Pith. sign in
Pith Number

pith:UFM24BLL

pith:2019:UFM24BLLEFNQOIVX5Z6XVTQA5T
not attested not anchored not stored refs pending

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

Alexander Hock, Harald Grosse, Raimar Wulkenhaar

arxiv:1908.04543 v1 · 2019-08-13 · math-ph · hep-th · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UFM24BLLEFNQOIVX5Z6XVTQA5T}

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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.
Receipt and verification
First computed 2026-07-05T01:03:19.941142Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a159ae056b215b0722b7ee7d7ace00ecc0c30af7b61665e32ba0de63712b47d1

Aliases

arxiv: 1908.04543 · arxiv_version: 1908.04543v1 · doi: 10.48550/arxiv.1908.04543 · pith_short_12: UFM24BLLEFNQ · pith_short_16: UFM24BLLEFNQOIVX · pith_short_8: UFM24BLL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UFM24BLLEFNQOIVX5Z6XVTQA5T \
  | 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: a159ae056b215b0722b7ee7d7ace00ecc0c30af7b61665e32ba0de63712b47d1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fc106ec0ac8628c0aee1c3179609e06498e0c6524b87e9364965713d41e5fb80",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-13T08:54:38Z",
    "title_canon_sha256": "eebf1aca237a9298bf9a52722b448d0a69a1415f6e387b6e47e1149cf5878fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04543",
    "kind": "arxiv",
    "version": 1
  }
}