{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:EVUBSNACIZZW3EGV6HSCEJZYJ7","short_pith_number":"pith:EVUBSNAC","canonical_record":{"source":{"id":"1507.07311","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-07-27T06:49:33Z","cross_cats_sorted":[],"title_canon_sha256":"58f9b1e8afbbe995d1c613d7d7d97d28e008d4846d057b9465ad480655ae4e5a","abstract_canon_sha256":"b521051d63cef428c10b592acdd99e195cc404c6339d0d89227da20d6589d965"},"schema_version":"1.0"},"canonical_sha256":"256819340246736d90d5f1e42227384fcd0e239de6d4b972c6f06d81e3613e55","source":{"kind":"arxiv","id":"1507.07311","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.07311","created_at":"2026-07-05T00:20:09Z"},{"alias_kind":"arxiv_version","alias_value":"1507.07311v3","created_at":"2026-07-05T00:20:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07311","created_at":"2026-07-05T00:20:09Z"},{"alias_kind":"pith_short_12","alias_value":"EVUBSNACIZZW","created_at":"2026-07-05T00:20:09Z"},{"alias_kind":"pith_short_16","alias_value":"EVUBSNACIZZW3EGV","created_at":"2026-07-05T00:20:09Z"},{"alias_kind":"pith_short_8","alias_value":"EVUBSNAC","created_at":"2026-07-05T00:20:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:EVUBSNACIZZW3EGV6HSCEJZYJ7","target":"record","payload":{"canonical_record":{"source":{"id":"1507.07311","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-07-27T06:49:33Z","cross_cats_sorted":[],"title_canon_sha256":"58f9b1e8afbbe995d1c613d7d7d97d28e008d4846d057b9465ad480655ae4e5a","abstract_canon_sha256":"b521051d63cef428c10b592acdd99e195cc404c6339d0d89227da20d6589d965"},"schema_version":"1.0"},"canonical_sha256":"256819340246736d90d5f1e42227384fcd0e239de6d4b972c6f06d81e3613e55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:20:09.247739Z","signature_b64":"qNA7rvxSUloBGNk1Axj8GqVvngI0lAfOXyYrbASq0lk9waT/kOJFMR6EZf+yePJGsJLPvX2SjI1BqnuM7ARDCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"256819340246736d90d5f1e42227384fcd0e239de6d4b972c6f06d81e3613e55","last_reissued_at":"2026-07-05T00:20:09.247361Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:20:09.247361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.07311","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:20:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"++ccinnf3HGpbYplbJUHKZD7dXT4a+lHkU/ZB7YbXyvoTeUgWQYxWr7F0RwrlnbOEjfjlVZR6HwtmHEY5/prAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T04:44:56.285750Z"},"content_sha256":"57aaf9782a304cc0d9cbeb9d48ad631ddebdd8e681d40d26edc6869f368e761c","schema_version":"1.0","event_id":"sha256:57aaf9782a304cc0d9cbeb9d48ad631ddebdd8e681d40d26edc6869f368e761c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:EVUBSNACIZZW3EGV6HSCEJZYJ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Ilkka Holopainen, Jaime Ripoll, Jean-Baptiste Casteras","submitted_at":"2015-07-27T06:49:33Z","abstract_excerpt":"We study the asymptotic Dirichlet and Plateau problems on Cartan-Hadamard manifolds satisfying the so-called Strict Convexity (abbr. SC) condition. The main part of the paper consists in studying the SC condition on a manifold whose sectional curvatures are bounded from above and below by certain functions depending on the distance to a fixed point. In particular, we are able to verify the SC condition on manifolds whose curvature lower bound can go to -infinity and upper bound to 0 simultaneously at certain rates, or on some manifolds whose sectional curvatures go to -infinity faster than any"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07311","kind":"arxiv","version":3},"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/1507.07311/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:20:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rykYMOnp080+VZq6yDxHvPSDJitLMlDmb0ohvofaxN5qHBJIYH4tpQaHPwa9wAfT0FFLgArZiZwKYhihWthMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T04:44:56.286127Z"},"content_sha256":"72a7d7d4a59fb21c910a41ce4445b6efb55288deccbc2bf39f3b18fa9559c1bf","schema_version":"1.0","event_id":"sha256:72a7d7d4a59fb21c910a41ce4445b6efb55288deccbc2bf39f3b18fa9559c1bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EVUBSNACIZZW3EGV6HSCEJZYJ7/bundle.json","state_url":"https://pith.science/pith/EVUBSNACIZZW3EGV6HSCEJZYJ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EVUBSNACIZZW3EGV6HSCEJZYJ7/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":"2026-07-06T04:44:56Z","links":{"resolver":"https://pith.science/pith/EVUBSNACIZZW3EGV6HSCEJZYJ7","bundle":"https://pith.science/pith/EVUBSNACIZZW3EGV6HSCEJZYJ7/bundle.json","state":"https://pith.science/pith/EVUBSNACIZZW3EGV6HSCEJZYJ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EVUBSNACIZZW3EGV6HSCEJZYJ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EVUBSNACIZZW3EGV6HSCEJZYJ7","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":"b521051d63cef428c10b592acdd99e195cc404c6339d0d89227da20d6589d965","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-07-27T06:49:33Z","title_canon_sha256":"58f9b1e8afbbe995d1c613d7d7d97d28e008d4846d057b9465ad480655ae4e5a"},"schema_version":"1.0","source":{"id":"1507.07311","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.07311","created_at":"2026-07-05T00:20:09Z"},{"alias_kind":"arxiv_version","alias_value":"1507.07311v3","created_at":"2026-07-05T00:20:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07311","created_at":"2026-07-05T00:20:09Z"},{"alias_kind":"pith_short_12","alias_value":"EVUBSNACIZZW","created_at":"2026-07-05T00:20:09Z"},{"alias_kind":"pith_short_16","alias_value":"EVUBSNACIZZW3EGV","created_at":"2026-07-05T00:20:09Z"},{"alias_kind":"pith_short_8","alias_value":"EVUBSNAC","created_at":"2026-07-05T00:20:09Z"}],"graph_snapshots":[{"event_id":"sha256:72a7d7d4a59fb21c910a41ce4445b6efb55288deccbc2bf39f3b18fa9559c1bf","target":"graph","created_at":"2026-07-05T00:20:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1507.07311/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the asymptotic Dirichlet and Plateau problems on Cartan-Hadamard manifolds satisfying the so-called Strict Convexity (abbr. SC) condition. The main part of the paper consists in studying the SC condition on a manifold whose sectional curvatures are bounded from above and below by certain functions depending on the distance to a fixed point. In particular, we are able to verify the SC condition on manifolds whose curvature lower bound can go to -infinity and upper bound to 0 simultaneously at certain rates, or on some manifolds whose sectional curvatures go to -infinity faster than any","authors_text":"Ilkka Holopainen, Jaime Ripoll, Jean-Baptiste Casteras","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-07-27T06:49:33Z","title":"Convexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07311","kind":"arxiv","version":3},"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":"sha256:57aaf9782a304cc0d9cbeb9d48ad631ddebdd8e681d40d26edc6869f368e761c","target":"record","created_at":"2026-07-05T00:20:09Z","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":"b521051d63cef428c10b592acdd99e195cc404c6339d0d89227da20d6589d965","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-07-27T06:49:33Z","title_canon_sha256":"58f9b1e8afbbe995d1c613d7d7d97d28e008d4846d057b9465ad480655ae4e5a"},"schema_version":"1.0","source":{"id":"1507.07311","kind":"arxiv","version":3}},"canonical_sha256":"256819340246736d90d5f1e42227384fcd0e239de6d4b972c6f06d81e3613e55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"256819340246736d90d5f1e42227384fcd0e239de6d4b972c6f06d81e3613e55","first_computed_at":"2026-07-05T00:20:09.247361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:20:09.247361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qNA7rvxSUloBGNk1Axj8GqVvngI0lAfOXyYrbASq0lk9waT/kOJFMR6EZf+yePJGsJLPvX2SjI1BqnuM7ARDCw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:20:09.247739Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.07311","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57aaf9782a304cc0d9cbeb9d48ad631ddebdd8e681d40d26edc6869f368e761c","sha256:72a7d7d4a59fb21c910a41ce4445b6efb55288deccbc2bf39f3b18fa9559c1bf"],"state_sha256":"daf558d5626431a32d6e95c4c375665493ec25cf541ae61351f942802e0b8859"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nCPxN78pWt2yXm0j+d975kp+NXR3rrkXcWHRes9MMBRHVkLrCsoyqv30yQAIBA58+22EAPep2RtGJ/DFyLc8AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T04:44:56.288150Z","bundle_sha256":"9f8b87bf2e107ce84053371869c1b8e776df85343cdda226f412b96b21e7669a"}}