Pith. sign in
Pith Number

pith:DHVMASNY

pith:1997:DHVMASNYGXN2XMGFJXSJLU2L3Y
not attested not anchored not stored refs pending

$\beta$-functions in large-$N_f$ supersymmetric gauge theories

C.G. North, D.R.T. Jones, I. Jack, P.M. Ferreira

arxiv:hep-ph/9705328 v1 · 1997-05-15 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DHVMASNYGXN2XMGFJXSJLU2L3Y}

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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 2026-07-04T16:04:57.792461Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

19eac049b835dbabb0c54de495d34bde166bda556067982c5ed9cde5a7bb939b

Aliases

arxiv: hep-ph/9705328 · arxiv_version: hep-ph/9705328v1 · doi: 10.48550/arxiv.hep-ph/9705328 · pith_short_12: DHVMASNYGXN2 · pith_short_16: DHVMASNYGXN2XMGF · pith_short_8: DHVMASNY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DHVMASNYGXN2XMGFJXSJLU2L3Y \
  | 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: 19eac049b835dbabb0c54de495d34bde166bda556067982c5ed9cde5a7bb939b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "14250c02e5d97421ec6d764894534a7a1f2f452f74fee19c946fc7db7406b9e2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-05-15T17:00:26Z",
    "title_canon_sha256": "b7e6c9d63e97c12070db88942d43952a245665900d2020660d3345e38502914c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9705328",
    "kind": "arxiv",
    "version": 1
  }
}