGWHRQJOQD · pith_short_16: 6TBGWHRQJOQDGNZA · pith_short_8: 6TBGWHRQ

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/6TBGWHRQJOQDGNZA43COCM7MNQ \
  | 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: f4c26b1e304ba0333720e6c4e133ec6c19b0a3aeed7b73d771b46e06db2d0a11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3274564db7c55b8b41e1ab77d17b70ff3c81c4b163b368c2b7e111b427a81d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-01-09T11:47:54Z",
    "title_canon_sha256": "cd77e292dfb4146c5367eae8bcbaa4e2a6122d41e99afeb9a6df90bf56f3ccc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.05174",
    "kind": "arxiv",
    "version": 1
  }
}