Pith Number

pith:5NMDGPJK

pith:2006:5NMDGPJKD2Y72SLNUAJMVJKXLO

not attested not anchored not stored refs pending

Vanishing of Beta Function of Non Commutative $\Phi^4_4$ Theory to all orders

J. Magnen, M. Disertori, R. Gurau, V. Rivasseau

arxiv:hep-th/0612251 v1 · 2006-12-22 · 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{5NMDGPJKD2Y72SLNUAJMVJKXLO}

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

Solution of the self-dual $\Phi^4$ QFT-model on four-dimensional Moyal space

Receipt and verification

First computed	2026-07-04T15:25:20.243227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb58333d2a1eb1fd496da012caa5575b89ef02df85dd7053a612c0c9e0d126eb

Aliases

arxiv: hep-th/0612251 · arxiv_version: hep-th/0612251v1 · doi: 10.48550/arxiv.hep-th/0612251 · pith_short_12: 5NMDGPJKD2Y7 · pith_short_16: 5NMDGPJKD2Y72SLN · pith_short_8: 5NMDGPJK

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/5NMDGPJKD2Y72SLNUAJMVJKXLO \
  | 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: eb58333d2a1eb1fd496da012caa5575b89ef02df85dd7053a612c0c9e0d126eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2fb8cd8b411258bb9f3ae4f21a49c15dbdbb44d1629193e102dddb02671c2cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-22T17:15:27Z",
    "title_canon_sha256": "665bfe4001f574ca2311f4e1b013319cbc29b7cc03427c05691544bea7aed806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612251",
    "kind": "arxiv",
    "version": 1
  }
}