{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4H2DQLGB5HFTMEJ5EYIW3RIG6G","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":"206e5e574cea2c676bfe95811d3ddd27b529cc44bbd2f32c8d88fe236461d208","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.IT","submitted_at":"2012-01-14T02:51:25Z","title_canon_sha256":"95a1147aecfb5d91603315d5fb65de901fb047387fb5be4bc5b202f60ca54128"},"schema_version":"1.0","source":{"id":"1201.2980","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2980","created_at":"2026-05-18T04:04:32Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2980v1","created_at":"2026-05-18T04:04:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2980","created_at":"2026-05-18T04:04:32Z"},{"alias_kind":"pith_short_12","alias_value":"4H2DQLGB5HFT","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4H2DQLGB5HFTMEJ5","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4H2DQLGB","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:394b07ea4c3e1d6f039c1b71ba1f812318b72099bddd49ed66b336697c8ba4f1","target":"graph","created_at":"2026-05-18T04:04:32Z","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":"Information algebra is algebraic structure for local computation and inference. Given an initial universe set and a parameter set, we show that a soft set system over them is an information algebra. Moreover, in a soft set system, the family of all soft sets with a finite parameter subset can form a compact information algebra.","authors_text":"Xuechong Guan, Yongming Li","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.IT","submitted_at":"2012-01-14T02:51:25Z","title":"Information algebra system of soft sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2980","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:ab925ce6c7117795a958901b47a98066a0b39fd70b4e2b197b95440f7c231f40","target":"record","created_at":"2026-05-18T04:04:32Z","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":"206e5e574cea2c676bfe95811d3ddd27b529cc44bbd2f32c8d88fe236461d208","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.IT","submitted_at":"2012-01-14T02:51:25Z","title_canon_sha256":"95a1147aecfb5d91603315d5fb65de901fb047387fb5be4bc5b202f60ca54128"},"schema_version":"1.0","source":{"id":"1201.2980","kind":"arxiv","version":1}},"canonical_sha256":"e1f4382cc1e9cb36113d26116dc506f1b8919a727359970ec75332a0531d7c45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1f4382cc1e9cb36113d26116dc506f1b8919a727359970ec75332a0531d7c45","first_computed_at":"2026-05-18T04:04:32.628266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:32.628266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uk1sH+ZQMYU3zkc2uf0jCPfu4s5bGa3Hz16tYWl35eo84xJyriwBsR9M6yJoGLAxXQcLize4TaTsUv0nsCPTAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:32.628985Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.2980","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab925ce6c7117795a958901b47a98066a0b39fd70b4e2b197b95440f7c231f40","sha256:394b07ea4c3e1d6f039c1b71ba1f812318b72099bddd49ed66b336697c8ba4f1"],"state_sha256":"76b3c4fc45d03f42ce3658b80e1d1f9bd85d76ed2ffc07673edb94476cf20db1"}