{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KZJ74YOHGP3ESSHKF5JPK3FALB","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":"54778b49ada19a3d8417bdf94de999e8b5dfdb4ffafac036b0273e3b7372b7b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-01-17T14:38:54Z","title_canon_sha256":"ccec20be1a7b05655ae72e79a7da18e90fd224f103f37c5f44c794ab38cc2b0f"},"schema_version":"1.0","source":{"id":"1801.05683","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05683","created_at":"2026-05-18T00:25:40Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05683v1","created_at":"2026-05-18T00:25:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05683","created_at":"2026-05-18T00:25:40Z"},{"alias_kind":"pith_short_12","alias_value":"KZJ74YOHGP3E","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KZJ74YOHGP3ESSHK","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KZJ74YOH","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:b532870782afd6af5b6c87c98f001a593e187ea7434aecef4eaf3e15f978a81a","target":"graph","created_at":"2026-05-18T00:25:40Z","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":"From the definition and properties of unital hom-associative algebras, and the use of the Kaplansky's constructions, we develop new algebraic structures called 2-hom-associative bialgebras, 2-hom-bialgebras, and 2-2-hom-bialgebras. Besides, we devise a construction of hom-left symmetric dialgebras and discuss their main relevant properties.","authors_text":"Gbevewou Damien Houndedji, Mahouton Norbert Hounkonnou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-01-17T14:38:54Z","title":"2-hom-associative bialgebras and hom-left symmetric dialgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05683","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":"sha256:136fe5039a239175cb662ec46c398f969f1da0b3c10938eeae87107a167f9cf9","target":"record","created_at":"2026-05-18T00:25:40Z","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":"54778b49ada19a3d8417bdf94de999e8b5dfdb4ffafac036b0273e3b7372b7b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-01-17T14:38:54Z","title_canon_sha256":"ccec20be1a7b05655ae72e79a7da18e90fd224f103f37c5f44c794ab38cc2b0f"},"schema_version":"1.0","source":{"id":"1801.05683","kind":"arxiv","version":1}},"canonical_sha256":"5653fe61c733f64948ea2f52f56ca0586526c24f5925284671d5aa89e9ca83be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5653fe61c733f64948ea2f52f56ca0586526c24f5925284671d5aa89e9ca83be","first_computed_at":"2026-05-18T00:25:40.436334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:40.436334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k9Pt5DDm3F2UX4STwcSLFrzNkMFj9Vk+zzGd1+Ou5QhLBPxlJUoJDJ9NIVBquEBb1ZgbJ78iGA186onRP7ROCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:40.436971Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.05683","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:136fe5039a239175cb662ec46c398f969f1da0b3c10938eeae87107a167f9cf9","sha256:b532870782afd6af5b6c87c98f001a593e187ea7434aecef4eaf3e15f978a81a"],"state_sha256":"eed02a83d8956c1eaa4479e05dc94d3c78b8d0d50d560782829ac4116e95d4b5"}