Pith Number

pith:FXKKSLLW

pith:2019:FXKKSLLW7ZSLFOSU5NRNRDUXTR

not attested not anchored not stored refs pending

Three-loop contribution of the Faddeev-Popov ghosts to the $\beta$-function of ${\cal N}=1$ supersymmetric gauge theories and the NSVZ relation

I.E.Shirokov, K.V.Stepanyantz, M.D.Kuzmichev, N.P.Meshcheriakov, S.V.Novgorodtsev

arxiv:1908.10586 v2 · 2019-08-28 · 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{FXKKSLLW7ZSLFOSU5NRNRDUXTR}

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	2026-07-05T00:13:54.752695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dd4a92d76fe64b2ba54eb62d88e979c6bbce1aa197c40c1e929875ae1dd9f17

Aliases

arxiv: 1908.10586 · arxiv_version: 1908.10586v2 · doi: 10.48550/arxiv.1908.10586 · pith_short_12: FXKKSLLW7ZSL · pith_short_16: FXKKSLLW7ZSLFOSU · pith_short_8: FXKKSLLW

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/FXKKSLLW7ZSLFOSU5NRNRDUXTR \
  | 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: 2dd4a92d76fe64b2ba54eb62d88e979c6bbce1aa197c40c1e929875ae1dd9f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a406fdbfe13014279b79136a7cf44db1b5bd73791723086da5796d5c7ec3e38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-08-28T07:47:10Z",
    "title_canon_sha256": "cb757b11a0b24017c5bed25f55a2d057e848337b5d767f8dad3c945f68dcaeca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10586",
    "kind": "arxiv",
    "version": 2
  }
}