Pith Number

pith:GUR3IHM5

pith:2018:GUR3IHM5XRIE6TLY25YJLWICAX

not attested not anchored not stored refs pending

Lambert-W solves the noncommutative $\Phi^4$-model

Erik Panzer (Oxford), Raimar Wulkenhaar (M\"unster)

arxiv:1807.02945 v2 · 2018-07-09 · math-ph · hep-th · math.CV · 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{GUR3IHM5XRIE6TLY25YJLWICAX}

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	2026-07-05T00:30:51.611300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3523b41d9dbc504f4d78d77095d90205dbe362b570cac934017b607a2d02a0ac

Aliases

arxiv: 1807.02945 · arxiv_version: 1807.02945v2 · doi: 10.48550/arxiv.1807.02945 · pith_short_12: GUR3IHM5XRIE · pith_short_16: GUR3IHM5XRIE6TLY · pith_short_8: GUR3IHM5

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/GUR3IHM5XRIE6TLY25YJLWICAX \
  | 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: 3523b41d9dbc504f4d78d77095d90205dbe362b570cac934017b607a2d02a0ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ff1a908b14f6b40318f10da03f593255d6782c09b6be4868505af715a76b724",
    "cross_cats_sorted": [
      "hep-th",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-07-09T05:12:06Z",
    "title_canon_sha256": "78260256a26a26fe9b1aa6c24b582bc57a41dbdbd04964be7ef5c108c0cff992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02945",
    "kind": "arxiv",
    "version": 2
  }
}