Pith Number

pith:UMIT27VL

pith:1995:UMIT27VL7N5YMNPIU5YS4LJSSC

not attested not anchored not stored refs pending

Five-loop renormalization group functions of ${O}(n)$-symmetric $\phi^4$-theory and $\ep$-expansions of critical exponents up to $\ep^5$

H. Kleinert, J. Neu, K.G. Chetyrkin, Moscow), S.A. Larin (Institute for Nuclear Research, V. Schulte-Frohlinde (Freie Universit"at Berlin)

arxiv:hep-th/9503230 v1 · 1995-04-01 · 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{UMIT27VL7N5YMNPIU5YS4LJSSC}

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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

2 papers in Pith

Asymptotic Pad\'e Predictions up to Six Loops in QCD and Eight Loops in $\lambda\phi^4$

The OPE Approach to Renormalization: Operator Mixing

Receipt and verification

First computed	2026-07-04T15:59:21.270413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3113d7eabfb7b8635e8a7712e2d32908fe6f3b7393a6577dd8a61d7cdc7b036

Aliases

arxiv: hep-th/9503230 · arxiv_version: hep-th/9503230v1 · doi: 10.48550/arxiv.hep-th/9503230 · pith_short_12: UMIT27VL7N5Y · pith_short_16: UMIT27VL7N5YMNPI · pith_short_8: UMIT27VL

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/UMIT27VL7N5YMNPIU5YS4LJSSC \
  | 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: a3113d7eabfb7b8635e8a7712e2d32908fe6f3b7393a6577dd8a61d7cdc7b036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a04e89461cc83e394d2b27de0796e90896e6532413da44979f0bd373e0b6a3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1995-04-01T10:46:26Z",
    "title_canon_sha256": "b7cde5c706aa0dd7373313fc6c49d6cf0cfb357c0dae4858c01e35ca18dc4f39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9503230",
    "kind": "arxiv",
    "version": 1
  }
}