{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:74Q7DL7BCGPV3MK3TPDGE7MU7J","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":"ae4d35183a3fe854e3201d4455aed430a9b8ed5c18a07bda1629d4cc40c4a7b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-07-09T17:09:30Z","title_canon_sha256":"b180d77815ab15332590ee293bce56efea531a6b74fd1044a00396eb41fce0e5"},"schema_version":"1.0","source":{"id":"0807.1492","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.1492","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"arxiv_version","alias_value":"0807.1492v3","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.1492","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"pith_short_12","alias_value":"74Q7DL7BCGPV","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"74Q7DL7BCGPV3MK3","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"74Q7DL7B","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:e0451f1d094517aa5bfb6e30902f52123fd3176f49e03168e457e91ba90c3fe4","target":"graph","created_at":"2026-05-18T03:24:42Z","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":"We study the noncommutative scalar field theory in the presence of the Wick-Voros product (or normally ordered product), a variant of the more studied Moyal product. We discuss both the classical and the quantum field theory in the quartic potential case, and calculate the Green's functions up to one loop, for the two and four points cases.","authors_text":"Fedele Lizzi, Patrizia Vitale, Salvatore Galluccio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-07-09T17:09:30Z","title":"Noncommutative field theory with the Wick-Voros product"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.1492","kind":"arxiv","version":3},"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":"sha256:45483512ad10defb0fa7e314357da4443fe31042c936daa95fcf0a6e43603fb8","target":"record","created_at":"2026-05-18T03:24:42Z","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":"ae4d35183a3fe854e3201d4455aed430a9b8ed5c18a07bda1629d4cc40c4a7b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-07-09T17:09:30Z","title_canon_sha256":"b180d77815ab15332590ee293bce56efea531a6b74fd1044a00396eb41fce0e5"},"schema_version":"1.0","source":{"id":"0807.1492","kind":"arxiv","version":3}},"canonical_sha256":"ff21f1afe1119f5db15b9bc6627d94fa63921f6787091a7f698cd2443df28e47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff21f1afe1119f5db15b9bc6627d94fa63921f6787091a7f698cd2443df28e47","first_computed_at":"2026-05-18T03:24:42.877065Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:42.877065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YvD9siVrccNMEFT3NGe/sgZw043LNulOakWnsBoKeruk9FmD8uULrTNmSaayAEWyq5/Up6aGtoKG+N1E9k1hCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:42.877699Z","signed_message":"canonical_sha256_bytes"},"source_id":"0807.1492","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45483512ad10defb0fa7e314357da4443fe31042c936daa95fcf0a6e43603fb8","sha256:e0451f1d094517aa5bfb6e30902f52123fd3176f49e03168e457e91ba90c3fe4"],"state_sha256":"2fb1e5cca60beaea7ad5e18b88c66902aa54de9be951ac3fcf4048478bb54a29"}