{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:O2FOZIDQNTOH6VW62OZSZDN2NH","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":"ec8d3f92f0472d35cc4ebb5fc8e3acd6116b8aff8f7dfbd1ad2d005341e7d5ec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-31T23:21:07Z","title_canon_sha256":"b696f7d6187ca1e2208f2d05ee8529be011d3292a3321c69848f1e2389673dd6"},"schema_version":"1.0","source":{"id":"1811.00151","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.00151","created_at":"2026-05-18T00:01:48Z"},{"alias_kind":"arxiv_version","alias_value":"1811.00151v1","created_at":"2026-05-18T00:01:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.00151","created_at":"2026-05-18T00:01:48Z"},{"alias_kind":"pith_short_12","alias_value":"O2FOZIDQNTOH","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"O2FOZIDQNTOH6VW6","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"O2FOZIDQ","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:1c5f887019f81fde483716929d23646a203e504a163a5fdab88307428aced473","target":"graph","created_at":"2026-05-18T00:01:48Z","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 construct a consistent quantum field theory of a dimensionally reduced self-interacting scalar field. The Kaluza-Klein dimensional reduction on the well-known $\\Phi^{4}$ scalar theory, on a certain $(4+n)$ spacetime with an arbitrary number of extra dimensions, induces a four dimensional reduced theory with scalar fields: the zeroth mode (`light' field) and an infinite number of KK-excited modes (`heavy' fields). This theory is quantized by Hamiltonian path integral methods. It is shown, from first principles, that non-trivial measure factors at the level of the functional measure are absen","authors_text":"E. Mart\\'inez-Pascual, G. N\\'apoles-Ca\\~nedo, J. J. Toscano, M. A. L\\'opez-Osorio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-31T23:21:07Z","title":"The Feynman kernel of a dimensionally reduced scalar field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.00151","kind":"arxiv","version":1},"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:e2e02a8eae30a5214cf140a3af986f75e36a0ce73042d30daaf54ed767eedb87","target":"record","created_at":"2026-05-18T00:01:48Z","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":"ec8d3f92f0472d35cc4ebb5fc8e3acd6116b8aff8f7dfbd1ad2d005341e7d5ec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-31T23:21:07Z","title_canon_sha256":"b696f7d6187ca1e2208f2d05ee8529be011d3292a3321c69848f1e2389673dd6"},"schema_version":"1.0","source":{"id":"1811.00151","kind":"arxiv","version":1}},"canonical_sha256":"768aeca0706cdc7f56ded3b32c8dba69de0935d99f9ebe94cddb13d1686a2d7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"768aeca0706cdc7f56ded3b32c8dba69de0935d99f9ebe94cddb13d1686a2d7b","first_computed_at":"2026-05-18T00:01:48.093382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:48.093382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0MeC9/ujdhgEQ/4wIEdAhJmPV2qp89pI4s6S8rGsacYq0ei54cMRTRPMeilO9Rdri1TSIg9k+5Ff5RjBQjYmCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:48.093926Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.00151","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2e02a8eae30a5214cf140a3af986f75e36a0ce73042d30daaf54ed767eedb87","sha256:1c5f887019f81fde483716929d23646a203e504a163a5fdab88307428aced473"],"state_sha256":"c73d1e47bca3acdcfa86b7305fbe0139acc929a6b74fd4740a8340d97c23820c"}