{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:C3JBQQKSUYIKDPJB6C4AR3SOSD","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":"8bb0bfdba24676109324b06502552f43c64f412c0c2d2c1b9e8d629ca3ec8483","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-03T16:14:12Z","title_canon_sha256":"b120e4a5c1efabd9553c2f06e1cbd0bd1ebb18154acb5f8dbc51e336c3c9cd65"},"schema_version":"1.0","source":{"id":"1812.00860","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.00860","created_at":"2026-05-17T23:53:04Z"},{"alias_kind":"arxiv_version","alias_value":"1812.00860v3","created_at":"2026-05-17T23:53:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.00860","created_at":"2026-05-17T23:53:04Z"},{"alias_kind":"pith_short_12","alias_value":"C3JBQQKSUYIK","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"C3JBQQKSUYIKDPJB","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"C3JBQQKS","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:8bf23f5aba72464a7ddf1f52d8a436598bb98877048478653bc5d23f772246bc","target":"graph","created_at":"2026-05-17T23:53:04Z","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":"Nonlocal quantum theory of one-component scalar field in $D$-dimensional Euclidean spacetime is studied in representations of $\\mathcal{S}$-matrix theory for both polynomial and nonpolynomial interaction Lagrangians. The theory is formulated on coupling constant $g$ in the form of an infrared smooth function of argument $x$ for space without boundary. Nonlocality is given by evolution of Gaussian propagator for the local free theory with ultraviolet form factors depending on ultraviolet length parameter $l$. By representation of the $\\mathcal{S}$-matrix in terms of abstract functional integral","authors_text":"I.V. Chebotarev, M. Bernard, S.L. Ogarkov, V.A. Guskov","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-03T16:14:12Z","title":"$\\mathcal{S}$-Matrix of Nonlocal Scalar Quantum Field Theory in the Representation of Basis Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.00860","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:a70f4909d6e9f9ba568cd0281e6bd371bb67bf88270d395742c671d89c236846","target":"record","created_at":"2026-05-17T23:53:04Z","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":"8bb0bfdba24676109324b06502552f43c64f412c0c2d2c1b9e8d629ca3ec8483","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-03T16:14:12Z","title_canon_sha256":"b120e4a5c1efabd9553c2f06e1cbd0bd1ebb18154acb5f8dbc51e336c3c9cd65"},"schema_version":"1.0","source":{"id":"1812.00860","kind":"arxiv","version":3}},"canonical_sha256":"16d2184152a610a1bd21f0b808ee4e90f31ef4ab47b2cf31d2286f5bac0f31a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16d2184152a610a1bd21f0b808ee4e90f31ef4ab47b2cf31d2286f5bac0f31a5","first_computed_at":"2026-05-17T23:53:04.292201Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:04.292201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WOXh4pzsIc0N3BSB7MZQURAcS3bqa0Py7m6LWWAhZ/paCTEJuFx07o2V4BFwjEEa7f+Kuckvd6VB+hnewZosCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:04.292602Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.00860","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a70f4909d6e9f9ba568cd0281e6bd371bb67bf88270d395742c671d89c236846","sha256:8bf23f5aba72464a7ddf1f52d8a436598bb98877048478653bc5d23f772246bc"],"state_sha256":"e26bf7d5890de71886d93fb47d4fe52e33fb145074cc854e76bab549c85d2a79"}