Pith Number

pith:QEI3X5KX

pith:2025:QEI3X5KXLHD6FF55U4XCFDFCFR

not attested not anchored not stored refs pending

Four-loop renormalization with a cutoff in a sextic model

N. V. Kharuk

arxiv:2504.07688 v1 · 2025-04-10 · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QEI3X5KXLHD6FF55U4XCFDFCFR}

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.

Cited by

2 papers in Pith

$\phi^6$ at $6$ (and some $8$) loops in $3d$

Receipt and verification

First computed	2026-07-05T10:47:13.046711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8111bbf55759c7e297bda72e228ca22c587e0a738909e45cc33f787e0dd29bf9

Aliases

arxiv: 2504.07688 · arxiv_version: 2504.07688v1 · doi: 10.48550/arxiv.2504.07688 · pith_short_12: QEI3X5KXLHD6 · pith_short_16: QEI3X5KXLHD6FF55 · pith_short_8: QEI3X5KX

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/QEI3X5KXLHD6FF55U4XCFDFCFR \
  | 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: 8111bbf55759c7e297bda72e228ca22c587e0a738909e45cc33f787e0dd29bf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b332a38499e8204d72ad6db2b86d1e0062daa269602f13eaab1382aa66d1cc0c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-04-10T12:16:46Z",
    "title_canon_sha256": "9a279b4a34a21c195f8ceddcdf9f5e4d465e04e3a6688dd5e773023889a5fae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.07688",
    "kind": "arxiv",
    "version": 1
  }
}