{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MLAMIVW75A67DMTQXLNK3F3FWA","short_pith_number":"pith:MLAMIVW7","canonical_record":{"source":{"id":"1701.05425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-19T14:18:27Z","cross_cats_sorted":[],"title_canon_sha256":"abaa8b4ac823cd1ccf9091cda4679a9129dc512e6bb34849bcb39a2359baf62e","abstract_canon_sha256":"550b16e3e20cd97cc5adbc6b4d90a388e9e643d4408293e92c4233462b526ef4"},"schema_version":"1.0"},"canonical_sha256":"62c0c456dfe83df1b270badaad9765b032579936513c310271d31c8b9fc9e1d8","source":{"kind":"arxiv","id":"1701.05425","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05425","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05425v1","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05425","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"pith_short_12","alias_value":"MLAMIVW75A67","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MLAMIVW75A67DMTQ","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MLAMIVW7","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MLAMIVW75A67DMTQXLNK3F3FWA","target":"record","payload":{"canonical_record":{"source":{"id":"1701.05425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-19T14:18:27Z","cross_cats_sorted":[],"title_canon_sha256":"abaa8b4ac823cd1ccf9091cda4679a9129dc512e6bb34849bcb39a2359baf62e","abstract_canon_sha256":"550b16e3e20cd97cc5adbc6b4d90a388e9e643d4408293e92c4233462b526ef4"},"schema_version":"1.0"},"canonical_sha256":"62c0c456dfe83df1b270badaad9765b032579936513c310271d31c8b9fc9e1d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:29.961473Z","signature_b64":"mbPZudARsLnt3DI3WMtUAugUlZCJ9cyhtNTj8PckKn7DqaN3rPdgfs+/FXG3Anfe3JmvCz+OKGdiZYdtlKt/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62c0c456dfe83df1b270badaad9765b032579936513c310271d31c8b9fc9e1d8","last_reissued_at":"2026-05-18T00:52:29.961008Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:29.961008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.05425","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q858zhKgz1DyxlMC2SkH2rygoXc2HHX3emi9DkogYWWAS2V8vbm9JY88x4q3u6IBWGlf8b01s2O9EuCig9s3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:45:22.800858Z"},"content_sha256":"f64aff0fc5858c3e3ae055adfcf06c14b30a104ad84b3534da5ac46502924012","schema_version":"1.0","event_id":"sha256:f64aff0fc5858c3e3ae055adfcf06c14b30a104ad84b3534da5ac46502924012"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MLAMIVW75A67DMTQXLNK3F3FWA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lp almost conformal isometries of Sub-Semi-Riemannian metrics and solvability of a Ricci equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Erwann Delay (LMA)","submitted_at":"2017-01-19T14:18:27Z","abstract_excerpt":"Let M be a smooth compact manifold without boundary. We consider two smooth Sub-Semi-Riemannian metrics on M. Under suitable conditions, we show that they are almost conformally isometric in an Lp sense. Assume also that M carries a Riemannian metric with parallel Ricci curvature. Then an equation of Ricci type, is in some sense solvable, without assuming any closeness near a special metric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05425","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mImZ96rjFBRJlwQU7pzIkdMDO62ekzr36POvOVZoZ5khCiTkAX/AObrg6j2ZwAE+/F5SPP2m3ZNmynhY2n5ODA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:45:22.801205Z"},"content_sha256":"8d7db147b735d7d0abfc0545a0feca2c67a7cf346faeb1814bcc318bf599b679","schema_version":"1.0","event_id":"sha256:8d7db147b735d7d0abfc0545a0feca2c67a7cf346faeb1814bcc318bf599b679"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MLAMIVW75A67DMTQXLNK3F3FWA/bundle.json","state_url":"https://pith.science/pith/MLAMIVW75A67DMTQXLNK3F3FWA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MLAMIVW75A67DMTQXLNK3F3FWA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T15:45:22Z","links":{"resolver":"https://pith.science/pith/MLAMIVW75A67DMTQXLNK3F3FWA","bundle":"https://pith.science/pith/MLAMIVW75A67DMTQXLNK3F3FWA/bundle.json","state":"https://pith.science/pith/MLAMIVW75A67DMTQXLNK3F3FWA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MLAMIVW75A67DMTQXLNK3F3FWA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MLAMIVW75A67DMTQXLNK3F3FWA","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":"550b16e3e20cd97cc5adbc6b4d90a388e9e643d4408293e92c4233462b526ef4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-19T14:18:27Z","title_canon_sha256":"abaa8b4ac823cd1ccf9091cda4679a9129dc512e6bb34849bcb39a2359baf62e"},"schema_version":"1.0","source":{"id":"1701.05425","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05425","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05425v1","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05425","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"pith_short_12","alias_value":"MLAMIVW75A67","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MLAMIVW75A67DMTQ","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MLAMIVW7","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:8d7db147b735d7d0abfc0545a0feca2c67a7cf346faeb1814bcc318bf599b679","target":"graph","created_at":"2026-05-18T00:52:29Z","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":"Let M be a smooth compact manifold without boundary. We consider two smooth Sub-Semi-Riemannian metrics on M. Under suitable conditions, we show that they are almost conformally isometric in an Lp sense. Assume also that M carries a Riemannian metric with parallel Ricci curvature. Then an equation of Ricci type, is in some sense solvable, without assuming any closeness near a special metric.","authors_text":"Erwann Delay (LMA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-19T14:18:27Z","title":"Lp almost conformal isometries of Sub-Semi-Riemannian metrics and solvability of a Ricci equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05425","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:f64aff0fc5858c3e3ae055adfcf06c14b30a104ad84b3534da5ac46502924012","target":"record","created_at":"2026-05-18T00:52:29Z","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":"550b16e3e20cd97cc5adbc6b4d90a388e9e643d4408293e92c4233462b526ef4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-19T14:18:27Z","title_canon_sha256":"abaa8b4ac823cd1ccf9091cda4679a9129dc512e6bb34849bcb39a2359baf62e"},"schema_version":"1.0","source":{"id":"1701.05425","kind":"arxiv","version":1}},"canonical_sha256":"62c0c456dfe83df1b270badaad9765b032579936513c310271d31c8b9fc9e1d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62c0c456dfe83df1b270badaad9765b032579936513c310271d31c8b9fc9e1d8","first_computed_at":"2026-05-18T00:52:29.961008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:29.961008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mbPZudARsLnt3DI3WMtUAugUlZCJ9cyhtNTj8PckKn7DqaN3rPdgfs+/FXG3Anfe3JmvCz+OKGdiZYdtlKt/Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:29.961473Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05425","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f64aff0fc5858c3e3ae055adfcf06c14b30a104ad84b3534da5ac46502924012","sha256:8d7db147b735d7d0abfc0545a0feca2c67a7cf346faeb1814bcc318bf599b679"],"state_sha256":"b339b94ddd2c27a1621a73e149c7e96948febc0e19194c17ab2d87e9fc3443ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LfJp4Ax7DKowMR6VqOQjnbvanO9N8nKWIDXTboXHRh3KHs4wTV+2Ijl5BCDg+xT2YO0vVvrQg2b/i/YHUJhADA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T15:45:22.803126Z","bundle_sha256":"cab41be2e4f3e6d7aae0227cfd7d043e1648cc37860379bff3ceb35ae5db49dc"}}