Pith Number

pith:PVIH6FR5

pith:2012:PVIH6FR5VXJVOJCPKSTZKFUQ6G

not attested not anchored not stored refs pending

Self-dual noncommutative \phi^4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory

Harald Grosse (Vienna), Raimar Wulkenhaar (M\"unster)

arxiv:1205.0465 v4 · 2012-05-02 · math-ph · hep-th · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVIH6FR5VXJVOJCPKSTZKFUQ6G}

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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

Bootstrapping Tensor Integrals

Receipt and verification

First computed	2026-05-18T02:48:53.384125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d507f163dadd357244f54a7951690f1bd8806c925ef39076e8320a31ad2798c

Aliases

arxiv: 1205.0465 · arxiv_version: 1205.0465v4 · doi: 10.48550/arxiv.1205.0465 · pith_short_12: PVIH6FR5VXJV · pith_short_16: PVIH6FR5VXJVOJCP · pith_short_8: PVIH6FR5

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/PVIH6FR5VXJVOJCPKSTZKFUQ6G \
  | 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: 7d507f163dadd357244f54a7951690f1bd8806c925ef39076e8320a31ad2798c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a7bb5aafb2ab672924c30beda15aa5490ac99c5d45be3a6e80d6264c54e77d",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-02T15:35:55Z",
    "title_canon_sha256": "23bf392c552b11c44a164980522381a13a1a452d0b5fe8d8fcaf5e0c39a7f488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0465",
    "kind": "arxiv",
    "version": 4
  }
}