{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FJRO47XZG3LHNXKJCROZKXO2BC","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":"e9da20365c7e164e7443cf95dce7c6816a078f3ce84ab8ffe6d4fad429e8f92e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-02-25T17:13:35Z","title_canon_sha256":"4f1f7d251ec17a2a0e1b8cfa59ba3acc5d77f905e7b8a3afddad62a788b7e31a"},"schema_version":"1.0","source":{"id":"1402.6247","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.6247","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"arxiv_version","alias_value":"1402.6247v1","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.6247","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"pith_short_12","alias_value":"FJRO47XZG3LH","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FJRO47XZG3LHNXKJ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FJRO47XZ","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:999603697f0a6c359e3b730e0d7a4a6eb8a3ee50e5da43328f8169e36ddac7ee","target":"graph","created_at":"2026-05-18T02:49:03Z","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":"The new concepts are introduced of almost overcomplete sequence in a Banach space and almost overtotal sequence in a dual space. We prove that any of such sequences is relatively norm-compact and we obtain several applications of this fact.","authors_text":"Clemente Zanco, Vladimir P. Fonf","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-02-25T17:13:35Z","title":"Almost overcomplete and almost overtotal sequences in Banach spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.6247","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:f598838a92087027b7893f6fab82502aec2d3f255925fb1cefca3ce3776b9f64","target":"record","created_at":"2026-05-18T02:49:03Z","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":"e9da20365c7e164e7443cf95dce7c6816a078f3ce84ab8ffe6d4fad429e8f92e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-02-25T17:13:35Z","title_canon_sha256":"4f1f7d251ec17a2a0e1b8cfa59ba3acc5d77f905e7b8a3afddad62a788b7e31a"},"schema_version":"1.0","source":{"id":"1402.6247","kind":"arxiv","version":1}},"canonical_sha256":"2a62ee7ef936d676dd49145d955dda088ce3693b02c531f9b45da227671cb21f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a62ee7ef936d676dd49145d955dda088ce3693b02c531f9b45da227671cb21f","first_computed_at":"2026-05-18T02:49:03.154884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:03.154884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hXJd7+Ng8iNAvkfByquP/edVZjnQc1/M4Jve1wNH+994bE0YMRKy1PE+Xas62BS/VjbeQ1uA/iNPeEGCfmyUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:03.155408Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.6247","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f598838a92087027b7893f6fab82502aec2d3f255925fb1cefca3ce3776b9f64","sha256:999603697f0a6c359e3b730e0d7a4a6eb8a3ee50e5da43328f8169e36ddac7ee"],"state_sha256":"0c41927dd3bf7052b96ebc13fcbcd7553e1940285b33e1a9efd3c9d32f461dbb"}