{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:WMK45C5XKQOZDHJXMXM6V2UNZU","short_pith_number":"pith:WMK45C5X","schema_version":"1.0","canonical_sha256":"b315ce8bb7541d919d3765d9eaea8dcd2c129de7a364555defd534725c6a7b28","source":{"kind":"arxiv","id":"1411.7957","version":2},"attestation_state":"computed","paper":{"title":"Hom-alternative modules and Hom-Poisson comodules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Bakary Manga, Ibrahima Bakayoko","submitted_at":"2014-11-28T18:02:23Z","abstract_excerpt":"In this paper we introduce modules over both left and right Hom-alternative algebras. We give some constructions of left and right Hom-alternative modules and give various properties of both, as well as examples. Then, we prove that morphisms of left alternative algebras extend to morphisms of left Hom-alternative algebras. Next, we introduce comodules over Hom-Poisson coalgebras and show that we may obtain a structure map of a comodule over a Hom-Poisson coalgebra from a given one."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1411.7957","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-11-28T18:02:23Z","cross_cats_sorted":[],"title_canon_sha256":"eebbdcb05968c6a6d2547ff8e5bdeca82623cc0244d8c764886e1d5e75f8d0b5","abstract_canon_sha256":"1961fb837cfda8430985fb3ab2b13e5931b68c20d4844a2a1278ee6a794d7166"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:03.286930Z","signature_b64":"vTs5agEoVbltFTMA4gsY+m7Qv5zpCwHtwgrZUgwds19qwngQJ2MB1Eumw824wnRhXcBHop3vbrl3VwvzajQvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b315ce8bb7541d919d3765d9eaea8dcd2c129de7a364555defd534725c6a7b28","last_reissued_at":"2026-05-18T01:22:03.286505Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:03.286505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hom-alternative modules and Hom-Poisson comodules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Bakary Manga, Ibrahima Bakayoko","submitted_at":"2014-11-28T18:02:23Z","abstract_excerpt":"In this paper we introduce modules over both left and right Hom-alternative algebras. We give some constructions of left and right Hom-alternative modules and give various properties of both, as well as examples. Then, we prove that morphisms of left alternative algebras extend to morphisms of left Hom-alternative algebras. Next, we introduce comodules over Hom-Poisson coalgebras and show that we may obtain a structure map of a comodule over a Hom-Poisson coalgebra from a given one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7957","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1411.7957","created_at":"2026-05-18T01:22:03.286570+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.7957v2","created_at":"2026-05-18T01:22:03.286570+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7957","created_at":"2026-05-18T01:22:03.286570+00:00"},{"alias_kind":"pith_short_12","alias_value":"WMK45C5XKQOZ","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"WMK45C5XKQOZDHJX","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"WMK45C5X","created_at":"2026-05-18T12:28:54.890064+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WMK45C5XKQOZDHJXMXM6V2UNZU","json":"https://pith.science/pith/WMK45C5XKQOZDHJXMXM6V2UNZU.json","graph_json":"https://pith.science/api/pith-number/WMK45C5XKQOZDHJXMXM6V2UNZU/graph.json","events_json":"https://pith.science/api/pith-number/WMK45C5XKQOZDHJXMXM6V2UNZU/events.json","paper":"https://pith.science/paper/WMK45C5X"},"agent_actions":{"view_html":"https://pith.science/pith/WMK45C5XKQOZDHJXMXM6V2UNZU","download_json":"https://pith.science/pith/WMK45C5XKQOZDHJXMXM6V2UNZU.json","view_paper":"https://pith.science/paper/WMK45C5X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.7957&json=true","fetch_graph":"https://pith.science/api/pith-number/WMK45C5XKQOZDHJXMXM6V2UNZU/graph.json","fetch_events":"https://pith.science/api/pith-number/WMK45C5XKQOZDHJXMXM6V2UNZU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WMK45C5XKQOZDHJXMXM6V2UNZU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WMK45C5XKQOZDHJXMXM6V2UNZU/action/storage_attestation","attest_author":"https://pith.science/pith/WMK45C5XKQOZDHJXMXM6V2UNZU/action/author_attestation","sign_citation":"https://pith.science/pith/WMK45C5XKQOZDHJXMXM6V2UNZU/action/citation_signature","submit_replication":"https://pith.science/pith/WMK45C5XKQOZDHJXMXM6V2UNZU/action/replication_record"}},"created_at":"2026-05-18T01:22:03.286570+00:00","updated_at":"2026-05-18T01:22:03.286570+00:00"}