Pith Number

pith:5SJAXC5E

pith:2022:5SJAXC5EC4ZWB6NVBZ3P2BKGDH

not attested not anchored not stored refs pending

Perturbation theory for the $\Phi^4_3$ measure, revisited with Hopf algebras

Nils Berglund, Tom Klose

arxiv:2207.08555 v2 · 2022-07-18 · math-ph · math.MP · math.PR · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SJAXC5EC4ZWB6NVBZ3P2BKGDH}

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

Renormalising Feynman diagrams with multi-indices

Receipt and verification

First computed	2026-07-05T06:57:38.164310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec920b8ba4173360f9b50e76fd054619ff922ea27827aff1e692e4419bb207d5

Aliases

arxiv: 2207.08555 · arxiv_version: 2207.08555v2 · doi: 10.48550/arxiv.2207.08555 · pith_short_12: 5SJAXC5EC4ZW · pith_short_16: 5SJAXC5EC4ZWB6NV · pith_short_8: 5SJAXC5E

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/5SJAXC5EC4ZWB6NVBZ3P2BKGDH \
  | 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: ec920b8ba4173360f9b50e76fd054619ff922ea27827aff1e692e4419bb207d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90756a4af4a8dc6f37988ac220f7f1a4a7ff665186d51250929169133cf35a90",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-07-18T12:22:10Z",
    "title_canon_sha256": "ba2b55d0b3d1a65867e8a5ee9f6a9214647215fe3d37d6b2324090197d8506cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.08555",
    "kind": "arxiv",
    "version": 2
  }
}