Pith Number

pith:VJHNUMB4

pith:2024:VJHNUMB4RFDLI4AHMAOQXPXCPQ

not attested not anchored not stored refs pending

Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization

A. V. Ivanov

arxiv:2402.14549 v1 · 2024-02-22 · 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{VJHNUMB4RFDLI4AHMAOQXPXCPQ}

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

1 paper in Pith

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin

Receipt and verification

First computed	2026-07-05T09:26:24.413196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa4eda303c8946b47007601d0bbee27c3b6c25ea36271cc8521867eba451a8bd

Aliases

arxiv: 2402.14549 · arxiv_version: 2402.14549v1 · doi: 10.48550/arxiv.2402.14549 · pith_short_12: VJHNUMB4RFDL · pith_short_16: VJHNUMB4RFDLI4AH · pith_short_8: VJHNUMB4

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/VJHNUMB4RFDLI4AHMAOQXPXCPQ \
  | 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: aa4eda303c8946b47007601d0bbee27c3b6c25ea36271cc8521867eba451a8bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9771e814cb3c0c4cc73b445e4ede1103912e933f5c3fcfb194d760cfd490c0a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-02-22T13:39:02Z",
    "title_canon_sha256": "578f9279b7c7f67d7c21e3bb429934cdefabc67bccdbbb1134f6d0f6c44a6583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.14549",
    "kind": "arxiv",
    "version": 1
  }
}