{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AFTJESXFPSF47UDRESUVD3GB6H","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e47be963fba1d30e8050177a5b6fc320f0bb07fc03fced3471d41882abcd5981","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-04T17:42:36Z","title_canon_sha256":"16ddd86c726b60d4bcefa21648fa686941aa5b1defe1d6684f10c9c186cd1758"},"schema_version":"1.0","source":{"id":"1204.1013","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1013","created_at":"2026-05-18T01:57:57Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1013v2","created_at":"2026-05-18T01:57:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1013","created_at":"2026-05-18T01:57:57Z"},{"alias_kind":"pith_short_12","alias_value":"AFTJESXFPSF4","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AFTJESXFPSF47UDR","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AFTJESXF","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:dd893fab37e6e844c54d393f989c12dc584a38f1a32e8f1cf5088605177d26fb","target":"graph","created_at":"2026-05-18T01:57:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The study of the heat-trace expansion in noncommutative field theory has shown the existence of Moyal nonlocal Seeley-DeWitt coefficients which are related to the UV/IR mixing and manifest, in some cases, the non-renormalizability of the theory. We show that these models can be studied in a worldline approach implemented in phase space and arrive to a master formula for the $n$-point contribution to the heat-trace expansion. This formulation could be useful in understanding some open problems in this area, as the heat-trace expansion for the noncommutative torus or the introduction of renormal","authors_text":"O. Corradini, P. A. G. Pisani, R. Bonezzi, S. A. Franchino Vi\\~nas","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-04T17:42:36Z","title":"Worldline approach to noncommutative field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1013","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f997f013a4db03e311347f9d64b2d8ff961f835b580cf628fcf8b225b9043f3e","target":"record","created_at":"2026-05-18T01:57:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e47be963fba1d30e8050177a5b6fc320f0bb07fc03fced3471d41882abcd5981","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-04T17:42:36Z","title_canon_sha256":"16ddd86c726b60d4bcefa21648fa686941aa5b1defe1d6684f10c9c186cd1758"},"schema_version":"1.0","source":{"id":"1204.1013","kind":"arxiv","version":2}},"canonical_sha256":"0166924ae57c8bcfd07124a951ecc1f1c0db885e2f1f00c3bd1a0d15c1a2397b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0166924ae57c8bcfd07124a951ecc1f1c0db885e2f1f00c3bd1a0d15c1a2397b","first_computed_at":"2026-05-18T01:57:57.020135Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:57.020135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gm8X2PFerNtKREx9QnwYOAKQkAAHtTByNa1nVDOCaoM+fOHPj612+iJguHvvMJhITTbFQnNn3bmtSyR3wnxkDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:57.020619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1013","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f997f013a4db03e311347f9d64b2d8ff961f835b580cf628fcf8b225b9043f3e","sha256:dd893fab37e6e844c54d393f989c12dc584a38f1a32e8f1cf5088605177d26fb"],"state_sha256":"caaa788d731f48cf71b344cc6bb65dd9bbc6a217b526291d6eb0a27249070d4e"}