{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2E224IJUP7NEIZGFG4TTXVCBHD","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":"e2549562b1a252680ede47d4e5fbf8b6b196e0d1c9bd204757367eede65ce02b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2016-05-03T18:28:19Z","title_canon_sha256":"2b2e754734913e6af7c71f79a193f7157eb4d5a84f5d865520db8cd0f3706937"},"schema_version":"1.0","source":{"id":"1605.01304","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01304","created_at":"2026-05-18T01:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01304v1","created_at":"2026-05-18T01:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01304","created_at":"2026-05-18T01:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"2E224IJUP7NE","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2E224IJUP7NEIZGF","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2E224IJU","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:fceee8647c322a2064216285b85c4c3b06ccf030e071e894693564f5c863846f","target":"graph","created_at":"2026-05-18T01:15:37Z","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"},"paper":{"abstract_excerpt":"In this paper, we study composite mapping on hesitant fuzzy soft classes. We also establish some interesting properties of this notion and support them with examples. Also definitions of fuzzy soft image and fuzzy soft inverse image put forward by Kharal and Ahmad \\cite{kharal} have been reintroduced in hesitant fuzzy soft classes.","authors_text":"Bipan Hazarika, Manash Jyoti Borah","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2016-05-03T18:28:19Z","title":"Composite mapping on hesitant fuzzy soft classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01304","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":"sha256:6e1e4563ff380793005b53b8eb7f074eb91865b5bb9d129eb6de3248d51b1f78","target":"record","created_at":"2026-05-18T01:15:37Z","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":"e2549562b1a252680ede47d4e5fbf8b6b196e0d1c9bd204757367eede65ce02b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2016-05-03T18:28:19Z","title_canon_sha256":"2b2e754734913e6af7c71f79a193f7157eb4d5a84f5d865520db8cd0f3706937"},"schema_version":"1.0","source":{"id":"1605.01304","kind":"arxiv","version":1}},"canonical_sha256":"d135ae21347fda4464c537273bd44138fd6dab950f819ab4e0c1d891d21d9471","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d135ae21347fda4464c537273bd44138fd6dab950f819ab4e0c1d891d21d9471","first_computed_at":"2026-05-18T01:15:37.205352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:37.205352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WuX6NZvbFIQEkHyRCmTGAmvJg7jNakUppH7XCvObkc0Te58GklKkYRl2l6HTG9b/HjWUD/iudK7HGF2LHERsCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:37.206177Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01304","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e1e4563ff380793005b53b8eb7f074eb91865b5bb9d129eb6de3248d51b1f78","sha256:fceee8647c322a2064216285b85c4c3b06ccf030e071e894693564f5c863846f"],"state_sha256":"fbcb96de4d0453f3c80796ecd20d10f2e85dcfdc6e8de9abb0e69f5a60f570fa"}