{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YJVZHJEET7YF5XI3S5QQQD5BTO","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":"02d8ddcb462f9c67f00a53dab97cacee875879e6c8a1e6916b6c091499923f0f","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-06T21:12:59Z","title_canon_sha256":"6db6b512dd1c9ef768218a8ac159c1d5f469525b60584b31bb8c7911c7eeec00"},"schema_version":"1.0","source":{"id":"1310.1631","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1631","created_at":"2026-05-18T02:29:23Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1631v5","created_at":"2026-05-18T02:29:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1631","created_at":"2026-05-18T02:29:23Z"},{"alias_kind":"pith_short_12","alias_value":"YJVZHJEET7YF","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YJVZHJEET7YF5XI3","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YJVZHJEE","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:76e3b3806cb9e0b4a4d83e7d6e80e7077b74a4466646d118ec4dbfa3abd0d1a3","target":"graph","created_at":"2026-05-18T02:29:23Z","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 shall define the oscillatory integrals by action integrals, Van Vleck determinant and Dewitt curvature. Our method employs action integrals along the shortest paths. We have the strong but not uniform convergence of time slicing Feynman path integrals for low energy functions.","authors_text":"Yoshihisa Miyanishi","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-06T21:12:59Z","title":"Remarks on low-energy approximations for Feynman path integration on the sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1631","kind":"arxiv","version":5},"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":"sha256:2d5c82df3035646098a862ed20738588079623ff66a2880c79ffaa32194def85","target":"record","created_at":"2026-05-18T02:29:23Z","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":"02d8ddcb462f9c67f00a53dab97cacee875879e6c8a1e6916b6c091499923f0f","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-06T21:12:59Z","title_canon_sha256":"6db6b512dd1c9ef768218a8ac159c1d5f469525b60584b31bb8c7911c7eeec00"},"schema_version":"1.0","source":{"id":"1310.1631","kind":"arxiv","version":5}},"canonical_sha256":"c26b93a4849ff05edd1b9761080fa19bbd24975494c2d572527e2b39600ab4e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c26b93a4849ff05edd1b9761080fa19bbd24975494c2d572527e2b39600ab4e8","first_computed_at":"2026-05-18T02:29:23.587953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:23.587953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KqUN3MR/q8JhU+HCmBrwhF+XzThLSt9jJ1rx+uL1w3Y1AGVBS8tMo4iiIfYdQKdhbblpwY5zNnGhV5NCjzIrCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:23.588477Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1631","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d5c82df3035646098a862ed20738588079623ff66a2880c79ffaa32194def85","sha256:76e3b3806cb9e0b4a4d83e7d6e80e7077b74a4466646d118ec4dbfa3abd0d1a3"],"state_sha256":"8215ebb810b25f680e88a45e9090e107bfcb1c332ecd419a307c57429a16fd2e"}