{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KAICTGS2T5URAGJ4BMXVHKURUF","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":"6809a390ea8576b392beee48b522f7a19598a98b3ebdaaba9d94fa71f883bc18","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.FA","submitted_at":"2024-11-22T08:50:34Z","title_canon_sha256":"bbefefd0786d67986724c43fcac2fee05e4de2cdb00f84a11c5b013870e116bc"},"schema_version":"1.0","source":{"id":"2411.14799","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.14799","created_at":"2026-07-05T09:48:37Z"},{"alias_kind":"arxiv_version","alias_value":"2411.14799v2","created_at":"2026-07-05T09:48:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14799","created_at":"2026-07-05T09:48:37Z"},{"alias_kind":"pith_short_12","alias_value":"KAICTGS2T5UR","created_at":"2026-07-05T09:48:37Z"},{"alias_kind":"pith_short_16","alias_value":"KAICTGS2T5URAGJ4","created_at":"2026-07-05T09:48:37Z"},{"alias_kind":"pith_short_8","alias_value":"KAICTGS2","created_at":"2026-07-05T09:48:37Z"}],"graph_snapshots":[{"event_id":"sha256:036c849b9c14ad2fcc59e805cbfe9bbbeb17c6401c0b4a919051701f645e7d2d","target":"graph","created_at":"2026-07-05T09:48:37Z","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/2411.14799/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we obtain order estimates for the Gelfand widths of intersections of finite-dimensional balls under some conditions on parameters.","authors_text":"A.A. Vasil'eva","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.FA","submitted_at":"2024-11-22T08:50:34Z","title":"Estimates for the Gelfand widths of intersections of finite-dimensional balls"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14799","kind":"arxiv","version":2},"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:f7e432e6a19851dd52a31d4a5c135864e59d1df173abba8f32f17d7255da082d","target":"record","created_at":"2026-07-05T09:48:37Z","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":"6809a390ea8576b392beee48b522f7a19598a98b3ebdaaba9d94fa71f883bc18","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.FA","submitted_at":"2024-11-22T08:50:34Z","title_canon_sha256":"bbefefd0786d67986724c43fcac2fee05e4de2cdb00f84a11c5b013870e116bc"},"schema_version":"1.0","source":{"id":"2411.14799","kind":"arxiv","version":2}},"canonical_sha256":"5010299a5a9f6910193c0b2f53aa91a1408d897c8f0cee9baf27b507cb1b5b8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5010299a5a9f6910193c0b2f53aa91a1408d897c8f0cee9baf27b507cb1b5b8b","first_computed_at":"2026-07-05T09:48:37.286080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:48:37.286080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VeC8kRg27PGpfqr9Qg06x5RxbOC9sxN653jgu3agSacgp4PRvaEdxLmFC/pjI5P/zsj2kImJ45ZjGR9yErHyCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:48:37.286499Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.14799","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7e432e6a19851dd52a31d4a5c135864e59d1df173abba8f32f17d7255da082d","sha256:036c849b9c14ad2fcc59e805cbfe9bbbeb17c6401c0b4a919051701f645e7d2d"],"state_sha256":"91e417704b12c5c7092e18dd2ab3f09f3c90f08190e26a3efce860ce7649e658"}