{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GVA672LTMAK3BXTGXEMXJ5UJSV","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":"5ef41b3a2e2cdf58540ce35a8a8892d34f435ea29108376574617e37c78224de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-02-03T08:06:27Z","title_canon_sha256":"042a97680f52be947fa57212b0b1d581c07f6746d15389256d8b111c5e1b28a4"},"schema_version":"1.0","source":{"id":"1702.00929","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00929","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00929v1","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00929","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"pith_short_12","alias_value":"GVA672LTMAK3","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GVA672LTMAK3BXTG","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GVA672LT","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:2e6309657f617dd7ff9ffd599815d5ea2fc704865142c75486540bd6c5715016","target":"graph","created_at":"2026-05-18T00:51:29Z","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":"In this paper we determine the $L^1\\to L^1$ and $L^{\\infty}\\to L^\\infty$ norms of an integral operator $\\mathcal{N}$ related to the gradient of the solution of Poisson equation in the unit ball with vanishing boundary data in sense of distributions.","authors_text":"David Kalaj, Djordjije Vujadinovic","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-02-03T08:06:27Z","title":"Gradient of solution of the Poisson equation in the unit ball and related operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00929","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":"sha256:15335ab6085cacb0d0e263f6f48d3809bbc64b2f375cb616bbb8cd3c30cab7ba","target":"record","created_at":"2026-05-18T00:51:29Z","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":"5ef41b3a2e2cdf58540ce35a8a8892d34f435ea29108376574617e37c78224de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-02-03T08:06:27Z","title_canon_sha256":"042a97680f52be947fa57212b0b1d581c07f6746d15389256d8b111c5e1b28a4"},"schema_version":"1.0","source":{"id":"1702.00929","kind":"arxiv","version":1}},"canonical_sha256":"3541efe9736015b0de66b91974f6899550c7a8f04641ba01d2d9852d028235bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3541efe9736015b0de66b91974f6899550c7a8f04641ba01d2d9852d028235bc","first_computed_at":"2026-05-18T00:51:29.388453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:29.388453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KUtZST4vn5kpnkxlbxL1/Rg27SRbRok9Nv3WPLf0Ubr+vJ2ipDM3y7JechAVdKKOIeY6o2qsEnyg+0AgTzX1Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:29.389020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.00929","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15335ab6085cacb0d0e263f6f48d3809bbc64b2f375cb616bbb8cd3c30cab7ba","sha256:2e6309657f617dd7ff9ffd599815d5ea2fc704865142c75486540bd6c5715016"],"state_sha256":"d5255f0df8883942fe16383c171503e4cd1a0a2ce1e2ef94e63be49a8dd3c77a"}