{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:FPV5CN7LNQDRCU2F23MDMF2LLW","short_pith_number":"pith:FPV5CN7L","canonical_record":{"source":{"id":"1905.11238","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-05-24T11:47:56Z","cross_cats_sorted":[],"title_canon_sha256":"df76c1b76987e230ddc60c3a00d258f2cf8230312af114019067f1e4bd03d434","abstract_canon_sha256":"803bc0eb126646e60ed5d8953c83ee2e5cf76c13be37d6fb6a499eda643cee4b"},"schema_version":"1.0"},"canonical_sha256":"2bebd137eb6c07115345d6d836174b5db6ca7779f195f0f14e9ef12b4c48baef","source":{"kind":"arxiv","id":"1905.11238","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11238","created_at":"2026-05-17T23:45:02Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11238v1","created_at":"2026-05-17T23:45:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11238","created_at":"2026-05-17T23:45:02Z"},{"alias_kind":"pith_short_12","alias_value":"FPV5CN7LNQDR","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"FPV5CN7LNQDRCU2F","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"FPV5CN7L","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:FPV5CN7LNQDRCU2F23MDMF2LLW","target":"record","payload":{"canonical_record":{"source":{"id":"1905.11238","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-05-24T11:47:56Z","cross_cats_sorted":[],"title_canon_sha256":"df76c1b76987e230ddc60c3a00d258f2cf8230312af114019067f1e4bd03d434","abstract_canon_sha256":"803bc0eb126646e60ed5d8953c83ee2e5cf76c13be37d6fb6a499eda643cee4b"},"schema_version":"1.0"},"canonical_sha256":"2bebd137eb6c07115345d6d836174b5db6ca7779f195f0f14e9ef12b4c48baef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:02.604305Z","signature_b64":"HmNuILnSPGltyrYbK+6v+zwiyV17cIIrDcjTcrnn/P4Irpdp449rnyLqy0sdMk09LEGJ6m/+9JwRF7vpVpLvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2bebd137eb6c07115345d6d836174b5db6ca7779f195f0f14e9ef12b4c48baef","last_reissued_at":"2026-05-17T23:45:02.603715Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:02.603715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.11238","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":"2026-05-17T23:45:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y+gfh033IaOgKlodeP6OhNmHQ+Tlan6OMT3NrO+DfsN2MNAWzX/zqIkZml8iyHHtrt6EaiH9sP/Y/xLHt1PGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T22:11:06.681724Z"},"content_sha256":"99849d32d899857d29514c7d2fe1a2cd7356849d01da9329cfd4dc0a1e79339d","schema_version":"1.0","event_id":"sha256:99849d32d899857d29514c7d2fe1a2cd7356849d01da9329cfd4dc0a1e79339d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:FPV5CN7LNQDRCU2F23MDMF2LLW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variational Inequalities on Geodesic Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Emirhan Hacio\\u{g}lu, Vatan Karakaya","submitted_at":"2019-05-24T11:47:56Z","abstract_excerpt":"In this paper, we introduce a new variational inequality problem(VIP) associated with nonself multivalued nonexpansive mappings in $CAT(0)$ spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11238","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":"2026-05-17T23:45:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"szFDIf/MF5z4eWpWr80sW+emOZWcclsEQkgK2KmLZljKSUa7kYWq45KWij0lpRJjci9DyqC4zmxuZgf9QwZIBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T22:11:06.682066Z"},"content_sha256":"91442f552138beaae4ae8401124a72a10e88617e0f1d2e5017db506bef964048","schema_version":"1.0","event_id":"sha256:91442f552138beaae4ae8401124a72a10e88617e0f1d2e5017db506bef964048"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FPV5CN7LNQDRCU2F23MDMF2LLW/bundle.json","state_url":"https://pith.science/pith/FPV5CN7LNQDRCU2F23MDMF2LLW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FPV5CN7LNQDRCU2F23MDMF2LLW/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":"2026-07-01T22:11:06Z","links":{"resolver":"https://pith.science/pith/FPV5CN7LNQDRCU2F23MDMF2LLW","bundle":"https://pith.science/pith/FPV5CN7LNQDRCU2F23MDMF2LLW/bundle.json","state":"https://pith.science/pith/FPV5CN7LNQDRCU2F23MDMF2LLW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FPV5CN7LNQDRCU2F23MDMF2LLW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FPV5CN7LNQDRCU2F23MDMF2LLW","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":"803bc0eb126646e60ed5d8953c83ee2e5cf76c13be37d6fb6a499eda643cee4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-05-24T11:47:56Z","title_canon_sha256":"df76c1b76987e230ddc60c3a00d258f2cf8230312af114019067f1e4bd03d434"},"schema_version":"1.0","source":{"id":"1905.11238","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11238","created_at":"2026-05-17T23:45:02Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11238v1","created_at":"2026-05-17T23:45:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11238","created_at":"2026-05-17T23:45:02Z"},{"alias_kind":"pith_short_12","alias_value":"FPV5CN7LNQDR","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"FPV5CN7LNQDRCU2F","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"FPV5CN7L","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:91442f552138beaae4ae8401124a72a10e88617e0f1d2e5017db506bef964048","target":"graph","created_at":"2026-05-17T23:45:02Z","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 this paper, we introduce a new variational inequality problem(VIP) associated with nonself multivalued nonexpansive mappings in $CAT(0)$ spaces.","authors_text":"Emirhan Hacio\\u{g}lu, Vatan Karakaya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-05-24T11:47:56Z","title":"Variational Inequalities on Geodesic Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11238","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":"sha256:99849d32d899857d29514c7d2fe1a2cd7356849d01da9329cfd4dc0a1e79339d","target":"record","created_at":"2026-05-17T23:45:02Z","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":"803bc0eb126646e60ed5d8953c83ee2e5cf76c13be37d6fb6a499eda643cee4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-05-24T11:47:56Z","title_canon_sha256":"df76c1b76987e230ddc60c3a00d258f2cf8230312af114019067f1e4bd03d434"},"schema_version":"1.0","source":{"id":"1905.11238","kind":"arxiv","version":1}},"canonical_sha256":"2bebd137eb6c07115345d6d836174b5db6ca7779f195f0f14e9ef12b4c48baef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2bebd137eb6c07115345d6d836174b5db6ca7779f195f0f14e9ef12b4c48baef","first_computed_at":"2026-05-17T23:45:02.603715Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:02.603715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HmNuILnSPGltyrYbK+6v+zwiyV17cIIrDcjTcrnn/P4Irpdp449rnyLqy0sdMk09LEGJ6m/+9JwRF7vpVpLvDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:02.604305Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.11238","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99849d32d899857d29514c7d2fe1a2cd7356849d01da9329cfd4dc0a1e79339d","sha256:91442f552138beaae4ae8401124a72a10e88617e0f1d2e5017db506bef964048"],"state_sha256":"8480d8a71211df255ccefaa3c2d8c1b135795716cd0243783e70367e141f5384"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kVG35nt6hMmMWMVVmNAdl5JzfA89FITgB9v6aEfZ9LMnylrNAMCatdZvwe/8Ak5Ea6eW7UtoEIHGoquZH+BjAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T22:11:06.684184Z","bundle_sha256":"35d192ae334ce01ec34ba203797733862b6c6688259f1c73ea2664be0ed161c1"}}