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Pith Number

pith:EDTR4MJJ

pith:2018:EDTR4MJJ4QPWYPVRVYV34RGGFY
not attested not anchored not stored refs pending

The abelian gauge-Yukawa $\beta$-functions at large $N_f$

Simone Blasi, Tommi Alanne

arxiv:1808.03252 v3 · 2018-08-09 · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EDTR4MJJ4QPWYPVRVYV34RGGFY}

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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

Receipt and verification
First computed 2026-05-17T23:57:36.188831Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

20e71e3129e41f6c3eb1ae2bbe44c62e03f5582fd10e73cc4f8d85a439778a02

Aliases

arxiv: 1808.03252 · arxiv_version: 1808.03252v3 · doi: 10.48550/arxiv.1808.03252 · pith_short_12: EDTR4MJJ4QPW · pith_short_16: EDTR4MJJ4QPWYPVR · pith_short_8: EDTR4MJJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EDTR4MJJ4QPWYPVRVYV34RGGFY \
  | 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: 20e71e3129e41f6c3eb1ae2bbe44c62e03f5582fd10e73cc4f8d85a439778a02
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0349f40c05f5c35bcdda17bc76a52b717e416924b85422de1c188c368c098e42",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-08-09T17:34:05Z",
    "title_canon_sha256": "dbbb544d4e8a042df0f7229a0392715e367e7859ef508322ada7b97ead1eeda5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03252",
    "kind": "arxiv",
    "version": 3
  }
}