{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HLBYEC73YZE3VF5UPT3LECK6FI","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":"2cfdd8ea7544f6339d57074fdb771ae031b56628cc2597ce68570502eda74089","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2026-03-07T22:17:06Z","title_canon_sha256":"68907d77f37b3c1c9fdeb6a696d50e8519020ce339e52f658a6ec91287a6be69"},"schema_version":"1.0","source":{"id":"2603.07362","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.07362","created_at":"2026-06-30T01:16:29Z"},{"alias_kind":"arxiv_version","alias_value":"2603.07362v2","created_at":"2026-06-30T01:16:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.07362","created_at":"2026-06-30T01:16:29Z"},{"alias_kind":"pith_short_12","alias_value":"HLBYEC73YZE3","created_at":"2026-06-30T01:16:29Z"},{"alias_kind":"pith_short_16","alias_value":"HLBYEC73YZE3VF5U","created_at":"2026-06-30T01:16:29Z"},{"alias_kind":"pith_short_8","alias_value":"HLBYEC73","created_at":"2026-06-30T01:16:29Z"}],"graph_snapshots":[{"event_id":"sha256:c884d0f10b1c54bae91e3398c902dda52753d4959808fb5eb6a9b4235ba35265","target":"graph","created_at":"2026-06-30T01:16:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2603.07362/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe $\\sigma$-matching, interchangeable and, as a consequence, totally compatible products on truncated polynomial algebras.","authors_text":"Feruza Toshtemirova, Jobir Adashev, Kobiljon Abdurasulov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2026-03-07T22:17:06Z","title":"$\\sigma$-matching and interchangeable structures on truncated polynomial algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.07362","kind":"arxiv","version":2},"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":"sha256:15ee14064b2b6a61689d1999b06764a575b304cb6fd46d77ffe052ebc111c105","target":"record","created_at":"2026-06-30T01:16:29Z","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":"2cfdd8ea7544f6339d57074fdb771ae031b56628cc2597ce68570502eda74089","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2026-03-07T22:17:06Z","title_canon_sha256":"68907d77f37b3c1c9fdeb6a696d50e8519020ce339e52f658a6ec91287a6be69"},"schema_version":"1.0","source":{"id":"2603.07362","kind":"arxiv","version":2}},"canonical_sha256":"3ac3820bfbc649ba97b47cf6b2095e2a338793776718565b6e6692edc81fefa9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ac3820bfbc649ba97b47cf6b2095e2a338793776718565b6e6692edc81fefa9","first_computed_at":"2026-06-30T01:16:29.046243Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:16:29.046243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KzrQi8s/myLf9UMi9tFP/f+JQ7Panedtt5OteKj2W9EtWddjry+UTWFBNLXSdbeHr4mfw9jR6l/PotYYTrpEBw==","signature_status":"signed_v1","signed_at":"2026-06-30T01:16:29.047280Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.07362","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15ee14064b2b6a61689d1999b06764a575b304cb6fd46d77ffe052ebc111c105","sha256:c884d0f10b1c54bae91e3398c902dda52753d4959808fb5eb6a9b4235ba35265"],"state_sha256":"48668633d58a234a6fde9c5ae90f15b7e4e76ced9fb25298832b7d03475769ed"}