Pith Number

pith:O2VRUYWP

pith:2011:O2VRUYWPUGVO7AWONB5BDU6YRR

not attested not anchored not stored refs pending

Constructive Renormalization for $\Phi^{4}_2$ Theory with Loop Vertex Expansion

Vincent Rivasseau, Zhituo Wang

arxiv:1104.3443 v3 · 2011-04-18 · math-ph · hep-th · 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{O2VRUYWPUGVO7AWONB5BDU6YRR}

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.

Receipt and verification

First computed	2026-05-18T02:48:43.879093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ab1a62cfa1aaef82ce687a11d3d88c42798415abdb643df8dd5f976da7726c

Aliases

arxiv: 1104.3443 · arxiv_version: 1104.3443v3 · doi: 10.48550/arxiv.1104.3443 · pith_short_12: O2VRUYWPUGVO · pith_short_16: O2VRUYWPUGVO7AWO · pith_short_8: O2VRUYWP

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/O2VRUYWPUGVO7AWONB5BDU6YRR \
  | 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: 76ab1a62cfa1aaef82ce687a11d3d88c42798415abdb643df8dd5f976da7726c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a34516aede8d959069a77b48ce57edf17965c2f5194df9c8354499f763cfaedf",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-18T12:05:58Z",
    "title_canon_sha256": "0f8dbdab1e72ab7c2bdf4d778872743dcb34da8edbad3c0e56955a6cecbd601b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3443",
    "kind": "arxiv",
    "version": 3
  }
}