{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UFONKCE3LSXTHKQ7EO64T444N6","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":"cc99981aab5529ff729f2d87560daf06d16dd15da2281557f8b9145c27872153","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-05-18T20:40:11Z","title_canon_sha256":"791bd125c09f0157f1702dad59d6cc9259b6cb6878ac8d2e9f61b3876c109f41"},"schema_version":"1.0","source":{"id":"1105.3747","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3747","created_at":"2026-05-18T04:21:51Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3747v1","created_at":"2026-05-18T04:21:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3747","created_at":"2026-05-18T04:21:51Z"},{"alias_kind":"pith_short_12","alias_value":"UFONKCE3LSXT","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UFONKCE3LSXTHKQ7","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UFONKCE3","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:8bcd23c841295106d7094325d8922f6d3a5aa0ccad868b67cb2dc1fd66cd2846","target":"graph","created_at":"2026-05-18T04:21:51Z","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 work, we introduce some new generalized sequence space related to the space l(p). Furthermore we investigate some topological properties as the completeness, the isomorphism and also we give some inclusion relations between this sequence space and some of the other sequence spaces. In addition, we compute alpha-, beta- and gamma-duals of this space, and characterize certain matrix transformations on this sequence space.","authors_text":"Harun Polat, Necip Simsek, Vatan Karakaya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-05-18T20:40:11Z","title":"On some properties of new paranormed sequence space of non-absolute type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3747","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":"sha256:13ff8a6a53a0f440c5dc172e3c9f6120f104eccae86ecd9e529af9f47fb3bc04","target":"record","created_at":"2026-05-18T04:21:51Z","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":"cc99981aab5529ff729f2d87560daf06d16dd15da2281557f8b9145c27872153","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-05-18T20:40:11Z","title_canon_sha256":"791bd125c09f0157f1702dad59d6cc9259b6cb6878ac8d2e9f61b3876c109f41"},"schema_version":"1.0","source":{"id":"1105.3747","kind":"arxiv","version":1}},"canonical_sha256":"a15cd5089b5caf33aa1f23bdc9f39c6fbba075cc1993beb0e4ac2ae89e559944","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a15cd5089b5caf33aa1f23bdc9f39c6fbba075cc1993beb0e4ac2ae89e559944","first_computed_at":"2026-05-18T04:21:51.378110Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:51.378110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZI6eBYDP+B5uyPpxDZq7RcGiC7YBHgnd/EplszK1DSnIRVR+mCfQedhaeTLnLxyxgxKM07ivTX6AoVE/3zW6Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:51.378702Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.3747","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13ff8a6a53a0f440c5dc172e3c9f6120f104eccae86ecd9e529af9f47fb3bc04","sha256:8bcd23c841295106d7094325d8922f6d3a5aa0ccad868b67cb2dc1fd66cd2846"],"state_sha256":"b76ad8221fc53b58ce94d1be27b0964ab6b47a24f6c07c1433f57b7bb55b5d5c"}