{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:K5HPDJTIM4NLWM6JYVL754BORL","short_pith_number":"pith:K5HPDJTI","schema_version":"1.0","canonical_sha256":"574ef1a668671abb33c9c557fef02e8ac4526b9c6e466107fa133d48210238d6","source":{"kind":"arxiv","id":"1602.01479","version":3},"attestation_state":"computed","paper":{"title":"Renormalization on noncommutative torus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D. D'Ascanio, D. V. Vassilevich, P. Pisani","submitted_at":"2016-02-03T21:03:28Z","abstract_excerpt":"We study a self-interacting scalar $\\varphi^4$ theory on the $d$-dimensional noncommutative torus. We determine, for the particular cases $d=2$ and $d=4$, the counterterms required by one-loop renormalization. We discuss higher loops in two dimensions and two-loop contributions to the self-energy in four dimensions. Our analysis points toward the absence of any problems related to the UV/IR mixing and thus to renormalizability of the theory. However, we find another potentially troubling phenomenon which is a wild behavior of the two-point amplitude as a function of the noncommutativity matrix"},"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":"1602.01479","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-03T21:03:28Z","cross_cats_sorted":[],"title_canon_sha256":"583bfa0776376b6f502dd07a1750d7e8d270a78f9f7857f4b2a24af581407b3c","abstract_canon_sha256":"db4e6a3969b95beaee074f62acbcf97b3c42166d52ce5dd01f174c6b2ea4792b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:42.576225Z","signature_b64":"0hmAhjB87Wj9WZWbpYu0G5Km9IPCiCR7NPtIcDbPmvk7B9wuy788uZkrB2DPdnWE4lpf3rdBQ6NpCOUbSMxQBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"574ef1a668671abb33c9c557fef02e8ac4526b9c6e466107fa133d48210238d6","last_reissued_at":"2026-05-18T01:15:42.575401Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:42.575401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalization on noncommutative torus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D. D'Ascanio, D. V. Vassilevich, P. Pisani","submitted_at":"2016-02-03T21:03:28Z","abstract_excerpt":"We study a self-interacting scalar $\\varphi^4$ theory on the $d$-dimensional noncommutative torus. We determine, for the particular cases $d=2$ and $d=4$, the counterterms required by one-loop renormalization. We discuss higher loops in two dimensions and two-loop contributions to the self-energy in four dimensions. Our analysis points toward the absence of any problems related to the UV/IR mixing and thus to renormalizability of the theory. However, we find another potentially troubling phenomenon which is a wild behavior of the two-point amplitude as a function of the noncommutativity matrix"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01479","kind":"arxiv","version":3},"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":"1602.01479","created_at":"2026-05-18T01:15:42.575561+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.01479v3","created_at":"2026-05-18T01:15:42.575561+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01479","created_at":"2026-05-18T01:15:42.575561+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/K5HPDJTIM4NLWM6JYVL754BORL","json":"https://pith.science/pith/K5HPDJTIM4NLWM6JYVL754BORL.json","graph_json":"https://pith.science/api/pith-number/K5HPDJTIM4NLWM6JYVL754BORL/graph.json","events_json":"https://pith.science/api/pith-number/K5HPDJTIM4NLWM6JYVL754BORL/events.json","paper":"https://pith.science/paper/K5HPDJTI"},"agent_actions":{"view_html":"https://pith.science/pith/K5HPDJTIM4NLWM6JYVL754BORL","download_json":"https://pith.science/pith/K5HPDJTIM4NLWM6JYVL754BORL.json","view_paper":"https://pith.science/paper/K5HPDJTI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.01479&json=true","fetch_graph":"https://pith.science/api/pith-number/K5HPDJTIM4NLWM6JYVL754BORL/graph.json","fetch_events":"https://pith.science/api/pith-number/K5HPDJTIM4NLWM6JYVL754BORL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K5HPDJTIM4NLWM6JYVL754BORL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K5HPDJTIM4NLWM6JYVL754BORL/action/storage_attestation","attest_author":"https://pith.science/pith/K5HPDJTIM4NLWM6JYVL754BORL/action/author_attestation","sign_citation":"https://pith.science/pith/K5HPDJTIM4NLWM6JYVL754BORL/action/citation_signature","submit_replication":"https://pith.science/pith/K5HPDJTIM4NLWM6JYVL754BORL/action/replication_record"}},"created_at":"2026-05-18T01:15:42.575561+00:00","updated_at":"2026-05-18T01:15:42.575561+00:00"}