{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:E2LJWISRVLNJJ74HOKXYUFACHZ","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":"4e533dc2d61214d1a1a48bed205c2c1be54cc297b02c673c568746b8a99b2eda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-08-09T10:24:09Z","title_canon_sha256":"1fabb5b914d37b8fc63a499b40187ebf061f45fa0cd30ba10d63c71515a71124"},"schema_version":"1.0","source":{"id":"1808.03268","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03268","created_at":"2026-05-18T00:08:27Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03268v1","created_at":"2026-05-18T00:08:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03268","created_at":"2026-05-18T00:08:27Z"},{"alias_kind":"pith_short_12","alias_value":"E2LJWISRVLNJ","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"E2LJWISRVLNJJ74H","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"E2LJWISR","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:7bba131440582cd050f7f3fd43ecd0bb81cb73221080d46e7f0998f2491770d1","target":"graph","created_at":"2026-05-18T00:08:27Z","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 study the idea of strong-I^K-convergence of functions which is common generalization of strong-I*-convergence of functions in probabilistic metric spaces. We also study strong-I^K-limit points of functions in the same space.","authors_text":"Amar Kumar Banerjee, Mahendranath Paul","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-08-09T10:24:09Z","title":"Strong-I^K-Convergence in Probabilistic Metric Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03268","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:e526952928295836cf096521a2df2a88b8444cd478f2329d57407da1964d1a29","target":"record","created_at":"2026-05-18T00:08:27Z","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":"4e533dc2d61214d1a1a48bed205c2c1be54cc297b02c673c568746b8a99b2eda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-08-09T10:24:09Z","title_canon_sha256":"1fabb5b914d37b8fc63a499b40187ebf061f45fa0cd30ba10d63c71515a71124"},"schema_version":"1.0","source":{"id":"1808.03268","kind":"arxiv","version":1}},"canonical_sha256":"26969b2251aada94ff8772af8a14023e513988540c971eede92baecb98d23ed7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26969b2251aada94ff8772af8a14023e513988540c971eede92baecb98d23ed7","first_computed_at":"2026-05-18T00:08:27.801852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:27.801852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j9wl78d1qIcWolYXfBFRd+ggf8atP5fgOuHDGYPvalXQJnKpFl7XJaJAJLoVmbuDXh3TACf0iDgtEQDDLcFpAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:27.802402Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.03268","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e526952928295836cf096521a2df2a88b8444cd478f2329d57407da1964d1a29","sha256:7bba131440582cd050f7f3fd43ecd0bb81cb73221080d46e7f0998f2491770d1"],"state_sha256":"d4158868329a3ae70eccf05fc14f92bac75a8f9ffca0969d3ee142400abc892c"}