{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:QWBORL6PD46OUMJ2IRY6WM7WOV","short_pith_number":"pith:QWBORL6P","schema_version":"1.0","canonical_sha256":"8582e8afcf1f3cea313a4471eb33f6755047768c7f2cc49e74439eefed043370","source":{"kind":"arxiv","id":"1507.08086","version":1},"attestation_state":"computed","paper":{"title":"Noncommutative gauge theories on $\\mathbb{R}^3_\\lambda$: Perturbatively finite models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Antoine G\\'er\\'e, Jean-Christophe Wallet, Tajron Juri\\'c","submitted_at":"2015-07-29T10:00:37Z","abstract_excerpt":"We show that natural noncommutative gauge theory models on $\\mathbb{R}^3_\\lambda$ can accommodate gauge invariant harmonic terms, thanks to the existence of a relationship between the center of $\\mathbb{R}^3_\\lambda$ and the components of the gauge invariant 1-form canonical connection. This latter object shows up naturally within the present noncommutative differential calculus. Restricting ourselves to positive actions with covariant coordinates as field variables, a suitable gauge-fixing leads to a family of matrix models with quartic interactions and kinetic operators with compact resolven"},"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":"1507.08086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-29T10:00:37Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"fddc34e90421d5c78b952796066d663ebe3c5521988d34532f6e33b24ff8e1b7","abstract_canon_sha256":"9294205d9e7a1c5c30fca325d8480dc66d19526801f98398efa71d5f16fe689b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:06.640768Z","signature_b64":"jprAY4Ic7w9JZMlyLKYew7yYM71rcF+iZ1MWH+MJiK6VCSJnJj2fm8fk5u+PA/uUo0GftWuUclelY9AEcQjhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8582e8afcf1f3cea313a4471eb33f6755047768c7f2cc49e74439eefed043370","last_reissued_at":"2026-05-18T01:24:06.640169Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:06.640169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noncommutative gauge theories on $\\mathbb{R}^3_\\lambda$: Perturbatively finite models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Antoine G\\'er\\'e, Jean-Christophe Wallet, Tajron Juri\\'c","submitted_at":"2015-07-29T10:00:37Z","abstract_excerpt":"We show that natural noncommutative gauge theory models on $\\mathbb{R}^3_\\lambda$ can accommodate gauge invariant harmonic terms, thanks to the existence of a relationship between the center of $\\mathbb{R}^3_\\lambda$ and the components of the gauge invariant 1-form canonical connection. This latter object shows up naturally within the present noncommutative differential calculus. Restricting ourselves to positive actions with covariant coordinates as field variables, a suitable gauge-fixing leads to a family of matrix models with quartic interactions and kinetic operators with compact resolven"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08086","kind":"arxiv","version":1},"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":"1507.08086","created_at":"2026-05-18T01:24:06.640256+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.08086v1","created_at":"2026-05-18T01:24:06.640256+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08086","created_at":"2026-05-18T01:24:06.640256+00:00"},{"alias_kind":"pith_short_12","alias_value":"QWBORL6PD46O","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"QWBORL6PD46OUMJ2","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"QWBORL6P","created_at":"2026-05-18T12:29:39.896362+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/QWBORL6PD46OUMJ2IRY6WM7WOV","json":"https://pith.science/pith/QWBORL6PD46OUMJ2IRY6WM7WOV.json","graph_json":"https://pith.science/api/pith-number/QWBORL6PD46OUMJ2IRY6WM7WOV/graph.json","events_json":"https://pith.science/api/pith-number/QWBORL6PD46OUMJ2IRY6WM7WOV/events.json","paper":"https://pith.science/paper/QWBORL6P"},"agent_actions":{"view_html":"https://pith.science/pith/QWBORL6PD46OUMJ2IRY6WM7WOV","download_json":"https://pith.science/pith/QWBORL6PD46OUMJ2IRY6WM7WOV.json","view_paper":"https://pith.science/paper/QWBORL6P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.08086&json=true","fetch_graph":"https://pith.science/api/pith-number/QWBORL6PD46OUMJ2IRY6WM7WOV/graph.json","fetch_events":"https://pith.science/api/pith-number/QWBORL6PD46OUMJ2IRY6WM7WOV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QWBORL6PD46OUMJ2IRY6WM7WOV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QWBORL6PD46OUMJ2IRY6WM7WOV/action/storage_attestation","attest_author":"https://pith.science/pith/QWBORL6PD46OUMJ2IRY6WM7WOV/action/author_attestation","sign_citation":"https://pith.science/pith/QWBORL6PD46OUMJ2IRY6WM7WOV/action/citation_signature","submit_replication":"https://pith.science/pith/QWBORL6PD46OUMJ2IRY6WM7WOV/action/replication_record"}},"created_at":"2026-05-18T01:24:06.640256+00:00","updated_at":"2026-05-18T01:24:06.640256+00:00"}