{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:BTM3CTQ3DLRDPXQPJEX3WQLH4H","short_pith_number":"pith:BTM3CTQ3","schema_version":"1.0","canonical_sha256":"0cd9b14e1b1ae237de0f492fbb4167e1f79fbe1c182b2814a9a18c41dd036562","source":{"kind":"arxiv","id":"1302.3051","version":3},"attestation_state":"computed","paper":{"title":"Some Properties of Generalized Self-reciprocal Polynomials over Finite Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT","math.RA"],"primary_cat":"math.NT","authors_text":"Hyon-Chol Ri, Ok-Hyon Song, Ryul Kim","submitted_at":"2013-02-13T11:09:51Z","abstract_excerpt":"Numerous results on self-reciprocal polynomials over finite fields have been studied. In this paper we generalize some of these to a-self reciprocal polynomials defined in [4]. We consider some properties of the divisibility of a-reciprocal polynomials and characterize the parity of the number of irreducible factors for a-self reciprocal polynomials over finite fields of odd characteristic."},"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":"1302.3051","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-02-13T11:09:51Z","cross_cats_sorted":["cs.IT","math.IT","math.RA"],"title_canon_sha256":"bdb583db542afa8121467236dd423773d47f769c04a6962d49bf8989ca314765","abstract_canon_sha256":"b5154845494c5c02220cc40d9293ead696ea9dcffe1f01c69b33322f0a7384fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:43.629653Z","signature_b64":"wT2btPaMQv5e3nEfFDZ5zE5bRQg0KKgIe1szNrQymOV0bwHAr3kpXfxd4AX0BoewEvTzks0SWe1a3LqREgPwBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cd9b14e1b1ae237de0f492fbb4167e1f79fbe1c182b2814a9a18c41dd036562","last_reissued_at":"2026-05-18T02:48:43.629010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:43.629010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some Properties of Generalized Self-reciprocal Polynomials over Finite Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT","math.RA"],"primary_cat":"math.NT","authors_text":"Hyon-Chol Ri, Ok-Hyon Song, Ryul Kim","submitted_at":"2013-02-13T11:09:51Z","abstract_excerpt":"Numerous results on self-reciprocal polynomials over finite fields have been studied. In this paper we generalize some of these to a-self reciprocal polynomials defined in [4]. We consider some properties of the divisibility of a-reciprocal polynomials and characterize the parity of the number of irreducible factors for a-self reciprocal polynomials over finite fields of odd characteristic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3051","kind":"arxiv","version":3},"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":"1302.3051","created_at":"2026-05-18T02:48:43.629120+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.3051v3","created_at":"2026-05-18T02:48:43.629120+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3051","created_at":"2026-05-18T02:48:43.629120+00:00"},{"alias_kind":"pith_short_12","alias_value":"BTM3CTQ3DLRD","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"BTM3CTQ3DLRDPXQP","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"BTM3CTQ3","created_at":"2026-05-18T12:27:40.988391+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/BTM3CTQ3DLRDPXQPJEX3WQLH4H","json":"https://pith.science/pith/BTM3CTQ3DLRDPXQPJEX3WQLH4H.json","graph_json":"https://pith.science/api/pith-number/BTM3CTQ3DLRDPXQPJEX3WQLH4H/graph.json","events_json":"https://pith.science/api/pith-number/BTM3CTQ3DLRDPXQPJEX3WQLH4H/events.json","paper":"https://pith.science/paper/BTM3CTQ3"},"agent_actions":{"view_html":"https://pith.science/pith/BTM3CTQ3DLRDPXQPJEX3WQLH4H","download_json":"https://pith.science/pith/BTM3CTQ3DLRDPXQPJEX3WQLH4H.json","view_paper":"https://pith.science/paper/BTM3CTQ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.3051&json=true","fetch_graph":"https://pith.science/api/pith-number/BTM3CTQ3DLRDPXQPJEX3WQLH4H/graph.json","fetch_events":"https://pith.science/api/pith-number/BTM3CTQ3DLRDPXQPJEX3WQLH4H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BTM3CTQ3DLRDPXQPJEX3WQLH4H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BTM3CTQ3DLRDPXQPJEX3WQLH4H/action/storage_attestation","attest_author":"https://pith.science/pith/BTM3CTQ3DLRDPXQPJEX3WQLH4H/action/author_attestation","sign_citation":"https://pith.science/pith/BTM3CTQ3DLRDPXQPJEX3WQLH4H/action/citation_signature","submit_replication":"https://pith.science/pith/BTM3CTQ3DLRDPXQPJEX3WQLH4H/action/replication_record"}},"created_at":"2026-05-18T02:48:43.629120+00:00","updated_at":"2026-05-18T02:48:43.629120+00:00"}