{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:FEPP6YQC7TKILRKRX4NGD4WAP4","short_pith_number":"pith:FEPP6YQC","schema_version":"1.0","canonical_sha256":"291eff6202fcd485c551bf1a61f2c07f274d3d663e4f594bab7c0efd5d3194dc","source":{"kind":"arxiv","id":"1005.0541","version":2},"attestation_state":"computed","paper":{"title":"Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jochen Zahn","submitted_at":"2010-05-04T14:32:11Z","abstract_excerpt":"Quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential is discussed in two ways: In terms of a continuous set of generalised eigenfunctions of the wave operator, and directly in position space. In both settings, we find a new type of divergence in planar graphs. It is present at and above the self-dual point. This new kind of divergence might make the construction of a Minkowski space version of the Grosse-Wulkenhaar model impossible."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1005.0541","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-04T14:32:11Z","cross_cats_sorted":[],"title_canon_sha256":"4c49574a6b60076e36e555473353a79181fc1ec22e619f3e583c7cdc019fe4df","abstract_canon_sha256":"2aee582ebe452d95cd715f9def10d643ca22e64026538ec397c5e0c970a18b94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:11.719163Z","signature_b64":"LTSSTSstu4RchAD4d6i+/EQVXymuz1pYcfdIyymzdY9HtNqbqB008oyx3iO8dAqZN9LlAbhd0d5JynB27YPMBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"291eff6202fcd485c551bf1a61f2c07f274d3d663e4f594bab7c0efd5d3194dc","last_reissued_at":"2026-05-18T04:23:11.718747Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:11.718747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jochen Zahn","submitted_at":"2010-05-04T14:32:11Z","abstract_excerpt":"Quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential is discussed in two ways: In terms of a continuous set of generalised eigenfunctions of the wave operator, and directly in position space. In both settings, we find a new type of divergence in planar graphs. It is present at and above the self-dual point. This new kind of divergence might make the construction of a Minkowski space version of the Grosse-Wulkenhaar model impossible."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.0541","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1005.0541","created_at":"2026-05-18T04:23:11.718807+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.0541v2","created_at":"2026-05-18T04:23:11.718807+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.0541","created_at":"2026-05-18T04:23:11.718807+00:00"},{"alias_kind":"pith_short_12","alias_value":"FEPP6YQC7TKI","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"FEPP6YQC7TKILRKR","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"FEPP6YQC","created_at":"2026-05-18T12:26:07.630475+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FEPP6YQC7TKILRKRX4NGD4WAP4","json":"https://pith.science/pith/FEPP6YQC7TKILRKRX4NGD4WAP4.json","graph_json":"https://pith.science/api/pith-number/FEPP6YQC7TKILRKRX4NGD4WAP4/graph.json","events_json":"https://pith.science/api/pith-number/FEPP6YQC7TKILRKRX4NGD4WAP4/events.json","paper":"https://pith.science/paper/FEPP6YQC"},"agent_actions":{"view_html":"https://pith.science/pith/FEPP6YQC7TKILRKRX4NGD4WAP4","download_json":"https://pith.science/pith/FEPP6YQC7TKILRKRX4NGD4WAP4.json","view_paper":"https://pith.science/paper/FEPP6YQC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.0541&json=true","fetch_graph":"https://pith.science/api/pith-number/FEPP6YQC7TKILRKRX4NGD4WAP4/graph.json","fetch_events":"https://pith.science/api/pith-number/FEPP6YQC7TKILRKRX4NGD4WAP4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FEPP6YQC7TKILRKRX4NGD4WAP4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FEPP6YQC7TKILRKRX4NGD4WAP4/action/storage_attestation","attest_author":"https://pith.science/pith/FEPP6YQC7TKILRKRX4NGD4WAP4/action/author_attestation","sign_citation":"https://pith.science/pith/FEPP6YQC7TKILRKRX4NGD4WAP4/action/citation_signature","submit_replication":"https://pith.science/pith/FEPP6YQC7TKILRKRX4NGD4WAP4/action/replication_record"}},"created_at":"2026-05-18T04:23:11.718807+00:00","updated_at":"2026-05-18T04:23:11.718807+00:00"}