{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:UV3VKQHUIS7MY52IXM2ZFIRBEQ","short_pith_number":"pith:UV3VKQHU","schema_version":"1.0","canonical_sha256":"a5775540f444becc7748bb3592a2212437c02ed474203162b0219cac85e08c7d","source":{"kind":"arxiv","id":"1706.04247","version":1},"attestation_state":"computed","paper":{"title":"Star of David and other patterns in the Hosoya-like polynomials triangles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Antara Mukherjee, Rigoberto Florez, Robinson A. Higuita","submitted_at":"2017-06-13T20:41:34Z","abstract_excerpt":"In this paper we first generalize the numerical recurrence relation given by Hosoya to polynomials. Using this generalization we construct a Hosoya-like triangle for polynomials, where its entries are products of generalized Fibonacci polynomials (GFP). Examples of GFP are: Fibonacci polynomials, Chebyshev polynomials, Morgan-Voyce polynomials, Lucas polynomials, Pell polynomials, Fermat polynomials, Jacobsthal polynomials, Vieta polynomials and other familiar sequences of polynomials. For every choice of a GFP we obtain a triangular array of polynomials. In this paper we extend the star of Da"},"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":"1706.04247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-06-13T20:41:34Z","cross_cats_sorted":[],"title_canon_sha256":"5d560cbc7b991d6cd83b57a0287c20520f965409f05025938922bd3540aca6fd","abstract_canon_sha256":"2a6270647def960c58a07920b7fee80cc5b1ae4170032f8e774678d465e7dfae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:23.170603Z","signature_b64":"hTidvG6KNWHvuEgZCrKU8dp0c/sLZlOsqGNnvGDML65l+2dhSUux3r7cehgGA6gcdljl5kjJNAVWlkmz1qvBAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5775540f444becc7748bb3592a2212437c02ed474203162b0219cac85e08c7d","last_reissued_at":"2026-05-18T00:42:23.170105Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:23.170105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Star of David and other patterns in the Hosoya-like polynomials triangles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Antara Mukherjee, Rigoberto Florez, Robinson A. Higuita","submitted_at":"2017-06-13T20:41:34Z","abstract_excerpt":"In this paper we first generalize the numerical recurrence relation given by Hosoya to polynomials. Using this generalization we construct a Hosoya-like triangle for polynomials, where its entries are products of generalized Fibonacci polynomials (GFP). Examples of GFP are: Fibonacci polynomials, Chebyshev polynomials, Morgan-Voyce polynomials, Lucas polynomials, Pell polynomials, Fermat polynomials, Jacobsthal polynomials, Vieta polynomials and other familiar sequences of polynomials. For every choice of a GFP we obtain a triangular array of polynomials. In this paper we extend the star of Da"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04247","kind":"arxiv","version":1},"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":"1706.04247","created_at":"2026-05-18T00:42:23.170176+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.04247v1","created_at":"2026-05-18T00:42:23.170176+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04247","created_at":"2026-05-18T00:42:23.170176+00:00"},{"alias_kind":"pith_short_12","alias_value":"UV3VKQHUIS7M","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"UV3VKQHUIS7MY52I","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"UV3VKQHU","created_at":"2026-05-18T12:31:49.984773+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/UV3VKQHUIS7MY52IXM2ZFIRBEQ","json":"https://pith.science/pith/UV3VKQHUIS7MY52IXM2ZFIRBEQ.json","graph_json":"https://pith.science/api/pith-number/UV3VKQHUIS7MY52IXM2ZFIRBEQ/graph.json","events_json":"https://pith.science/api/pith-number/UV3VKQHUIS7MY52IXM2ZFIRBEQ/events.json","paper":"https://pith.science/paper/UV3VKQHU"},"agent_actions":{"view_html":"https://pith.science/pith/UV3VKQHUIS7MY52IXM2ZFIRBEQ","download_json":"https://pith.science/pith/UV3VKQHUIS7MY52IXM2ZFIRBEQ.json","view_paper":"https://pith.science/paper/UV3VKQHU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.04247&json=true","fetch_graph":"https://pith.science/api/pith-number/UV3VKQHUIS7MY52IXM2ZFIRBEQ/graph.json","fetch_events":"https://pith.science/api/pith-number/UV3VKQHUIS7MY52IXM2ZFIRBEQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UV3VKQHUIS7MY52IXM2ZFIRBEQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UV3VKQHUIS7MY52IXM2ZFIRBEQ/action/storage_attestation","attest_author":"https://pith.science/pith/UV3VKQHUIS7MY52IXM2ZFIRBEQ/action/author_attestation","sign_citation":"https://pith.science/pith/UV3VKQHUIS7MY52IXM2ZFIRBEQ/action/citation_signature","submit_replication":"https://pith.science/pith/UV3VKQHUIS7MY52IXM2ZFIRBEQ/action/replication_record"}},"created_at":"2026-05-18T00:42:23.170176+00:00","updated_at":"2026-05-18T00:42:23.170176+00:00"}