{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TJBUIJQTPY4FCYQOAN5W4PUK3E","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":"0a14497522427d26ce393868afb86735266ae67a43e33d2f996af6a3dd0f0e18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-23T14:49:04Z","title_canon_sha256":"b4181fda3eec51332828491c16fcd68bb9553ca74f29cc0f7ed86fabbbe40b3a"},"schema_version":"1.0","source":{"id":"1702.07239","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07239","created_at":"2026-05-18T00:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07239v1","created_at":"2026-05-18T00:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07239","created_at":"2026-05-18T00:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"TJBUIJQTPY4F","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TJBUIJQTPY4FCYQO","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TJBUIJQT","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:79b1045c99a00be91e51651b8259be30edeefe1ff426e5c4562af2affc52697c","target":"graph","created_at":"2026-05-18T00:50:07Z","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":"We provide a direct proof of a result regarding the asymptotic behavior of alternating nearest point projections onto two closed and convex sets in a Hilbert space. Our arguments are based on nonexpansive mapping theory.","authors_text":"Eva Kopecka, Simeon Reich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-23T14:49:04Z","title":"A note on alternating projections in Hilbert space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07239","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:a3e6433af961048b3963c03efe370abbedfe1052524ffd07943a9357bbc8c11f","target":"record","created_at":"2026-05-18T00:50:07Z","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":"0a14497522427d26ce393868afb86735266ae67a43e33d2f996af6a3dd0f0e18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-23T14:49:04Z","title_canon_sha256":"b4181fda3eec51332828491c16fcd68bb9553ca74f29cc0f7ed86fabbbe40b3a"},"schema_version":"1.0","source":{"id":"1702.07239","kind":"arxiv","version":1}},"canonical_sha256":"9a434426137e3851620e037b6e3e8ad92ad599348b024e1a225ecc62929b2003","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a434426137e3851620e037b6e3e8ad92ad599348b024e1a225ecc62929b2003","first_computed_at":"2026-05-18T00:50:07.765954Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:07.765954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iTs9Sxb2mRqUmdZ0o7bJXy7Xqa7xPqxIynaugfDQUu3eZu2n14kPRdsW9MltPJCIn1Pn53HZcoDf2S10/DzYBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:07.766684Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07239","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3e6433af961048b3963c03efe370abbedfe1052524ffd07943a9357bbc8c11f","sha256:79b1045c99a00be91e51651b8259be30edeefe1ff426e5c4562af2affc52697c"],"state_sha256":"fa1881bfb7f9e8e43fb213e9d09c8068e1421e8f92f9d573774215284cd14b29"}