{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:T2QSOPKMNI56TKCXGXTXQM5J2Y","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":"a4f4ce52e82e1fd4ab31a4181471db0523b9560c0ee8cecacd7b8e71542fe91d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-07-07T19:09:03Z","title_canon_sha256":"ff6c3b37697555ed6bcd0c36a53e02a0ed45c4fac9a4d95a0610c678da257154"},"schema_version":"1.0","source":{"id":"1307.1900","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.1900","created_at":"2026-05-18T03:19:03Z"},{"alias_kind":"arxiv_version","alias_value":"1307.1900v1","created_at":"2026-05-18T03:19:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1900","created_at":"2026-05-18T03:19:03Z"},{"alias_kind":"pith_short_12","alias_value":"T2QSOPKMNI56","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T2QSOPKMNI56TKCX","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T2QSOPKM","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:8e1046d94761648535e650497a830fd05e9444538cf1f679ba636966f223c26d","target":"graph","created_at":"2026-05-18T03:19:03Z","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":"ETP is NP Hard combinatorial optimization problem. It has received tremendous research attention during the past few years given its wide use in universities. In this Paper, we develop three mathematical models for NSOU, Kolkata, India using FILP technique. To deal with impreciseness and vagueness we model various allocation variables through fuzzy numbers. The solution to the problem is obtained using Fuzzy number ranking method. Each feasible solution has fuzzy number obtained by Fuzzy objective function. The different FILP technique performance are demonstrated by experimental data generate","authors_text":"Arindam Chaudhuri, Kajal De","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-07-07T19:09:03Z","title":"Fuzzy Integer Linear Programming Mathematical Models for Examination Timetable Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1900","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:e0c79f6b16f6291b0bf49d1699f8f800ae5192ae0142cc51cbd6028396e64d57","target":"record","created_at":"2026-05-18T03:19:03Z","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":"a4f4ce52e82e1fd4ab31a4181471db0523b9560c0ee8cecacd7b8e71542fe91d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-07-07T19:09:03Z","title_canon_sha256":"ff6c3b37697555ed6bcd0c36a53e02a0ed45c4fac9a4d95a0610c678da257154"},"schema_version":"1.0","source":{"id":"1307.1900","kind":"arxiv","version":1}},"canonical_sha256":"9ea1273d4c6a3be9a85735e77833a9d604d554b0c1d0a93979e97c1b61525b71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ea1273d4c6a3be9a85735e77833a9d604d554b0c1d0a93979e97c1b61525b71","first_computed_at":"2026-05-18T03:19:03.196463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:03.196463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f7LftkvTLZtgJnuzgWERwcD88cfEr0x+HmCbgY9v+jq24nfyDnuwle8rTitsDY6PGTLlWY5Xss+HV4cQH4gtBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:03.197168Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.1900","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0c79f6b16f6291b0bf49d1699f8f800ae5192ae0142cc51cbd6028396e64d57","sha256:8e1046d94761648535e650497a830fd05e9444538cf1f679ba636966f223c26d"],"state_sha256":"0b34d6342e743305836cc823028ea255bf41d735580cb712fe9000451d10bc95"}