{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:6BQUTYSUHCQ7WIPC65KIJYPEC7","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":"71befadd2cd86a6d342a39fe6fbc7607cbc5e446dce170ecf1bf464d3817c579","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-07-29T18:43:34Z","title_canon_sha256":"ec835cd166782a2c197762ff23031c99eaea1af54e07e1d218ff252961a645c7"},"schema_version":"1.0","source":{"id":"1007.5292","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.5292","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"arxiv_version","alias_value":"1007.5292v1","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.5292","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"pith_short_12","alias_value":"6BQUTYSUHCQ7","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6BQUTYSUHCQ7WIPC","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6BQUTYSU","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:4cc1647e1dbc512a8b399a886069540d19b1fe74b831af26e1b81c6d614507eb","target":"graph","created_at":"2026-05-18T02:33:08Z","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 consider a topological quantum mechanics described by a phase space path integral and study the 1-dimensional analog for the path integral representation of the Kontsevich formula. We see that the naive bosonic integral possesses divergences, that it is even naively non-invariant and thus is ill-defined. We then consider a super-extension of the theory which eliminates the divergences and makes the theory naively invariant. This super-extension is equivalent to the correct choice of measure and was discussed in the literature. We then investigate the behavior of this extended theory under d","authors_text":"Mykola Dedushenko","cross_cats":["math-ph","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-07-29T18:43:34Z","title":"Violation of the phase space general covariance as a diffeomorphism anomaly in quantum mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.5292","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":"sha256:49d13b7e5afe0010de810a85d4d8c0521109e5390d03b4b160a4470af73a6c1a","target":"record","created_at":"2026-05-18T02:33:08Z","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":"71befadd2cd86a6d342a39fe6fbc7607cbc5e446dce170ecf1bf464d3817c579","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-07-29T18:43:34Z","title_canon_sha256":"ec835cd166782a2c197762ff23031c99eaea1af54e07e1d218ff252961a645c7"},"schema_version":"1.0","source":{"id":"1007.5292","kind":"arxiv","version":1}},"canonical_sha256":"f06149e25438a1fb21e2f75484e1e417cd7bf547f53857d099c7aa3c111d44b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f06149e25438a1fb21e2f75484e1e417cd7bf547f53857d099c7aa3c111d44b0","first_computed_at":"2026-05-18T02:33:08.636360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:08.636360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2QE/3MpqVZxLRjeAROmDIlIO5fGVn/DcFVgFInGW+Sd9hDwhdDs+ABvge3zemOGDwcWufCJ9BT+PkDdzeau8BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:08.636746Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.5292","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49d13b7e5afe0010de810a85d4d8c0521109e5390d03b4b160a4470af73a6c1a","sha256:4cc1647e1dbc512a8b399a886069540d19b1fe74b831af26e1b81c6d614507eb"],"state_sha256":"c321b7389f280f6b98a1a44966dac144011bea3a784bbbfa6c53df8d91c23fbe"}