{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:BVFUSTA32C5JUJWURERZMH3Y2D","short_pith_number":"pith:BVFUSTA3","canonical_record":{"source":{"id":"1804.07625","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-04-20T14:04:42Z","cross_cats_sorted":[],"title_canon_sha256":"383c0a19ddb702f8464edcc16e476b020f0803874240cddc515c282f2ff659e0","abstract_canon_sha256":"24d07c3e137c6b9c713a121fa50cbb6310111c8fc5534ea8da9452e2d55a0d52"},"schema_version":"1.0"},"canonical_sha256":"0d4b494c1bd0ba9a26d48923961f78d0eb209b6b1c9d26e2157a3c0341c1db84","source":{"kind":"arxiv","id":"1804.07625","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.07625","created_at":"2026-05-18T00:17:58Z"},{"alias_kind":"arxiv_version","alias_value":"1804.07625v1","created_at":"2026-05-18T00:17:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07625","created_at":"2026-05-18T00:17:58Z"},{"alias_kind":"pith_short_12","alias_value":"BVFUSTA32C5J","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BVFUSTA32C5JUJWU","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BVFUSTA3","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:BVFUSTA32C5JUJWURERZMH3Y2D","target":"record","payload":{"canonical_record":{"source":{"id":"1804.07625","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-04-20T14:04:42Z","cross_cats_sorted":[],"title_canon_sha256":"383c0a19ddb702f8464edcc16e476b020f0803874240cddc515c282f2ff659e0","abstract_canon_sha256":"24d07c3e137c6b9c713a121fa50cbb6310111c8fc5534ea8da9452e2d55a0d52"},"schema_version":"1.0"},"canonical_sha256":"0d4b494c1bd0ba9a26d48923961f78d0eb209b6b1c9d26e2157a3c0341c1db84","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:58.285651Z","signature_b64":"5WhQeWGx50tlBfX+xc1TRxikswg0CHAZE1Zidoz5zxpXrf3Log+RmK81s75wTtq6B0q6AzFdxTIXRk9l/cwNCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d4b494c1bd0ba9a26d48923961f78d0eb209b6b1c9d26e2157a3c0341c1db84","last_reissued_at":"2026-05-18T00:17:58.285058Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:58.285058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.07625","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":"2026-05-18T00:17:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0QFih7+6syc9jAF3GrNoOf3LHdssE0Mb5a5dvCOYurVRKMRUSj3wOPfeIHwe49qJDiyHnmmCIIGGaE9lfyupDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T11:03:12.707634Z"},"content_sha256":"a8b81ee3f16966b5d9fa601a22383af0f55ceeecdfed979f1e89e2bae8ae7ebd","schema_version":"1.0","event_id":"sha256:a8b81ee3f16966b5d9fa601a22383af0f55ceeecdfed979f1e89e2bae8ae7ebd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:BVFUSTA32C5JUJWURERZMH3Y2D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological obstructions to continuity of Orlicz-Sobolev mappings of finite distortion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Pawe{\\l} Goldstein, Piotr Haj{\\l}asz","submitted_at":"2018-04-20T14:04:42Z","abstract_excerpt":"In the paper we investigate continuity of Orlicz-Sobolev mappings $W^{1,P}(M,N)$ of finite distortion between smooth Riemannian $n$-manifolds, $n\\geq 2$, under the assumption that the Young function $P$ satisfies the so called divergence condition $\\int_1^\\infty P(t)/t^{n+1}\\, dt=\\infty$. We prove that if the manifolds are oriented, $N$ is compact, and the universal cover of $N$ is not a rational homology sphere, then such mappings are continuous. That includes mappings with $Df\\in L^n$ and, more generally, mappings with $Df\\in L^n\\log^{-1}L$. On the other hand, if the space $W^{1,P}$ is large"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07625","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":"2026-05-18T00:17:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9RDirqSdB5ofwgaFoO9GFERG4JQGJ+ao2vi0IRWNL8TRoMaQjqLmykIZdkUKo32dSIayTcWVy4jSoM4pHLMhBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T11:03:12.708258Z"},"content_sha256":"3e027c571c00f74b4cd7c3083308885979b10819277b2678a5eed880726bbe75","schema_version":"1.0","event_id":"sha256:3e027c571c00f74b4cd7c3083308885979b10819277b2678a5eed880726bbe75"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BVFUSTA32C5JUJWURERZMH3Y2D/bundle.json","state_url":"https://pith.science/pith/BVFUSTA32C5JUJWURERZMH3Y2D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BVFUSTA32C5JUJWURERZMH3Y2D/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":"2026-06-07T11:03:12Z","links":{"resolver":"https://pith.science/pith/BVFUSTA32C5JUJWURERZMH3Y2D","bundle":"https://pith.science/pith/BVFUSTA32C5JUJWURERZMH3Y2D/bundle.json","state":"https://pith.science/pith/BVFUSTA32C5JUJWURERZMH3Y2D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BVFUSTA32C5JUJWURERZMH3Y2D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BVFUSTA32C5JUJWURERZMH3Y2D","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":"24d07c3e137c6b9c713a121fa50cbb6310111c8fc5534ea8da9452e2d55a0d52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-04-20T14:04:42Z","title_canon_sha256":"383c0a19ddb702f8464edcc16e476b020f0803874240cddc515c282f2ff659e0"},"schema_version":"1.0","source":{"id":"1804.07625","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.07625","created_at":"2026-05-18T00:17:58Z"},{"alias_kind":"arxiv_version","alias_value":"1804.07625v1","created_at":"2026-05-18T00:17:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07625","created_at":"2026-05-18T00:17:58Z"},{"alias_kind":"pith_short_12","alias_value":"BVFUSTA32C5J","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BVFUSTA32C5JUJWU","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BVFUSTA3","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:3e027c571c00f74b4cd7c3083308885979b10819277b2678a5eed880726bbe75","target":"graph","created_at":"2026-05-18T00:17:58Z","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":"In the paper we investigate continuity of Orlicz-Sobolev mappings $W^{1,P}(M,N)$ of finite distortion between smooth Riemannian $n$-manifolds, $n\\geq 2$, under the assumption that the Young function $P$ satisfies the so called divergence condition $\\int_1^\\infty P(t)/t^{n+1}\\, dt=\\infty$. We prove that if the manifolds are oriented, $N$ is compact, and the universal cover of $N$ is not a rational homology sphere, then such mappings are continuous. That includes mappings with $Df\\in L^n$ and, more generally, mappings with $Df\\in L^n\\log^{-1}L$. On the other hand, if the space $W^{1,P}$ is large","authors_text":"Pawe{\\l} Goldstein, Piotr Haj{\\l}asz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-04-20T14:04:42Z","title":"Topological obstructions to continuity of Orlicz-Sobolev mappings of finite distortion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07625","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:a8b81ee3f16966b5d9fa601a22383af0f55ceeecdfed979f1e89e2bae8ae7ebd","target":"record","created_at":"2026-05-18T00:17:58Z","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":"24d07c3e137c6b9c713a121fa50cbb6310111c8fc5534ea8da9452e2d55a0d52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-04-20T14:04:42Z","title_canon_sha256":"383c0a19ddb702f8464edcc16e476b020f0803874240cddc515c282f2ff659e0"},"schema_version":"1.0","source":{"id":"1804.07625","kind":"arxiv","version":1}},"canonical_sha256":"0d4b494c1bd0ba9a26d48923961f78d0eb209b6b1c9d26e2157a3c0341c1db84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d4b494c1bd0ba9a26d48923961f78d0eb209b6b1c9d26e2157a3c0341c1db84","first_computed_at":"2026-05-18T00:17:58.285058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:58.285058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5WhQeWGx50tlBfX+xc1TRxikswg0CHAZE1Zidoz5zxpXrf3Log+RmK81s75wTtq6B0q6AzFdxTIXRk9l/cwNCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:58.285651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.07625","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8b81ee3f16966b5d9fa601a22383af0f55ceeecdfed979f1e89e2bae8ae7ebd","sha256:3e027c571c00f74b4cd7c3083308885979b10819277b2678a5eed880726bbe75"],"state_sha256":"a8a87d98ec53366d1d834af2873d62708678ce06cd69504ee78ee2776f346a49"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"omHFNzEKn8BjAUyhrVqeNHC49t82+vSb41glA8C07oBhN/H58o4/RoJkWJv5IfhnUcGTyZ8XolIhuKXhufF6CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T11:03:12.711285Z","bundle_sha256":"2d1fd040fbe5822930dfe0660a63c64b0900908165e6e9de872010cf9cf1670c"}}