{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:HC3RAZTFZBUZ6CXDR3XNPNAHTH","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":"8641e1eace0cd452a05b11cb6b491ed439f24ffe5050f172a4e7620a79190485","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-10-15T18:17:13Z","title_canon_sha256":"e933094ad52da5f159e04e510607bc18c96399588b9f4b484ae8e2f064c10bae"},"schema_version":"1.0","source":{"id":"hep-th/9810119","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9810119","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9810119v1","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9810119","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"pith_short_12","alias_value":"HC3RAZTFZBUZ","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"pith_short_16","alias_value":"HC3RAZTFZBUZ6CXD","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"pith_short_8","alias_value":"HC3RAZTF","created_at":"2026-07-04T16:10:02Z"}],"graph_snapshots":[{"event_id":"sha256:8da44bd51509a5e6e4fe569b77fd169897eb095969dc1dfdbad1c87120816439","target":"graph","created_at":"2026-07-04T16:10:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9810119/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The path integral representation of the transition amplitude for a particle moving in curved space has presented unexpected challenges since the introduction of path integrals by Feynman fifty years ago. In this paper we discuss and review mode regularization of the configuration space path integral, and present a three loop computation of the transition amplitude to test with success the consistency of such a regularization. Key features of the method are the use of the Lee-Yang ghost fields, which guarantee a consistent treatment of the non-trivial path integral measure at higher loops, and ","authors_text":"Fiorenzo Bastianelli, Olindo Corradini","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1998-10-15T18:17:13Z","title":"On Mode Regularization of the Configuration Space Path Integral in Curved Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9810119","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:d1a8573fdc1aa3529291ad4d7e1dc18a087482fc7b1575a5ead67c309431f895","target":"record","created_at":"2026-07-04T16:10:02Z","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":"8641e1eace0cd452a05b11cb6b491ed439f24ffe5050f172a4e7620a79190485","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-10-15T18:17:13Z","title_canon_sha256":"e933094ad52da5f159e04e510607bc18c96399588b9f4b484ae8e2f064c10bae"},"schema_version":"1.0","source":{"id":"hep-th/9810119","kind":"arxiv","version":1}},"canonical_sha256":"38b7106665c8699f0ae38eeed7b40799ecf7c64efc519febd25e6f281caec6dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38b7106665c8699f0ae38eeed7b40799ecf7c64efc519febd25e6f281caec6dc","first_computed_at":"2026-07-04T16:10:02.106066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:10:02.106066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TsXx2WsMeAGuVlBO00iMkEO4RaU17TWJDxewLVLrjCoozGNktrD8t/XqTOHSvB+woDOiD6jz0VLKsnf+t1/HCw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:10:02.106436Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9810119","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1a8573fdc1aa3529291ad4d7e1dc18a087482fc7b1575a5ead67c309431f895","sha256:8da44bd51509a5e6e4fe569b77fd169897eb095969dc1dfdbad1c87120816439"],"state_sha256":"e1804d21327a66b9a7e60fb08f7ee940b0fe84e09e7eb56bbf97f44425e2c760"}