{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:HNCF3QHJL5OKEUNE6WIWUIPPYX","short_pith_number":"pith:HNCF3QHJ","schema_version":"1.0","canonical_sha256":"3b445dc0e95f5ca251a4f5916a21efc5dce7b0157a7ee152c3538c1a76c2004a","source":{"kind":"arxiv","id":"2608.13289","version":1},"attestation_state":"computed","paper":{"title":"Differential Obstructions to Curvature-Dependent Conformal Transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"David S. Pereira, Francisco S.N. Lobo, Jos\\'e Pedro Mimoso","submitted_at":"2026-08-13T14:24:02Z","abstract_excerpt":"Curvature-dependent conformal rules are local forward assignments on known metrics, but they are not generically local changes of metric variables. We study the nondegenerate class $\\widetilde g_{\\mu\\nu}=F(R[g])g_{\\mu\\nu}$, with $F>0$ and $F_R\\neq0$. Introducing an independent auxiliary scalar localizes the forward map, while recovering the original metric requires a differential constraint. The complete inverse metric tangent map contains the nonpolynomial projector $\\xi^\\mu\\xi^\\nu/\\xi^2$; hence no differentiable finite-jet inverse, i.e., a formula involving only finitely many derivatives at "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2608.13289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-08-13T14:24:02Z","cross_cats_sorted":[],"title_canon_sha256":"c18223336059975686529b144b7b708c99cc662c5cfc6c7598b4bc2650cb9318","abstract_canon_sha256":"00dde343ebb73f2652e58a8c83a99655a3bca0524c458f446cd96d080c0565d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-14T01:04:08.691785Z","signature_b64":"s3hZinvnAMQ7iI5z7JAe4xAHZfLHSeKjopvUMikiuwbMAyhvSZ+l9yOEULRuAF0znOr15jwbL5//ixmnMTzuCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b445dc0e95f5ca251a4f5916a21efc5dce7b0157a7ee152c3538c1a76c2004a","last_reissued_at":"2026-08-14T01:04:08.689889Z","signature_status":"signed_v1","first_computed_at":"2026-08-14T01:04:08.689889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Differential Obstructions to Curvature-Dependent Conformal Transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"David S. Pereira, Francisco S.N. Lobo, Jos\\'e Pedro Mimoso","submitted_at":"2026-08-13T14:24:02Z","abstract_excerpt":"Curvature-dependent conformal rules are local forward assignments on known metrics, but they are not generically local changes of metric variables. We study the nondegenerate class $\\widetilde g_{\\mu\\nu}=F(R[g])g_{\\mu\\nu}$, with $F>0$ and $F_R\\neq0$. Introducing an independent auxiliary scalar localizes the forward map, while recovering the original metric requires a differential constraint. The complete inverse metric tangent map contains the nonpolynomial projector $\\xi^\\mu\\xi^\\nu/\\xi^2$; hence no differentiable finite-jet inverse, i.e., a formula involving only finitely many derivatives at "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.13289","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.13289/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2608.13289","created_at":"2026-08-14T01:04:08.690837+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.13289v1","created_at":"2026-08-14T01:04:08.690837+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.13289","created_at":"2026-08-14T01:04:08.690837+00:00"},{"alias_kind":"pith_short_12","alias_value":"HNCF3QHJL5OK","created_at":"2026-08-14T01:04:08.690837+00:00"},{"alias_kind":"pith_short_16","alias_value":"HNCF3QHJL5OKEUNE","created_at":"2026-08-14T01:04:08.690837+00:00"},{"alias_kind":"pith_short_8","alias_value":"HNCF3QHJ","created_at":"2026-08-14T01:04:08.690837+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX","json":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX.json","graph_json":"https://pith.science/api/pith-number/HNCF3QHJL5OKEUNE6WIWUIPPYX/graph.json","events_json":"https://pith.science/api/pith-number/HNCF3QHJL5OKEUNE6WIWUIPPYX/events.json","paper":"https://pith.science/paper/HNCF3QHJ"},"agent_actions":{"view_html":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX","download_json":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX.json","view_paper":"https://pith.science/paper/HNCF3QHJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.13289&json=true","fetch_graph":"https://pith.science/api/pith-number/HNCF3QHJL5OKEUNE6WIWUIPPYX/graph.json","fetch_events":"https://pith.science/api/pith-number/HNCF3QHJL5OKEUNE6WIWUIPPYX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX/action/storage_attestation","attest_author":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX/action/author_attestation","sign_citation":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX/action/citation_signature","submit_replication":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX/action/replication_record"}},"created_at":"2026-08-14T01:04:08.690837+00:00","updated_at":"2026-08-14T01:04:08.690837+00:00"}