{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HNLZ6JR33SZRIDFKEO7ZWCVFXA","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":"e0de5b989c8d29fcda8c0411cb7ac81e3aeee8b929b828dac58d8c6e439758e2","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-27T16:10:21Z","title_canon_sha256":"aaa833b1b1a6a298f709dbb2cf33defef7bc057b8dad64fce9200fae44ab9ed2"},"schema_version":"1.0","source":{"id":"1009.5309","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5309","created_at":"2026-05-18T04:20:14Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5309v2","created_at":"2026-05-18T04:20:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5309","created_at":"2026-05-18T04:20:14Z"},{"alias_kind":"pith_short_12","alias_value":"HNLZ6JR33SZR","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HNLZ6JR33SZRIDFK","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HNLZ6JR3","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:cae8ce6b3e0a3138fcabcb68af4dd0d49118c76b140ccda1f7262de363f23b46","target":"graph","created_at":"2026-05-18T04:20:14Z","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 develop the recent proposal to use dimensional reduction from the four-dimensional space-time D=(1+3) to the variant with a smaller number of space dimensions D=(1+d), d < 3, at sufficiently small distances to construct a renormalizable quantum field theory. We study the Klein-Gordon equation on a few toy examples (\"educational toys\") of a space-time with variable special geometry, including a transition to a dimensional reduction. The examples considered contain a combination of two regions with a simple geometry (two-dimensional cylindrical surfaces with different radii) connected by a tr","authors_text":"D.V. Shirkov, P. P. Fiziev","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-27T16:10:21Z","title":"Solutions of the Klein-Gordon equation on manifolds with variable geometry including dimensional reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5309","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:d2dbd4c4640907cc518018c48afc21df6e1196ce6bf4b33677800aac9aa4a379","target":"record","created_at":"2026-05-18T04:20:14Z","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":"e0de5b989c8d29fcda8c0411cb7ac81e3aeee8b929b828dac58d8c6e439758e2","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-27T16:10:21Z","title_canon_sha256":"aaa833b1b1a6a298f709dbb2cf33defef7bc057b8dad64fce9200fae44ab9ed2"},"schema_version":"1.0","source":{"id":"1009.5309","kind":"arxiv","version":2}},"canonical_sha256":"3b579f263bdcb3140caa23bf9b0aa5b825261d18f6b2f0e2d207d379c83c089c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b579f263bdcb3140caa23bf9b0aa5b825261d18f6b2f0e2d207d379c83c089c","first_computed_at":"2026-05-18T04:20:14.617259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:14.617259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OTWb4d4/nobAOFo91rgEB6a0TqOFVPFWwuJURO8AkV++74ETv7uqN+2E2bJop26nc1y3TAraPtI/gRFryGGUCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:14.617962Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.5309","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2dbd4c4640907cc518018c48afc21df6e1196ce6bf4b33677800aac9aa4a379","sha256:cae8ce6b3e0a3138fcabcb68af4dd0d49118c76b140ccda1f7262de363f23b46"],"state_sha256":"5fcf1aad6a0bca0addfd17879e860221380a80a1bfe316a56d8414603cfb0e53"}